Stats

Premises1.Frozen managed5day/1.5R2021–25holdout219trades,p121/219=.5525114,mean+.0727050%,W1.5862244%,L1.7960281%;total12.48156%,annualcompound2.38027%.2.Seed9090000 NumPy20000 circular5tradeblockmeanbootstrap gives95%CI[-.1643239,+.3210968]% pertrade;positivefraction.7152 is not posteriorprobability;lag1correlation-.06355.3.Dailyclose equityreturns regressed onSPY viaNumPyOLS withBartlettNeweyWest5lagHAC:beta.25433,alpha-.0017566%/day,t-.08235,R2.12165. GrossSPYJan4 2021–Dec31 2025price-adjustedbuyhold97.9859%,different exposureandcostprofile.4.6bp/side becomes16bp/side ->mean-.1272406%,return-27.41278%;all6stressvariantslose;only2/6basevariantspositive. Conclusion no statistically established tradablealpha; do not choose5daylookback because it looksbest. Inference valid conditional on thissimulation; soundnesslimited by chronology reused acrosspreviousstudies,sectorselection,OHLCexecution assumptions andpotentialstructuralbreaks. Strongcounterexample:positive2026managed10.78925% over35trades merits prospective examination but cannot erase failedtraining-6.78617%,testCI orcostfragility. Prior skeptical, not universal reversal rejection; change toqualifiedonlywithpredeclaredfreshindependentactualfillresults whose conservativecostedCIexcludes0. Fullnormalizedreturn12.48%over5years is not12.48%annual oraccount. Clinical side calculation:inferred14/29vs9/34gives21.8053pp andunadjustedtwo-sidedFisherp.114704;notprespecifiedtrialtest anddoesnotasserttrialfailure. Sources observations16059–16076; https://runway.adityaperswal.workers.dev/data/stock-bars ; https://www.nber.org/system/files/working_papers/w17653/w17653.pdf ; issuer observation16026.

1. Frozen1112 selected UNI p31/61=.5081967, averagewin5.26320986%, loss6.76088799% gives expectancy-.6502808859% and clipped quarter Kelly0. Break-evenwinprobability56.227819% exceedsobserved50.819672%; no inventedconfidence fromN61selectedreturns. Own BTC trade10 raw-.0809902%,N1operatorliquidation, no avgwin or reliable slippage/stopfrequency. 2. Latest00:06 top10quotes8fresh. BTC/ETH recovery hurdles .5250/.5245%, HYPE.9360%, using(ask/bid)/.9975^2-1; cap212.7475 exceedsBTC/ETHdisplayedtopsize~79/84USD. Maker fillprobability/adverse selection unmeasured, cannot assume makerfees rescue rule. 3. Sixty completed dailylogreturnsBTC-ETHcorrelation.8793,BTC-SOL.8246,ETH-SOL.8173; annualizedvol38.9248/57.0439/51.9245%. Strongtrend andhighcorrelationcanproduce missedcashrally butnot independentbets or entryconditionededge. 4. OKX00:02sixfresh afterclockoffset.6255s uncertainty.5128s: forecastBTC.480751bp,ETH.800743,SOL-.926835; settlement fields.480256/.7966/-.939, nextfunding08UTC. No stable annualizationfromonesample; OIcontractquantities216? useexactobservation16007, no inferred directional spotflow. Conclusion0risk. Sources https://runway.adityaperswal.workers.dev/data/crypto-bars ; https://runway.adityaperswal.workers.dev/data/crypto-snapshots ; https://www.okx.com/api/v5/public/funding-rate ; https://www.okx.com/api/v5/public/open-interest ; https://docs.alpaca.markets/us/docs/crypto-fees .

Premises: (1) Queried Catalyst trade history contains three losses: MIRM -0.439321%, IONS -2.842420%, RARE -45.860062%; arithmetic mean -16.380601%. Two exits were operator liquidations, so this is a descriptive selected sample, not a causal strategy estimate. No observed winner means average winning payoff is undefined. (2) RARE lost 6.440348 times the distance from entry to its listed stop, demonstrating that this stop did not bound realized loss. (3) Frozen AVO vectorbt backtest1158, with 10bp fees and 10bp slippage per side, has chronological holdout N6, p=.5, average win1.318443%, loss3.743633%, expectancy -1.212595%, net return -7.331815%, drawdown9.371961%; all16 variants lose. Python recomputation clips quarter-Kelly to zero. (4) TLX event audit500 has zero valid training events and one positive holdout; momentum503 fails training and holds through events, so its positive holdout does not estimate pre-PDUFA returns. Sources: runway:query_trades?fund=catalyst ; runway:query_research?fund=catalyst&kind=analyses&analysisKind=backtest ; https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=AVO&timeframe=1Day&feed=sip&adjustment=all . Valid inference: no calibrated positive edge supports size. Counterexample: future run-ups may win; these small selected samples do not prove universal inefficiency is absent. No new backtest, technical signal, Monte Carlo or fresh price collection is claimed. Existing failed methods remain frozen rather than repeatedly retuned. Observation16039 preserves calculations.

1. Python recomputes1112 p31/61,win5.26320986%,loss6.76088799% => -.6502808859% arithmetic expectancy/trade; clippedquarterKelly0. OwnclosedBTC10 raw-.0809902126%,N1operatorliquidation,avgwinundefined; no reliable stop/target frequency or slippage calibration. 2. Direct21:02quotes7/10fresh<=300s; BTC78455.176/78473.97 bid/ask depth77.95/79.16USD, ETH2483.2/2483.8 depth82/83.12USD. 25bp credited-asset fee each leg yields requiredrecovery=(ask/bid)/.9975^2-1:BTC.5260%,ETH.5262%,SOL.5995%,XRP.8561%. Onevenue displayeddepth isnot total liquidity;212.7475cap exceedsBTC/ETH top-size. 3. OKXclockoffset.5226s uncertainty.4487s,6/6fresh; forecastBTC.318339bp,ETH.401021,SOL-.481504 versussettlementfield.640084/.560016/-.000283. Funding periods differ; swapquantity isnot directional spotflow. Counterexample tighter futurecosts could help butnot supply validation. Source https://runway.adityaperswal.workers.dev/data/crypto-snapshots ; https://www.okx.com/api/v5/public/funding-rate ; https://www.okx.com/api/v5/public/open-interest ; https://docs.alpaca.markets/us/docs/crypto-fees .

1. Python recomputation p31/61,w5.26320986%,loss6.76088799% gives expectancy-.6502808859% andclippedquarterKelly0. OwnBTCtrade10return-.08099021%,N1operatorliquidation; avgwin undefined, no identifiable fill slippage orstop/targetfrequency. 2.19:42quotes7/10fresh<=300s, BTC78432.3/78442.9 depth77.65/78.68USD;ETH2482.825/2483.495 depth83.26/82.75;SOL103.21/103.3 depth98.92/98.69. Under25bpcreditedassetfee/leg recovery=(ask/bid)/.9975^2-1:BTC.5155%,ETH.5290%,SOL.5895%,XRP.8889%. Depth isonevenue displayed top only; hard212.7475cap cannot assume immediate fills. 3. OKXclockoffset.218s,uncertainty.2995s;6/6fresh. FundingforecastBTC.307532bp,ETH.383867,SOL-.341401;19:00->19:42coinOI-.431136%/-.050713%/-.030278%. These quantities are not global positiondirection. Counterexample lowerfuturecosts could help, but cannot supply independentedge. https://runway.adityaperswal.workers.dev/data/crypto-snapshots ; https://www.okx.com/api/v5/public/open-interest ; https://www.okx.com/api/v5/public/funding-rate ; https://docs.alpaca.markets/us/docs/crypto-fees

Premises: 1. Sep8 agency https://www.census.gov/econ/qfr/mmws/current/qfr_mg.pdf Table p9 same-vintage USDmillion profits359388/295242/215550 divided by sales2324071/2130066/1980333 yields15.463727/13.860697/10.884533%. Python arithmetic, Q2/Q1/Q2prior; reported updated quarterly nominal totals, not annualized returns. Retail rounded ratios9.5893/5.8813/5.5987% https://www.census.gov/econ/qfr/retail/current/index.html . 2. Manufacturing inventory+2.7373% and six-component debt+.5842%QoQ https://www.census.gov/econ/qfr/mmws/current/qfr_pub.pdf Table1.1; stock variables unadjusted. 3. Coverage thresholds omit smaller firms; manufacturingURR56.4 but salesTQRR87.5, retailURR49.7/salesTQRR87.3. TableO pretaxSE1361m and salesRSE.6% do not supply aftertax ratio covariance; no fabricated margin CI/regression. 4. July27 methodology https://www.census.gov/econ/qfr/documents/QFR_Methodology.pdf says216-16 vscurrent216-26; preserve discrepancy without guessing method caused rise. Professional services profit not significantly different from prior losses challenges universal improvement. Valid conclusion: favorable aggregate crosscheck, not identified scarcity rents or September storm effects. Soundness limited by method comparability/nonsampling effects, selected aggregate tables and absent causal identification. Prior noedge unchanged; firm delivered margin plus separate prospective net rule required. Observations15899–15902,15915–16. No exhaustive sector/debt/suppression census claimed.

1. Python/NumPy refresh: selected1112p31/61,w5.26320986%,loss6.76088799% yields-.6502808859%/trade,clippedquarterKelly0. Owntrade10raw-.08099021%,N1operatorliquidation,avgwinundefined; cannotestimate ruleprobability or slippagebyorder/session. 2.16:32snapshot7/10fresh<=300s;BTC78675.9/78690.759,depth78.09/78.27USD;ETH2491.27/2491.742,83.71/83.25USD;SOL103.906/104,97.80/99.33USD. Tier1taker25bp/leg creditedassetfee, L=1-(b/a)*.9975^2,recovery=L/(1-L). BTC/ETH.5209%,SOL.5928%,XRP.8823%,LTC1.1525%;sevenriskassetmedian.6957%. Quoteisnotguaranteedfill/fullbook. 3. OKX16:32clockoffset.5048s uncertainty.592s,6/6fresh; fundingforecastBTC.556315bp,ETH.502431,SOL-.073454. Scheduled15:15->16:30coinOI+.02953489%,-1.30224975%,-1.65222594%,~75min; ownexchange quantities cannot establish global direction. Counterexample narrowerfuturecosts help but do not invalidate failedhistoricaledge. https://www.okx.com/api/v5/public/open-interest ; https://www.okx.com/api/v5/public/funding-rate ; https://runway.adityaperswal.workers.dev/data/crypto-snapshots ; https://docs.alpaca.markets/us/docs/crypto-fees

Premises1 reread frozen vectorbtbacktest1158 and CLI1159; actual chronological event holdout2025–26 N6 after2021–24trainingN16,10bpfees+10bpslippageeachside lost7.3318%,all16variantsnegative. Source https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=AVO&timeframe=1Day&feed=sip&adjustment=all .2 Python thisrun reproduces p.5,W1.3184425721%,L3.7436325013%,expectancy-1.2125949646%/event,clippedquarterKelly0.3 Exactledger runway:query_trades?fund=catalyst reproduces3losses,mean16.3806011337%,PnL-31.9372580268,RARE6.44035Rloss. Twooperatorliquidations censor intended horizons; no averagewin/arrivalquotes for slippage. Conclusion zero new allocation under49.14fundcap and8.5099equityriskcap. Smallselectedcohort,missingarchivaladvance-notices,structuralbreak anddaily-versus15minfills limit generalization. Strongcountercase newregime couldimproveedge; independentprospectivelyspecifiedcostedholdout required. No rerun/retuning or newMonteCarlo: previous1164/1165technical/indicator and1169simulation remain frozen and rejected; fresh price alone cannot repair statistical gate.

1. Snapshot13:51:7/10fresh<=300s;USDC,USDG,USDTstale. BTCbid/ask77664.17/77692.345,bothdepth<78USD;ETH2448.59/2449.35,bothdepth<83USD;SOL102.06/102.1,bothdepth<97USD. Tier1creditedassetfee25bp/leg;L=1-(b/a)*.9975^2, recovery=L/(1-L). BTC/ETH/SOLrecovery.5383/.5331/.5413%,7riskassetmedian.6990%,LTC1.1394%. This is quotedcost floor before additional slippage, not guaranteed fill. 2. OKXclockoffset.2161s,uncertainty.3422,6/6fresh. Fundingforecastbp.838056/.605250/-.109224 BTC/ETH/SOL;~66mincoinOI+.010109/+2.748160/-.566604%. OIcannotidentify buyer direction; one exchange not global. 3. SoleclosedBTCN1loss.080990%operatorliquidation cannotcalibratewinprobability. Frozenselectedexpectancy-.650281% andquarterKelly0. No size. https://www.okx.com/api/v5/public/open-interest ; https://www.okx.com/api/v5/public/funding-rate . Sources https://runway.adityaperswal.workers.dev/data/crypto-bars ; https://runway.adityaperswal.workers.dev/data/crypto-snapshots ; https://docs.alpaca.markets/us/docs/crypto-fees .

Premise1 frozen costed AVO vectorbt backtest1158 and CLI1159: holdout return-7.3318%,drawdown9.372%,N6,all16variantsnegative; prior-session entry expired. Recomputed in research/audit.py p=.5,W1.3184425721%,L3.7436325013%,mean-1.2125949646%/event; clipped quarterKelly0. History source https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=AVO&timeframe=1Day&feed=sip&adjustment=all . Premise2 current query_trades fund=catalyst, observation15835: all3losses, twooperatorliquidations censor intended horizons; no observedavgwin, no arrivalquotes to estimate market-order slippage. RARE loss6.44035R demonstrates gaps defeat nominal stop risk. Conclusion zero new allocation. Validity: necessary numeric-edge gate fails. Soundness: selected small event cohort and daily fills do not establish all future trades fail. Strongest countercase new regime could improve expectancy; independent notice-aware holdout under stressed costs needed before sizing, not a higher price today. Existing technical1164/indicators1165/simulation1169 remain frozen; no new backtest or MonteCarlo is warranted merely to seek a different answer in a trading audit.

Premises:1. Sponsor Aug19 cutoff has14/29 versus9/34 responses; randomization33/35 and safety31/34 differ.2.Scipy exact intervals replicate sponsor armCI29.4–67.5/12.9–44.4; unstratified exploratory two-sided Fisher .114704, HPV+8/10vs3/9 p.069779, HPVnegative6/19vs6/25 p.734974. These are own diagnostics, not prespecified stratified/SAP tests or proof trial failed.3.HPV+reported differenceCI[-2.7,80.3]pp crosses0; imputing all5nonevaluable as nonresponses changes overall difference21.8053 to16.7100pp,p.200852; sensitivity not actualITT.4.Relatedgrade>=3 15/31vs4/34,difference36.6224pp, exploratoryFisher.002188; multiple endpoints and unequalfollowup8.02/6.31months limit inference. Conclusion favorable response direction but broad uncertainty and safety qualification; do not label confirmatory superiority. Counterexample randomized mechanism-consistent subgroup and PFS may predict later benefit despite low power; missingSAP/ITT/event-level censoring prevent final adjudication. Prior research-only retained; larger prospectivelyspecified replication with preciseITTbenefit and acceptable safety would improve clinical confidence, but no mapping to stockwinprobability exists. Source https://inhibrx.com/wp-content/uploads/2026/09/Inhibrx-Investor-Presentation_Sept-2026.pdf; complete count diagnostics15792/archive15788–91.

Premise1 query_trades fund=catalyst (runway:query_trades?fund=catalyst) returned3closed,0open/pending/closing. Recomputed exactfillreturns MIRM-.439321%,IONS-2.842420%,RARE-45.860062%,meanloss16.380601%,aggregate-$31.937258. Twooperatorliquidations censor intendedhorizons;no winningtrade to estimateaveragewin. One stop exit RARE-6.44035R; no arrivalquote so ordertypeslippage cannotbeestimated. Premise2 frozen vectorbtbacktest1158/CLI1159, technical1164/indicators1165 and simulation1169 already recorded; no newtestorparametersearch this tradingrun. AVO heldoutp.5,W1.3184425721%,L3.7436325013% => expectancy-1.2125949646%/event and clippedquarterKelly0. Sixevents,return-7.3318%,DD9.372%,all16variantsnegative;selectedsmallcohort andmissinghistoricalnotice/filldata remain limitations. Source https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=AVO&timeframe=1Day&feed=sip&adjustment=all . Conclusionzero; unknownpostreleasep/W/L for morningnamesalso implyzero. Numericmonthlyshortfall cannotenteredge. Counterexamplefutureevents couldperformdifferently; prospectivelyvalidatednewregime is needed, not retrospective optimism.

Recomputed from complete supply ledger https://runway.adityaperswal.workers.dev with numpy: FRO3.805163%,STNG.752257%,mean2.278710%,grossPnL4.977287,N2,wins2,losses0,bothoperatorliquidation. Wilson95% win interval34.238–100% is only an IID illustration; exits share operator intervention and period so independence is unsupported. Premise1: observedwins are real; counterexample: discretionary liquidation removed original6–8week exposure. Premise2: calibratededge requires win and loss distribution for actual rule; loss distribution unavailable, slippage benchmark absent,stop/targetfrequency unobserved. Valid conclusion is insufficient calibration, not a100%winforecast; quarterKelly cannotbecomputed from ownrecord. Earlier frozen costed holdouts carry stronger rejection evidence; do not manufacture loss magnitude from arbitrary stop. No holdings requireRreview.

1. Sep8 12:32:53 tenpair snapshot8/10 fresh(valid0–300s),USDC/USDG stale. BTCbid/ask78399.493/78418.13,depth78.02/78.50USD; ETH2474.9/2475.54,82.88/82.33USD; SOL103/103.1,97.83/294.80USD. Primary Alpaca fee schedule tier1taker25bp/leg,creditedasset. L=1-(bid/ask)*(1-f)^2; recovery=L/(1-L). BTC/ETH/SOLrequiredrecovery.5258/.5279/.5995%,LTC1.1204%;sevenriskassetmedian.6782%. Displayed quote not full depth/guaranteed fill; single snapshot not distributionofstrategyreturns. 2. OKX12:31forecastfundingbpBTC.674490,ETH.447317,SOL-.110328;6/6 exchange-clock freshness. Versus11:30 coinOI+.564913%,+.997001%,+.469672% over~61min. Not globalOI, actualsettlement or independent buyingsignal. 3. OneclosedBTCtrade raw-.080990%,47.93min,operatorliquidation; cannot estimate profitable conditionalwinprobability or order/session slippage. Conclusion keep failedfunding/trendrules rejected. Sources https://www.okx.com/api/v5/public/open-interest ; https://www.okx.com/api/v5/public/funding-rate ; https://runway.adityaperswal.workers.dev/data/crypto-snapshots ; https://docs.alpaca.markets/us/docs/crypto-fees .

Premise1 query_tradesfundcatalyst3closedalllosses,meanloss16.3806%,total-31.937258;2operatorliquidationscensorplannedexits.0/3doesnotprovep0:IIDbinomialone-sided95%upper63.1597%,butheterogeneoussampleinvalidatesusingitascalibration;avgwinunknown. Premise2 frozenAVOT1time trainN16mean-1.03766%,holdoutN6mean-1.21259%,bootstrapCI[-3.75774,1.05684]%;medianholdout+.01312%doesnotoffsetlosstail. Premise3 OLST1netreturnonmatchingSPYopen-close:trainalpha-1.03893%,beta.01461,R2.0000647;holdoutalpha-.614015%,beta1.07551,R2.098246,N6too smallcausalinference. Conclusion no measurablepositiveedge;clippedquarterKelly0. Counterexampletruenewpostmergeredgecoulddiffer,requiresprospectivedatainsteadretuning. Sources runway:query_trades?fund=catalyst ; https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=AVO,SPY&timeframe=1Day&feed=sip&adjustment=all . EventprimaryURLsobservations152xx;sampleisoneissuersurvivorselectedfortodaydate,notuniverseestimate.

1424 matched daily logreturns2021–Sep4 2026, MATX/SPY/IYT consolidatedSIP adjustmentall https://runway.adityaperswal.workers.dev/data/stock-bars. Annualvol39.3144%; 1/5/50/95/99percentiles[-6.25904,-3.60672,.118246,3.57557,7.17046]%. CorrelationsMATX/SPY.467525,MATX/IYT.565051. NumpyOLS MATX~constant+SPY+IYT coefficients[.000589068,.199300,.899655],R².322242. Contemporaneousdescriptivefactorfit, not prospectiveexcessreturn or causalweatheridentification; no significanceclaimed forintercept, residualautocorrelation/selection uncontrolled. Sourcecovers selectedcurrentticker and totalreturn-like adjustedprices, not everydelistedshipper. CommercialsourceJulyportmeasurement is lagged and cannotbe regressed as dailySeptemberweatherwithoutinventedobservations. Financialpayoffbootstrap recorded separately; no newedge inferred.

Premises:1.Holdout2021-25primarymanaged59trades -20.223927%, p47.457627%,W1.760979/L2.269039%,mean-.356488%; all18managedholdoutcellsnegative.2.Numpyseed90808 20000circular3monthblocks over60monthlyobservations: meanmonthly-.350547%,95%CI[-.986158,.309412]%;stressmean-.644055%,CI[-1.274572,.016671]. Not statisticallyprovennegativeat95%; doesnotmeetpositiveedgegate.3.Parent+45.283467%,52trades is strongestcounterargument, but monthlyCI[-.391552,1.959745]%spanszero. RegressdailysleeveonSPYrawreturns,OLS+NeweyWest5lags:parentbeta.705791,alpha-.002253%/day,t-.06746;managedbeta.049662,alpha-.019773%/day,t-1.41597. No riskfree series used, so interceptdescriptive notformalexcessalpha.4.Managed2024+4.671905% counterevidence but other4holdoutyearsnegative; selectionnotstableindependentedge. 21XLK+18XLEentries of59 (66.10%) means9symbolsnot9independentbetstreams. Statsmodelsabsent; implementedmatrixOLS/BartlettHACinNumPy,notlibraryclaim. Conclusionrejectcurrentallocation, futurepreregisteredfinerexecution/prospectiveevidence could moveconfidence; repeatedhistory andsamedaypathuncertaintyremain. Source https://runway.adityaperswal.workers.dev/data/stock-bars ; diagnosticsobservations; frozen1011/1014.

1. Python parses9compact-format scheduled snapshots Sep8 03:00–07:45UTC,90pair observations; all63 nonstable quotes fresh<=300s,all27stablecoin quotes stale. This is a format-selected irregular cohort fromlatest80notes, not a complete tick history. Source https://runway.adityaperswal.workers.dev/data/crypto-snapshots . 2. Under25bp taker fee on credited assets eachleg (https://docs.alpaca.markets/us/docs/crypto-fees), unchanged-price liquidation loss L=1-(bid/ask)*.9975^2; break-even proportional quote rise=L/(1-L). Median required rises BTC.533295%,ETH.533470%,SOL.604749%,XRP.916908%,UNI.690296%,LTC1.109501%,LINK.693474%. Previous rt_pct label measures L, not the slightly larger recovery hurdle; distinction does not rescue any rule. 3. BTC/ETH displayed bid and ask notionals below212.7475cap in9/9; SOLbid9/9,ask6/9. Minimum BTCask78.68/bid77.69,ETH81.51/81.90,SOL97.11/97.18USD. Hidden liquidity and replenishment unknown; small displayed size is not a hard market capacity limit, but rules assuming unlimited top-price fills are unsupported. 4. Eight paired irregular logmid intervals correlate BTCETH.89048,BTCSOL.94677,ETHSOL.93054. N8 and asynchronous timestamps preclude reliable population estimates or independent signals. Conclusion maintain execution gate and zero size. Strongest counterexample resting makers may improve fees/spreads, but queue position, fill probability and adverse selection are untested. Valid inference: observations contradict cost-free execution assumption; not proof no possible crypto edge. No backtest returns generated by this descriptive study. Every derived row in observations15066–15076; raw source notes and local quote_study.py preserve provenance.

Premises:1 HTTP success means data returned, not valid execution backtest.2 Sparse trade bars cannot identify historical bid/ask and stop execution every15min.3 Default history provenance must be verified independently of current quote entitlement. Audit script research/audit.py, Sep1–4 four regular sessions104 bins per contract; TLT25bars/23regular114trades3764volume, ETHA6bars/6regular8trades119volume. Counts and full bar records saved observations. Missing bins retained as missing, not zero return or forward-filled tradable marks. Both explicit feed parameters400 unexpected query parameter; default200. Current OPRAchain403 unsignedagreement does not establish historical API is inaccessible. Correct shorthand: actual option backtest sample0, not zero historical records. Provider docs distinguish derived indicativequotes/trades from OPRA; default bar provenance unresolved. IV changed on unchanged Sep4quotes across2requests; uncertainty in field synchronization. These2 retrospectively selected cheap legs and4days are selection-biased, cannot estimate general p/W/L; no new strategy backtest claimed. Existing simulation1083 and backtests1045–1054 remain rejected evidence, not rerun. Sources https://runway.adityaperswal.workers.dev/data/option-bars?symbols=TLT260914P00081000,ETHA260925P00015500&timeframe=15Min&start=2026-09-01T00:00:00Z&end=2026-09-05T00:00:00Z&limit=1000 ; https://docs.alpaca.markets/us/docs/historical-option-data .

Premise1: fixedtrend-on/compression.75costedhourlyholdout hasBTC29,ETH36,XRP20,UNI27,LTC28,LINK31closedtrades;SOLinvalidmissingexit. Premise2:10000circular3-consecutive-tradeblockbootstrapmeans,seed2026090819(afterdailyresampling),95%intervalsBTC[-1.79545,+.18982],ETH[-1.59207,+.26329],XRP[-1.97177,+.71816],UNI[-2.48233,+3.37523],LTC[-2.30090,+.10418],LINK[-2.53588,+.37503]percent/trade. Everyintervalspanszero; noneprovidespositivelowerbound. Bootstrapfractionpositive.0618/.0866/.2001/.5545/.0367/.0715isconditionalresamplingfrequency,notposterioralphaodds. Dependencebeyond3trades/regimesandmissingdatascenariosremainunmodeled. Premise3: dailyfixedruleonly3trades(3entrydates),pooledwins2/3=66.6667%,Wilson95%20.766–93.851%,mean+.025765%,illustrativeIIDbootstrapmean95%[-4.084055,+3.132727]. Independenceandcoverageunproven, so eventcountcannotjustifyKelly. Actualequalinitial7assetportfolio return+.011042%,DD.579989%; analysis1099explicitlylabeledLINKstandaloneDD4.084055%, notportfolioDD. Conclusionpositivearithmeticmeanorhighsmall-samplewinratecannotjustifyallocation. UNIhourly+.262007%meanstillcompoundreturn-.895130%andfailedtraining; selectionwinnerUNIwithoutfilters loses42.91764%inholdout. QuarterKellyplug-infromweakpositivepointestimateisnotapprovedsize; approved0. Validityfailuretorejectzeroisnotproofofzeroedge; requiredpositiveevidenceabsent. Soundnessconditionalontestedfamily,costassumptions,currentuniversesurvivorship,bar-levelambiguousfillsandrule-localhistoricalholdout. Strongestcounterexamplelargerindependentprospectivecohortcouldestablishpositiveedge; gatheritwithoutretuningrejectedhistory. Sources https://runway.adityaperswal.workers.dev/data/crypto-bars ; https://docs.alpaca.markets/us/docs/crypto-fees . statistics.py/results/stats.json; observations14971–14977.

Premises:1.Holdout2021–25 monthlyvarianceautocorrelation SPY.302715/EFA.261939/EEM.181362 (N60each) exceeds magnitudeofpastvariance-nextreturncorrelations .066414/.071986/-.069683; returnslope HAC3t .599/.517/-.452. Varianceforecastplausibility isnotreturnedge.2.SPY RV22parentholdout+32.6921%,DD7.7314%,zero-cash-rateSharpe.9915 versusunscaled+64.3234%,DD27.8984%,Sharpe.7072. Three-monthcircularblockbootstrap20k draws,N60 givesparentmonthlymean.485719%,95%CI[.048656,.940556];pairedtiming-minusunscaledCI[-1.012717,.260920]%.Dailyregressionannualalpha2.708055%,HAC5t1.710795,beta.280150,notstrongindependentalphaevidence.3.ManagedSPYmonthlymean-.123803%,CI[-.230989,-.021702]%;alpha-1.001145%,t-2.026836versusmatchedunscaledmanaged. EFA/EEMmanagedmonthlymean-.157911/-.313683%,CIs[-.304715,-.018066]/[-.585769,-.046293].4.TrainSPYunitpayoffmean+.936173% becomesweighted-.025548%; meanweight.440289 timesunitmean=.412186%,covweight/payoff=-.437734percentagepoints. Inholdoutunitmean-.160226%,weighted-.123803%. Kellymustusetheactualweighting; publishedriskcontrolcannotcreateindependentpayoff. Soundnessconditionalonfixed3ETFpanel/shortcalibration/priorresearchreuse; block/HAC intervalsdiagnostic,notmultiple-testingadjustedorforwardprobabilities. Source https://runway.adityaperswal.workers.dev/data/stock-bars ; QVM90806diagnostics/weighted scripts; allfiguresstored observations.

Premises1 frozenT5barrier eventreturns in recordedobservations; sources https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=LOVE,SFIX,SPY&timeframe=1Day&feed=sip&adjustment=all .2 OLS(intercept,priorSMA50flag,momentum20flag,SPY200flag,vol20) LOVEtrainN16R2.162,holdoutN7R2.681 butonly2residualdegreesfreedom; SFIXtrainN20R2.526,holdoutN10R2.080 andrank4becauseSPYtrendconstant. No regression forecast or causal claim.3 Equal-yearbootstrapLOVEholdoutCI[.072,6.579]%lookspositivebutestimatesdifferentweightedmeanfrom7eventCI[-1.048,6.139]% andresamplesonly3years; no substitutionforfailedgate.4 LeaveoneoutLOVEmeans1.883–4.113%holdout; SFIXtrainingallnegative-2.676to-1.669%; exclude2020trainingmeansLOVE3.525%,SFIX-1.839%. Wholemarketmisses: only2freshissuersselectedbeforepriceinspection; repeatedissuerquartersdependent,crossnamesnotindependentmacroshock. Priorunvalidated; wouldchangeonlywithpreregisteredprospectivecalendar,matchedcohort,netmeanuncertaintyabove0andactualexecutioncheck. Censoredlive3losses provide no averagewin; don'tpoolbiotechwithretail.

1255matched dailylogreturns Sep2021–Sep4 2026. CF SIP,peersIEX adjustmentall https://runway.adityaperswal.workers.dev/data/stock-bars . CFannualizedvol38.3374%;1/5/50/95/99pctiles[-6.54592,-3.82171,.106695,3.88321,6.15356]%. Correlations CF/MOS.631186,CF/NTR.678122,CF/SPY.166138. NumpyOLS CF~constant+SPY+MOS+NTR coefficients[.000897788,-.163206,.284375,.524489],R².505259. Descriptive contemporaneous regression, not causal scarcity identification or prospectivealpha; no inference from positiveintercept without independenttest andselection control. Correlatedpeers make conditionalbeta differ from pairwisecorrelation. MatchedCF1256sessions IEXvsSIP opening absolutepercentage difference median.21175%,p95.92168%,max2.68442%;48sessions>1%. SIPhas2additionaldays. Sep4opens133.74IEX/135.43SIP,closeboth133.35. ADR20SIP4.857175 exceedsIEX4.44475by9.27892%. Feedcoverage changes breakoutlevels/stops and training sign. Zero volume/duplicate/OHLCordering checks pass; rawSIP/IEX recentbars saved. Adjusted data approximate totalreturns but do not certify dividendcash mechanics or executionquotes. Current survivingtickers, no delistedcompanies and missing historical global physicalspread observations are selection gaps.

Premises:1 Variance forecasts must be evaluated on future returns unavailable when forecast formed.2 A pooled mean bias adjustment can mimic indicator skill.3 Correlated ETFs are not independent events. Frozen note963 before results. SIP adjusted daily2022-Sep4 2026,8 ETFs1173bars each,IBIT665,ETHA533; start after60returns; benchmark f=.5*(252mean last20 r²+252EWMA r² alpha.06). Four groups negative5return x belowSMA50. At disjoint10session origins within each train/test partition, realized a=252mean next10r². Group multiplier=(sum train a/f+20)/(Ng+20); train2022-25,N825; holdout2026,N160. QLIKE=a/f-log(a/f)-1. Train .318527->.301612; holdout .303423->.275747, paired delta-.027676. Numpy seed2026090806,10000 resamples of monthly blocks retaining intra-month cross-asset dependence,8 holdout blocks,95%CI[-.087978,.016767]. Eight blocks and different inception dates limit inference; prior origins never consume future test returns, current Sep4 unscored. Secondary frozen note969 global multiplier1.181661 gives holdoutQLIKE .281482; grouped incremental delta-.005735 CI[-.015465,.005064], seed2026090807. Thus most measured gain can be simple calibration; cannot establish downside regime edge. Multipliers groups0/1/2/3=1.223964/1.085256/1.223216/1.103578,counts312/114/166/233. Downtrend groups do not show strongest multiplier, contradicting naive leverage prior. Soundness limited by selected existing ETFs, adjusted returns not raw ex-div option paths, pooled assets and only8monthlyblocks. Source https://runway.adityaperswal.workers.dev/data/stock-bars?timeframe=1Day&feed=sip&adjustment=all ; models research/analyze.py/control.json. Forecast improvement is not option-return backtest. Do not adopt; retain as exploratory prospective hypothesis.

Python pandas/numpy, matched daily log returns2022–Sep4 2026, IEX adjustment=all https://runway.adityaperswal.workers.dev/data/stock-bars . Raw counts GD1172/GE1173/TXT1172;1171 matched returns. GD/GE correlation.34985, GD/TXT.52545, GE/TXT.47580; shared macro/defense factors and GE corporate transformations confound economic substitution. Correlation is neither tariff-event causality nor a hedge ratio. GD daily quantiles1/5/50/95/99%=[-3.58259,-1.88758,.073469,2.00976,3.72127]%, annualized sample volatility20.9136%. Current-ticker selection and feed coverage miss delisted firms and most global aircraft owners. No event surprise series or transaction-price microdata, so a causal regression is not identified and was not fabricated. Frozen-rule holdout7 returns from observation12763 average-1.08743%;20000 IID bootstrap resamples, seed20260908,95% mean interval[-1.99661,.175079]%. Seven selected trades and a lone winner give weak tail calibration; interval crosses zero and point edge is negative. Supply's2 closed operator-liquidation wins provide no empirical losing-trade mean. Numeric evidence supports zero size, not a probability for the political threat. Full measured correlations, quantiles and trade distributions recorded12752–12776.