How Trader Performance Is Statistically Validated

A research archive on the quantitative methods used to tell skill from luck in a trading record — the statistics that actually validate trader performance, what a meaningful Sharpe ratio looks like for an independent trader, and where competition and audit data fall short. 35 articles span systematic strategy design, risk management, backtesting methodology, and championship-grade trader analysis.

2026

Regime Detection via Hidden Markov Models in Futures Markets

We apply a Gaussian HMM to classify volatility regimes across equity-index and commodity futures markets and evaluate whether regime-conditional position sizing improves risk-adjusted returns over a naive baseline.

Tail Risk in Leveraged Futures Portfolios: A Copula Approach

Standard VaR models underestimate joint tail risk in leveraged portfolios. We use vine copulas to model dependence structures across commodity and index futures during 2020–2025 stress events.

2025

Cross-Asset Correlation Dynamics in 2025: An Empirical Update

We update our rolling correlation analysis across equities, bonds, commodities, and FX through Q3 2025, finding that correlation breakdown during the August volatility event was more severe than models predicted.

On-Chain Metrics as Leading Indicators: An Empirical Study

Do on-chain metrics predict short-term price movements? We test 14 commonly cited indicators using Granger causality and out-of-sample forecasting on BTC and ETH daily data from 2020 to 2025.

Common Pitfalls in Walk-Forward Optimisation

Walk-forward analysis is widely recommended but poorly implemented. We catalogue seven failure modes observed in practitioner backtests and demonstrate their impact on reported Sharpe ratios.

Prediction Market Pricing Efficiency: A Statistical Review

We examine calibration, liquidity, and arbitrage bounds across three major prediction markets from 2022 to 2025, finding persistent mispricings in low-liquidity contracts that decay with a half-life of approximately 48 hours.

Drawdown Analysis Methods for Systematic Traders

Maximum drawdown alone is insufficient for strategy evaluation. We compare five drawdown metrics — including Calmar, Ulcer Index, and conditional drawdown-at-risk — and assess their discriminative power across strategy types.

Mean Reversion in FX Markets: A Statistical Framework

We develop a regime-aware mean reversion framework for G10 currency pairs using Ornstein-Uhlenbeck parameter estimation and evaluate signal generation quality across trending and range-bound environments.

Correlation Breakdown During Market Stress Events: 2008–2025

Portfolio diversification relies on stable correlations, which fail precisely when they matter most. We quantify correlation regime shifts across seven major stress events and evaluate dynamic hedging responses.

Decomposing Momentum Strategies Across Timeframes

Momentum premia vary significantly by holding period and look-back window. We decompose returns across 1-day to 12-month horizons in equity indices, FX, and commodities, isolating the contribution of each timescale.

Statistical Significance in Short Track Records

How much data is needed to distinguish skill from luck in trading? We compute the power of standard hypothesis tests at various sample sizes and show that most track records shorter than three years are statistically uninformative.

Quantitative Analysis of Trading Competition Returns: 2015–2025

We analyse publicly available return data from major independently audited trading competitions including the World Cup Trading Championships, examining risk-adjusted performance, consistency across years, and survivorship in the winner cohort.

2024

Volatility Targeting in Multi-Asset Portfolios

Constant-volatility targeting is a simple rule that materially improves risk-adjusted returns across asset classes. We examine its interaction with momentum signals and evaluate optimal target levels for different risk budgets.

Decomposing Carry Trade Returns in G10 FX

Carry returns can be decomposed into interest rate differential, spot return, and roll yield components. We examine which components dominate across rate cycles from 2015 to 2024 and test conditional carry strategies.

Bayesian Parameter Estimation for Trading Strategies

Point estimates of strategy parameters ignore uncertainty. We demonstrate Bayesian estimation of mean return, volatility, and Sharpe ratio using MCMC, producing credible intervals that give a more honest picture of expected performance.

Intraday Seasonality Patterns in Futures Markets

We document statistically significant time-of-day effects in ES, NQ, CL, and GC futures using five years of tick data. Certain 30-minute windows show persistent directional biases that survive transaction cost adjustment.

Fat Tails and Position Sizing: Why Normal Assumptions Fail

We demonstrate that Gaussian-based position sizing systematically underestimates tail risk exposure. Using Student-t and stable Paretian fits, we derive adjusted position sizes that account for empirical fat tails in futures returns.

Market Microstructure Effects on Retail Systematic Strategies

Retail traders face different microstructure frictions than institutional participants. We quantify the impact of spread widening, partial fills, and queue priority on strategy performance for account sizes under $500k.

Ensemble Methods for Trading Signal Combination

Combining multiple weak signals can produce a stronger composite. We compare equal weighting, inverse-volatility weighting, and machine learning ensembles on a universe of 20 systematic FX signals.

2023

Data Snooping and the Multiple Testing Problem in Strategy Development

Testing many strategy variants on the same data inflates the probability of finding a spuriously profitable result. We review White's Reality Check, Hansen's SPA test, and the Bonferroni correction in the context of strategy selection.

Transaction Cost Modelling for Realistic Backtests

A worked example shows how spread, slippage, and market impact can be parameterised from published market-microstructure ranges instead of a single fixed-cost assumption.

Trend Following and Crisis Alpha: Revisiting the Evidence

Trend following strategies are often marketed as providing "crisis alpha." We revisit this claim using CTA index data through 2023, finding that crisis alpha is concentrated in specific sub-strategies and is less reliable than commonly assumed.

On the Distribution of Maximum Drawdown

Maximum drawdown is the most psychologically salient risk metric for traders, yet its distribution is rarely estimated. We derive confidence intervals for maximum drawdown using the Bai-Perron framework and Monte Carlo simulation.

Extracting Trading Signals from the FX Volatility Surface

The implied volatility surface encodes market expectations of future price distributions. We examine whether risk reversal skew and butterfly spreads contain exploitable information for systematic FX strategies.

Interest Rate Sensitivity of Systematic Trading Strategies

The post-2022 rate environment has changed the return dynamics of many systematic strategies. We decompose the rate sensitivity of momentum, carry, and mean reversion strategies across asset classes and assess implications for portfolio construction.