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Apr 26, 2026 · 14 min

Statistical arbitrage in crypto: models, signals and risk

A beginner-focused introduction to statistical arbitrage, mean reversion, z-score, cointegration, backtesting and false precision.

STATISTICAL ARBITRAGEKOALAB

Models

Crypto arbitrage journal

Quick answer: what is statistical arbitrage?

Statistical arbitrage uses data to find relationships between assets. Instead of comparing the same coin on two exchanges, it may compare two related tokens, a spread, a basket or a derivative relationship. The goal is to trade when the relationship moves unusually far from its historical range.

Key terms

Correlation measures whether two assets move together. Cointegration suggests a more stable long-term relationship. Z-score measures how far a value is from its average. Mean reversion means movement back toward a normal level. Drawdown measures decline from a previous peak.

Example

Two tokens from the same sector may usually move together. If one rises sharply and the other lags, a model may identify an unusual spread. A strategy can buy the lagging asset and sell the stronger one, expecting convergence.

Why it is not guaranteed

Relationships break. Narratives change. Liquidity disappears. A coin can be hacked, delisted or repriced for valid reasons. Statistical signals are hypotheses, not facts.

Backtesting

A backtest checks historical behavior. It must include trading fees, slippage, realistic sizing and out-of-sample periods. A perfect-looking chart often hides overfitting.

Next reading

For automation, read AI arbitrage. For the simple definition, start with arbitrage meaning.

FAQ

Frequently asked questions

What is statistical arbitrage?

It is a quantitative approach that trades statistical relationships between assets when they deviate from historical behavior.

What is mean reversion?

It is the idea that a relationship far from its usual level may move back toward its average.

Why can backtests fail?

Because of overfitting, missing costs, dirty data, changing regimes, low liquidity or unrealistic execution assumptions.