Definition

Central Limit Theorem

Meaning ⎊ A statistical principle explaining why the sum of many random variables tends toward a normal distribution.
Greeks.liveMarch 12, 2026

Central Limit Theorem

The Central Limit Theorem is a fundamental statistical concept stating that the sum or average of a large number of independent, identically distributed random variables will follow a normal distribution, regardless of the underlying distribution. This theorem is the bedrock of many statistical methods used in finance.

It explains why the normal distribution is so widely used, even though it is often an imperfect model for market returns. In finance, the theorem helps analysts make predictions about large portfolios by assuming that the aggregate behavior will be predictable even if individual assets are not.

However, it does not apply to situations where variables are highly correlated or where extreme events dominate, as is often the case in crypto market crashes.

Central Bank Liquidity
Initial Margin Requirements
Order Execution Engine
Novation
Limit Order Depth
Risk Limit
Maximum Position Size
Cross-Chain Asset Swaps

Glossary

Central Limit Theorem

Application ⎊ The Central Limit Theorem (CLT) provides a foundational principle for modeling price distributions in cryptocurrency markets, options valuation, and financial derivatives, even when individual asset returns do not follow a normal distribution.