A New Application of Hoeffding's Inequality Can Give Traders Early Warning of Financial Regime Change

TL;DR

This paper introduces a novel application of Hoeffding's Inequality to financial trading, using deviations in trading strategy performance as early indicators of market regime changes.

Contribution

It proposes a new method leveraging Hoeffding's Inequality to detect early signs of financial regime shifts based on trading performance deviations.

Findings

Deviations in trading performance can signal regime changes.

Hoeffding's Inequality provides probabilistic bounds for regime change detection.

The approach offers a quantitative early warning system for traders.

Abstract

Hoeffding's Inequality provides the maximum probability that a series of n draws from a bounded random variable differ from the variable's true expectation u by more than given tolerance t. The random variable is typically the error rate of a classifier in machine learning applications. Here, a trading strategy is premised on the assumption of an underlying distribution of causal factors, in other words, a market regime, and the random variable is the performance of that trading strategy. A larger deviation of observed performance from the trader's expectation u can be characterized as a lower probability that the financial regime supporting that strategy remains in force, and a higher probability of financial regime change. The changing Hoeffding probabilities can be used as an early warning indicator of this change.