# Computation of Power Loss in Likelihood Ratio Tests for Probability Densities Extended by Lehmann Alternatives

## TL;DR

This paper analyzes how the power of likelihood ratio tests diminishes when testing parameters of probability densities extended by Lehmann alternatives, providing insights into test efficiency.

## Contribution

It introduces a method to quantify power loss in likelihood ratio tests for densities extended by Lehmann alternatives, a novel focus in statistical hypothesis testing.

## Key findings

- Quantifies power loss in specific likelihood ratio tests
- Provides formulas for power comparison
- Highlights implications for extended probability models

## Abstract

We compute the loss of power in likelihood ratio tests when we test the original parameter of a probability density extended by the first Lehmann alternative.