# New consistent exponentiality tests based on $V$-empirical Laplace transforms with comparison of efficiencies

## TL;DR

This paper introduces new consistent goodness-of-fit tests for exponential distribution using V-empirical Laplace transforms, compares their efficiencies, and evaluates their empirical power.

## Contribution

The paper proposes novel exponentiality tests based on V-empirical Laplace transforms and compares their efficiencies with existing tests.

## Key findings

- New tests are consistent and based on weighted distances of Laplace transforms.
- Extensive comparison of Bahadur efficiencies of various exponentiality tests.
- Empirical power analysis shows the effectiveness of the new tests.

## Abstract

We present new consistent goodness-of-fit tests for exponential distribution, based on the Desu characterization. The test statistics represent the weighted $L^2$ and $L^{\infty}$ distances between appropriate V-empirical Laplace transforms of random variables that appear in the characterization. In addition, we perform an extensive comparison of Bahadur efficiencies of different recent and classical exponentiality tests. We also present the empirical powers of new tests.