# Goodness of fit test under progressive Type-I interval censoring

## TL;DR

This paper introduces new statistical tests for assessing uniformity in data subject to progressive Type-I interval censoring, with simulations demonstrating their effectiveness and extensions to continuous distributions.

## Contribution

It proposes novel test statistics for uniformity under progressive Type-I interval censoring and extends these methods to continuous distributions.

## Key findings

- Proposed tests have good power against various alternatives.
- Critical points for the tests are derived analytically.
- Methods are generalized to continuous distributions.

## Abstract

In this paper, we propose several statistics for testing uniformity under progressive Type-I interval censoring. We obtain the critical points of these statistics and study the power of the proposed tests against a representative set of alternatives via simulation. Finally, we generalize our methods for continuous and completely specified distributions.