Goodness of fit test for uniform distribution with censored observation

Abstract

We develop new goodness of fit test for uniform distribution based on a conditional moment characterization. We study the asymptotic properties of the proposed test statistic. We also present a goodness of fit test for uniform distribution to incorporate the right censored observations and studied its properties. A Monte Carlo simulation study is carried out to evaluate the finite sample performance of the proposed tests. We illustrate the test procedures using real data sets.

A Generalized Measure of Cumulative Residual Entropy

“…The observations are the number of million revolutions before failure for each 23 ball bearings ordered according to life endurance. Later, the data is analysed by many authors includingKim and Han (2009),Dey and Dey (2014) andVaisakh et al (2023) …”