A family of tests for trend change in failure rate function with right censored data
Article Type
Research Article
Publication Title
Journal of Statistical Computation and Simulation
Abstract
In this paper we extend the family of test proposed by Majumder and Mitra [Detecting trend change in failure functions-an L-statistic approach. Stat Pap. 2019;62:31–52. doi: 10.1007/s00362-018-01074-8] for testing exponentiality against bathtub (BT) failure rate (upside down bathtub (UBT)) to randomly right censored case. We derive the asymptotic distribution of the test statistic and using Monte Carlo simulation we obtain the empirical powers for certain alternative distributions. As a special case the asymptotic distribution of the test statistic proposed by Park [Testing whether failure rate changes its trend. IEEE Trans Reliab. 1988;37(4):375–378. doi: 10.1109/24.9842] is obtained. Finally some examples of real life data are given for illustrative purpose.
First Page
1191
Last Page
1203
DOI
10.1080/00949655.2023.2282740
Publication Date
1-1-2024
Recommended Citation
Saha, Aritra and Anis, M. Z., "A family of tests for trend change in failure rate function with right censored data" (2024). Journal Articles. 4537.
https://digitalcommons.isical.ac.in/journal-articles/4537