The testing of renewal failure rate classes of life distributions and their duals are considered. These classes are the new better than used renewal failure rate and new better than average renewal failure rate. These two classes include many other classes of life distributions. Test statistics for testing of exponentiality as a null hypothesis against these two renewal ageing criteria, and their duals, as an alternative, are derived in the case of randomly censored samples. Percentiles tables, power estimates, estimated risks are calculated. The normality of their test statistics is also studied.

life distributions, closure properties, power estimates, right censoring, estimated risks, NBURFR, NBARFR.

Received: July 9, 2022; Accepted: August 19, 2022; Published: October 10, 2022

How to cite this article: Gamal R. Elkahlout, Tests for renewal failure rate properties with random censoring, Far East Journal of Theoretical and Applied Sciences 1 (2022), 5-24. http://dx.doi.org/10.17654/TAS2022002

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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