# A Note on Estimation of Stress-Strength Reliability under Generalized Uniform Distribution when Strength Stochastically Dominates Stress

## DOI:

https://doi.org/10.6092/issn.1973-2201/9557## Keywords:

Stress-strength reliability, Generalized uniform distribution, Stochastic dominance, Estimation## Abstract

In this note we find the UMVUE and a consistent estimator of the stress strength reliability of a system, whose strength stochastically dominates the stress. Strength of the system and the stress on it are assumed to be independently distributed, each having a generalized uniformdistribution. Simulation study has been carried out, and an application to real life data has also been cited.

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*Statistica*,

*82*(1), 57–70. https://doi.org/10.6092/issn.1973-2201/9557

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