Estimation of Reliability in Multicomponent Stress-strength Based on Generalized Exponential Distribution

By G. Srinivasa Rao. 2014

61 citations recorded by the source corpus.

A multicomponent system of k components having strengths following k-independently and identically distributed random variables X_{1}, X_{2},..., X_{k} and each component experiencing a random stress Y is considered. The system is regarded as alive only if at least s out of k (s < k) strengths exceed the stress. The reliability of such a system is obtained when strength and stress variates are given by generalized exponential distribution with different shape parameters. The reliability is estimated using ML method of estimation in samples drawn from strength and stress distributions. The reliability estimators are compared asymptotically. The small sample comparison of the reliability estimates is made through Monte Carlo simulation. Using real data sets we illustrate the procedure.

Subfields: Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/cfb2de0a0e75cfe1e2352d01376ee1cd05301548

Citations in the corpus

• Exponentiated Transmuted Generalized Raleigh Distribution: A New Four Parameter Rayleigh Distribution (2015, unknown): “These two data sets also studied by Rao (2014) to estimation of reliability in multicomponent stressstrength based on generalized.”