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Inference on reliability for two-parameter geometric distribution
Published in DAV College
Volume: 11
Issue: 2
Pages: 291 - 300

For any product with lifetime X, the probability of surviving of the product beyond the mission time t is defined as the mission time reliability function R(t) = P(X ≥ t). If the lifetime is expressed as the number of cycles of operation, then X will be a discrete random variable. In this article, the reliability function R(t), for two-parameter geometric distribution has been obtained. Maximum Likelihood Estimator (MLE) and an Unbiased Estimator (UE) of the reliability function have been derived. MLEandUEofthereliability function of k-out-of-m system have also been derived. In the stress-strength setup,R =P(X ≤ Y) originated in the context of the reliability of a component of strength Y subjected to a stress X. If a component fails at any time, then the applied stress for the component is greater than its strength (i.e. X > Y) and there is no failure, when X ≤ Y. Thus, R is a measure of the reliability of the component. We estimated MLE and UE of R, when X and Y are assumed to follow twoparameter geometric distribution independently based on complete as well as censored samples. Finally, the performance of estimators was compared through simulation study.

About the journal
JournalInternational Journal of Agricultural and Statistical Sciences
PublisherDAV College
Open AccessNo