International Journal of Science, Engineering and TechnologyProceeding Paper of ICMMSA 2023 Conference
Estimation of Reliability in a Consecutive linear/circular k-out-of-n system based on Weighted Exponential-Lindley distribution
Authors- Sunita Sharma; Vinod Kumar
Abstract- -Consecutive k-out-of-n systems have gained significant attention and found diverse applications across various domains. This research article introduces a Classical and Bayesian approach for reliability estimation in Consecutive linear/circular k-out-of-n: F systems using the Weighted Exponential-Lindley distribution. By employing this distribution to model component lifetimes, we obtained maximum likelihood and Bayesian estimates for reliability using squared error loss function. In cases where exact forms are unattainable, Lindley’s approximation and the Markov chain Monte Carlo method are utilized to derive Bayes estimates. We also examined mean time to failure and constructed credible intervals to estimate Bayes reliability. To assess and compare the effectiveness of these estimators, we carried out a Monte Carlo simulation study.
