Browsing by Author "Pramendra Singh Pundir"

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Bivariate extension of bathtub-shaped distribution
(Springer, 2022) Puneet Kumar Gupta; Pramendra Singh Pundir; Vikas Kumar Sharma; M. Mesfioui
Modeling of bathtub-shaped hazard rate function commonly arises in reliability and survival analyses. The present article introduces a bivariate extension of the Chen distribution that has bathtub-shaped hazard function. The proposed distribution has closed-form expressions for the joint survival function and conditional distributions. Several properties of the proposed distribution such as joint moments, marginals and conditional distributions are discussed. We obtain maximum likelihood estimators for estimating the unknown parameters using the expectation-maximization algorithm. At the end, application of the proposed distribution is illustrated by means of a real-life application. © 2022, The Author(s), under exclusive licence to Society for Reliability and Safety (SRESA).
Some inferences on reliability measures of two-non-identical units cold standby system waiting for repair
(Springer, 2022) Rohit Patawa; Pramendra Singh Pundir; Alok Kumar Sigh; Abhinav Singh
This article scrutinizes the behavior of a two dissimilar units cold standby repairable system with waiting time facility. The time to failure for each of the units is exponentially distributed with different failure rates whereas the repair time distributions of both the units follow one parameter Lindley distribution with different repair rates. The waiting time distribution for both the units is identically one parameter Lindley distribution. Unknown parameters, that are used to evaluate the measures of system effectiveness such as MTSF and steady-state availability, have been estimated by using maximum likelihood approach and Bayesian approach under different types of priors. A simulation study at the end exhibits the behavior of such a system. The Monte-Carlo technique is employed to draw observations for this simulation study. © 2021, The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden.