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Estimation of the Parameters of Length Biased Weighted Quasi Lindley Distribution and Its Applications to Lifetime Data
Abstract
In this paper, a length-biased, weighted quasi-Lindley distribution is proposed. The reliability characteristics, viz., survival function, hazard rate function, and mean residual life function for the proposed distribution are discussed. Different mathematical and statistical properties, viz., moments, generating functions, stochastic ordering, order statistic, and entropy of the proposed distribution have been derived and discussed. The parameters of the proposed distribution are estimated using the method of maximum likelihood estimation. The simulation study has been performed to check the consistency of the proposed estimators for the different variations in sample size and model parameters. Finally, two data sets are used to prove the applicability of the proposed distribution in a real-life situation.
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ISSN(P) 2350-0174

ISSN(O) 2456-2378

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