Title
Parameter estimation of Lindley distribution with hybrid censored data.
Abstract
This study deals with the classical and Bayesian analysis of the hybrid censored lifetime data under the assumption that the lifetime follow Lindley distribution. In classical set up, the maximum likelihood estimate of the parameter with its standard error are computed. Further, by assuming Jeffrey’s invariant and gamma priors of the unknown parameter, Bayes estimate along with its posterior standard error and highest posterior density credible intervals of the parameter are obtained. Markov Chain Monte Carlo technique such as Metropolis–Hastings algorithm has been utilized to generate draws from the posterior density of the parameter. A real data set representing the waiting time of the bank customers has been analyzed for illustration purpose. A comparison study is conducted to judge the performance of the classical and Bayesian estimation procedure.
Year
DOI
Venue
2013
10.1007/s13198-012-0120-y
Int. J. Systems Assurance Engineering and Management
Keywords
Field
DocType
Lindley distribution, Hybrid censoring, Maximum likelihood estimate, Bayes estimate, Metropolis–Hastings algorithm, Highest posterior density credible interval
Mathematical optimization,Markov chain Monte Carlo,Metropolis–Hastings algorithm,Estimation theory,Maximum a posteriori estimation,Prior probability,Credible interval,Censoring (statistics),Bayes estimator,Mathematics
Journal
Volume
Issue
ISSN
4
4
0976-4348
Citations 
PageRank 
References 
8
0.87
5
Authors
2
Name
Order
Citations
PageRank
Puneet Gupta11158117.59
Bhupendra Singh2355.44