Title
A generalized log-normal distribution and its goodness of fit to censored data
Abstract
In life testing experiments, the skewed distributions like log-normal, Weibull, gamma and generalized gamma are the most suitable models for recording the failure time measurements. In this paper, a generalized version of log-normal distribution is proposed and its goodness-of-fit for a randomly censored data set representing the remission times of bladder cancer patients has been demonstrated and compared with other lifetime models considered in the literature. The P-P plots of Kaplan-Meier estimator against the survival functions of the considered models are used to show the goodness-of-fit. A simulation study is also performed to estimate the parameters in both the classical and Bayesian setups.
Year
DOI
Venue
2012
10.1007/s00180-011-0233-9
Computational Statistics
Keywords
DocType
Volume
lifetime model,generalized gamma,life testing experiment,failure time measurement,generalized log-normal distribution,bladder cancer patient,maximum likelihood estimator · bayes estimator · squared error loss function · kaplan-meier estimator · markov chain monte carlo · gibbs sampler · highest posterior density intervals,Kaplan-Meier estimator,Bayesian setup,log-normal distribution,P-P plot,generalized version
Journal
27
Issue
ISSN
Citations 
1
1613-9658
1
PageRank 
References 
Authors
0.48
1
4
Name
Order
Citations
PageRank
Bhupendra Singh1355.44
Ajay K. Sharma213925.90
Shubhi Rathi310.48
Gajraj Singh410.48