A Three-Parameter Weighted Lindley Distribution and its Applications to Model Survival Time

Shanker Rama (), Shukla Kamlesh Kumar () and Mishra Amarendra ()
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Shanker Rama: Department of Statistics, Eritrea Institute of Technology, Asmara, Eritrea
Shukla Kamlesh Kumar: Department of Statistics, Eritrea Institute of Technology, Asmara, Eritrea
Mishra Amarendra: Department of Statistics, Patna University, Patna, India

Statistics in Transition New Series, 2017, vol. 18, issue 2, 291-310

Abstract: In this paper a three-parameter weighted Lindley distribution, including Lindley distribution introduced by Lindley (1958), a two-parameter gamma distribution, a two-parameter weighted Lindley distribution introduced by Ghitany et al. (2011) and exponential distribution as special cases, has been suggested for modelling lifetime data from engineering and biomedical sciences. The structural properties of the distribution including moments, coefficient of variation, skewness, kurtosis and index of dispersion have been derived and discussed. The reliability properties, including hazard rate function and mean residual life function, have been discussed. The estimation of its parameters has been discussed using the maximum likelihood method and the applications of the distribution have been explained through some survival time data of a group of patients suffering from head and neck cancer, and the fit has been compared with a one-parameter Lindley distribution and a two-parameter weighted Lindley distribution.

Keywords: moments; stochastic ordering; hazard rate function; mean residual life function; maximum likelihood estimation; lifetime data; goodness of fit (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:18:y:2017:i:2:p:291-310:n:3

DOI: 10.21307/stattrans-2016-071

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