Author(s):
1. Hadi Alizadeh Noughabi:
Department of Statistics, University of Birjand, Birjand, Iran
Abstract:
The Lindley distribution may serve as a useful reliability model. Applications of this distribution are presented in statistical literature. In this article, a powerful goodness of fit test for the Lindley distribution is proposed. In order to compute the proposed test statistic, we use the maximum likelihood estimate (MLE) suggested by Ghitany et al. (2008), which is simple explicit estimator. By Monte Carlo simulation, critical points of the proposed test statistic for different sample sizes are obtained. Power values of the proposed test are compared with the competing tests against various alternatives via simulations. Finally, two real data are presented and analyzed.
Page(s):
761-769
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 3, Year: 2021
Keywords:
Monte Carlo simulation
,
Lindley Distribution
,
KullbackLeibler information
,
Goodness of fit tests
,
Power study
,
Model validity
References:
References are not available for this document.
Citations
Citations are not available for this document.