Empirical likelihood ratio-based goodness-of-fit test for the Lindley distribution

Hadi Alizadeh Noughabi; Mohammad Shafaei Noughabi

doi:10.19139/soic-2310-5070-1481

Hadi Alizadeh Noughabi Department of Mathematics and Statistics, University of Gonabad, Gonabad, Iran
Mohammad Shafaei Noughabi Department of Mathematics and Statistics, University of Gonabad, Gonabad, Iran

DOI: https://doi.org/10.19139/soic-2310-5070-1481

Keywords: Lindley distribution, Empirical likelihood ratio, Goodness-of-fit test, Monte Carlo simulation, Test power

Abstract

The Lindley distribution may serve as a useful reliability model. In this article, we propose a goodness of fit test for the Lindley distribution based on the empirical likelihood (EL) ratio. The properties of the proposed test are stated and the critical values are obtained by Monte Carlo simulation. Power comparisons of the proposed test with some known competing tests are carried out via simulations. Finally, an illustrative example is presented and analyzed.

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