A TEST OF FIT FOR LINDLEY DISTRIBUTION

Authors_
JournalINTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING-THEORY APPLICATIONS AND PRACTICE
Page number665-677
Serial number28
Volume number6
IF0.565
Paper TypeFull Paper
Published At2021
Journal GradeISI
Journal TypeTypographic
Journal CountryIran, Islamic Republic Of
Journal IndexISI،JCR

Abstract

It is important to develop efficient goodness of fit test for Lindley distribution because it is one of the fundamental models applied for reliability models. This article introduces some test statistics for examining the Lindley goodness of fit based on the empirical distribution function. Critical points and the power of the tests are obtained by Monte Carlo simulation. We show that the proposed tests have a good performance against different alternatives, and therefore, these tests can be confidently used in practice. Finally, the proposed tests are illustrated by a real data example.

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tags: Empirical distribution function; Goodness of fit tests; Lindley distribution; Monte Carlo simulation; Power of test