Testing the validity of the exponential model for hybrid Type-I censored data

AuthorsMajid Chahkandi
JournalCommunications in Statistics - Theory and Methods
Page number5770-5778
Serial number47
Volume number47
IF0.311
Paper TypeFull Paper
Published At2018
Journal GradeISI
Journal TypeTypographic
Journal CountryIran, Islamic Republic Of
Journal IndexJCR،Scopus

Abstract

The exponential distribution has been used in life-testing and reliability studies. In this article, we first express the entropy of Type-I hybrid censoring scheme in terms of hazard function and provide an estimate of the entropy of Type-I hybrid censored data. Then, we construct a goodness-of-fit test statistic based on Kullback–Leibler information for Type-I hybrid censored data. The test statistic is used to test for exponentiality. A Monte Carlo simulation is conducted to obtain the power of the proposed test against various alternatives. Finally, a data example is presented for illustrative purpose.

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tags: Entropy, Hybrid Type-I censoring, Kullback–Leibler information, Monte Carlo simulation, Power study, Test for exponentiality.