Informational Energy and Entropy Applied to Testing Exponentiality

AuthorsHavva Alizadeh Noughabi,Jalil Jarrahiferiz
Journalstatistics optimization and information computing
Page number220-228
Serial number8
Volume number1
Paper TypeFull Paper
Published At2020
Journal GradeISI
Journal TypeTypographic
Journal CountryChina
Journal IndexScopus

Abstract

The exponential distribution is widely used in reliability and life testing analysis. In this paper, two tests of fit for the exponential distribution based on Informational Energy and entropy are constructed. Consistency and other properties of the tests are proved. Using a simulation study, critical values of the proposed tests are obtained and then power values of tests are computed and compared with each other against various alternatives. Finally, we apply the tests for time between failures of secondary reactor pumps and waiting times for fatal plane accidents in the USA from 1983 to 1998.

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tags: Informational energy, Entropy, Monte Carlo simulation, Testing exponentiality, Test power.