Informational Energy and Entropy Applied to Testing Exponentiality

  • Hadi Alizadeh Noughabi Department of Statistics, University of Birjand, Birjand, Iran
  • Havva Alizadeh Noughabi Department of Computer Engineering, University of Gonabad, Gonabad, Iran
  • Jalil Jarrahiferiz Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran
DOI: https://doi.org/10.19139/soic-2310-5070-616
Keywords: Informational energy, Entropy, Monte Carlo simulation, Testing exponentiality, Test power.

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.

Author Biographies

Hadi Alizadeh Noughabi, Department of Statistics, University of Birjand, Birjand, Iran
Department of Statistics, University of Birjand, Birjand, Iran
Havva Alizadeh Noughabi, Department of Computer Engineering, University of Gonabad, Gonabad, Iran
Department of Computer Engineering, University of Gonabad, Gonabad, Iran
Jalil Jarrahiferiz, Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran
Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran

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Published
2020-02-18
How to Cite
Alizadeh Noughabi, H., Alizadeh Noughabi, H., & Jarrahiferiz, J. (2020). Informational Energy and Entropy Applied to Testing Exponentiality. Statistics, Optimization & Information Computing, 8(1), 220-228. https://doi.org/10.19139/soic-2310-5070-616
Issue
Vol 8 No 1 (2020)
Section
Research Articles
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