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The Harris Extended Exponential Distribution

Author

Listed:
  • Luis Gustavo Bastos Pinho
  • Gauss Moutinho Cordeiro
  • Juvêncio Santos Nobre

Abstract

A new lifetime distribution is proposed and studied. The Harris extended exponential is obtained from a mixture of the exponential and Harris distributions, which arises from a branching process. Several structural properties of the new distribution are discussed, including moments, generating function and order statistics. The new distribution can model data with increasing or decreasing failure rate. The shape of the hazard rate function is controlled by one of the added parameters in an uncomplicated manner. An application to a real dataset illustrates the usefulness of the new distribution.

Suggested Citation

  • Luis Gustavo Bastos Pinho & Gauss Moutinho Cordeiro & Juvêncio Santos Nobre, 2015. "The Harris Extended Exponential Distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(16), pages 3486-3502, August.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:16:p:3486-3502
    DOI: 10.1080/03610926.2013.851221
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    Cited by:

    1. Maha A. D. Aldahlan & Ahmed Z. Afify, 2020. "The Odd Exponentiated Half-Logistic Exponential Distribution: Estimation Methods and Application to Engineering Data," Mathematics, MDPI, vol. 8(10), pages 1-26, October.
    2. Ahmed Z. Afify & Ahmed M. Gemeay & Noor Akma Ibrahim, 2020. "The Heavy-Tailed Exponential Distribution: Risk Measures, Estimation, and Application to Actuarial Data," Mathematics, MDPI, vol. 8(8), pages 1-28, August.
    3. Ahmed Z. Afify & Osama Abdo Mohamed, 2020. "A New Three-Parameter Exponential Distribution with Variable Shapes for the Hazard Rate: Estimation and Applications," Mathematics, MDPI, vol. 8(1), pages 1-17, January.
    4. Jose K. K. & Tomy Lishamol & Thomas Sophia P., 2018. "On a Generalization of the Weibull Distribution and Its Application in Quality Control," Stochastics and Quality Control, De Gruyter, vol. 33(2), pages 113-124, December.
    5. Mashail M. AL Sobhi, 2020. "The Inverse-Power Logistic-Exponential Distribution: Properties, Estimation Methods, and Application to Insurance Data," Mathematics, MDPI, vol. 8(11), pages 1-15, November.
    6. Rasool Roozegar & Saralees Nadarajah & Eisa Mahmoudi, 2022. "The Power Series Exponential Power Series Distributions with Applications to Failure Data Sets," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(1), pages 44-78, May.

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