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The Power Series Exponential Power Series Distributions with Applications to Failure Data Sets

Author

Listed:
  • Rasool Roozegar

    (Yazd University)

  • Saralees Nadarajah

    (University of Manchester)

  • Eisa Mahmoudi

    (Yazd University)

Abstract

A new class of distributions motivated by systems having both series and parallel structures is introduced. Some mathematical properties of the new class (including the moment generating function, moments and order statistics) are derived. Estimation is addressed by the maximum likelihood method and the performance of the estimators assessed by a simulation study. An illustration using three failure data sets shows the usefulness of the new class.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sankhb:v:84:y:2022:i:1:d:10.1007_s13571-021-00253-2
    DOI: 10.1007/s13571-021-00253-2
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    References listed on IDEAS

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