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

Rasool Roozegar, Saralees Nadarajah () and Eisa Mahmoudi
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Rasool Roozegar: Yazd University
Saralees Nadarajah: University of Manchester
Eisa Mahmoudi: Yazd University

Sankhya B: The Indian Journal of Statistics, 2022, vol. 84, issue 1, No 2, 44-78

Abstract: 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.

Keywords: Maximum likelihood estimation; moments; parallel structure; series structure.; 62E05; 62E10 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13571-021-00253-2

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