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The Exponentiated Type Distributions

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Abstract

Gupta et al. [Commun. Stat., Theory Methods 27, 887–904, 1998] introduced the exponentiated exponential distribution as a generalization of the standard exponential distribution. In this paper, we introduce four more exponentiated type distributions that generalize the standard gamma, standard Weibull, standard Gumbel and the standard Fréchet distributions in the same way the exponentiated exponential distribution generalizes the standard exponential distribution. A treatment of the mathematical properties is provided for each distribution.

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Authors and Affiliations

  1. School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK

    Saralees Nadarajah

  2. Department of Statistics, University of Nebraska, Lincoln, NE, 68583, USA

    Samuel Kotz

Authors
  1. Saralees Nadarajah
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  2. Samuel Kotz
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Correspondence to Saralees Nadarajah.

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Nadarajah, S., Kotz, S. The Exponentiated Type Distributions. Acta Appl Math 92, 97–111 (2006). https://doi.org/10.1007/s10440-006-9055-0

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  • DOI: https://doi.org/10.1007/s10440-006-9055-0

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