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On Characterizing the Exponential q-Distribution

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Abstract

In this paper, we attempted to characterize the exponential q-distribution through the q-memorylessness property using the q-addition operator and Jackson integral. Moreover, an extended version of k-gamma q-distribution is introduced and the q-moments of this family is computed. Finally, we suggested a new q-inversion method to simulate data from a q-distribution.

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Authors and Affiliations

  1. Laboratory of Probability and Statistics, Sfax University, B.P., 1171, Sfax, Tunisia

    Boutouria Imen, Bouzida Imed & Masmoudi Afif

Authors
  1. Boutouria Imen
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  2. Bouzida Imed
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  3. Masmoudi Afif
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Correspondence to Bouzida Imed.

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Communicated by Anton Abdulbasah Kamil.

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Imen, B., Imed, B. & Afif, M. On Characterizing the Exponential q-Distribution. Bull. Malays. Math. Sci. Soc. 42, 3303–3322 (2019). https://doi.org/10.1007/s40840-018-0670-5

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  • DOI: https://doi.org/10.1007/s40840-018-0670-5

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