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On Characterizing the Exponential q-Distribution

  • Boutouria Imen
  • Bouzida Imed
  • Masmoudi Afif
Article
  • 27 Downloads

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.

Keywords

q-Calculus q-Gamma function k-Gamma q-distribution Exponential q-distribution 

Mathematics Subject Classification

44A20 33E20 33E50 

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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2018

Authors and Affiliations

  1. 1.Laboratory of Probability and StatisticsSfax UniversitySfaxTunisia

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