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On bivariate alpha logarithmic series distribution and its properties

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  • C. Satheesh Kumar
  • A. Riyaz

Abstract

Here we propose a bivariate version of the alpha logarithmic series distribution (ALSD) of Kumar and Riyaz (South African Statist. J., 2014) and shown that its marginals are also ALSD. We study some of its important properties by deriving expressions for its probability mass function, factorial moments, conditional probability generating function, covariance etc. The parameters of the model are estimated by the method of maximum likelihood and the distribution has been fitted to certain real life data sets.

Suggested Citation

  • C. Satheesh Kumar & A. Riyaz, 2023. "On bivariate alpha logarithmic series distribution and its properties," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(24), pages 8875-8883, December.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:24:p:8875-8883
    DOI: 10.1080/03610926.2022.2081708
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