A Generalization of Size-Biased Poisson-Sujatha Distribution and its Applications

Rama Shanker, Kamlesh Kumar Shukla, Manoj Tiwari*, Tekie Asehun Leonida

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

In this paper, a generalization of size-biased Poisson-Sujatha distribution (AGSBPSD) which includes both the size-biased Poisson-Lindley distribution (SBPLD) and the size-biased Poisson-Sujatha distribution (SBPSD) as particular cases has been proposed and studied. Its moments based measures including coefficients of variation, skewness, kurtosis, and index of dispersion have been derived and their shapes have been discussed with varying values of the parameters. The estimation of its parameters has been discussed using maximum likelihood estimation. Some applications of the proposed distribution have been explained using two count datasets.
Original languageEnglish
Pages (from-to)6811-6828
Number of pages18
JournalJournal of Mathematics and Computer Science
Volume11
Issue number6
DOIs
Publication statusPublished - 19 Aug 2021

Keywords

  • Size-biased distribution
  • Size-biased Poisson-Lindley distribution
  • Size-biased Poisson-Sujatha distribution
  • Compounding
  • Skewness
  • Kurtosis
  • Maximum likelihood estimation
  • Applications

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