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The new family of Ristić-Balakhrishnan Marshall Olkin-G distributions with properties and applications

Author

Listed:
  • Peter O. Peter
  • Broderick Oluyede
  • Nkumbuludzi Ndwapi
  • Onkabetse Mabikwa
  • Huybrechts F. Bindele

Abstract

In this paper, we develop and study in detail a new family of distributions called Ristić-Balakhrishnan Marshall Olkin-G (RBMO-G) distribution. We obtain some mathematical and statistical properties of this distribution such as hazard and reverse hazard functions, quantile function, moments and incomplete moments, moment generating functions, Rényi entropy and order statistics. The model parameters are obtained through method of maximum likelihood. We finally illustrate the usefulness of this family of distributions via simulation experiments. Furthermore, we apply a special case of this family of distributions to some real data to assess and compare its performance with other non-nested models.

Suggested Citation

  • Peter O. Peter & Broderick Oluyede & Nkumbuludzi Ndwapi & Onkabetse Mabikwa & Huybrechts F. Bindele, 2022. "The new family of Ristić-Balakhrishnan Marshall Olkin-G distributions with properties and applications," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 22(3), pages 283-312.
    • Handle: RePEc:ids:ijmore:v:22:y:2022:i:3:p:283-312
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