A Continuous Analog of the Generalized Hypergeometric Distribution Generated by Dediscretization Method

Authors

  • Davood Farbod Department of Mathematics, Quchan University of Technology, Quchan, Iran
  • Anis Iranmanesh Department of Mathematics and Statistics, Islamic Azad University, Mashhad Branch, Mashhad, Iran.
  • Maryam Basirat Department of Mathematics and Statistics, Islamic Azad University, Mashhad Branch, Mashhad, Iran.

Keywords:

Continuous analog of the generalized hypergeometric distribution, Monte Carlo method, Dediscretization

Abstract

In this paper, we shall attempt to introduce a new continuous analog of the regularly varying generalized hypergeometric distribution by the dediscretization method. The density, cumulative distribution, survival and hazard rate functions are obtained for the model. The density, cumulative distribution and hazard rate functions are illustrated by some figures. With the help of Monte Carlo method, simulation studies are done to obtain biases and mean square errors of the maximum likelihood estimations for the model’s unknown parameters. We see that our simulation method has satisfactory results.

Author Biographies

Davood Farbod, Department of Mathematics, Quchan University of Technology, Quchan, Iran

Assistant Professor of Mathematical Statistics

Anis Iranmanesh, Department of Mathematics and Statistics, Islamic Azad University, Mashhad Branch, Mashhad, Iran.

Assistant Professor of Statistics

Maryam Basirat, Department of Mathematics and Statistics, Islamic Azad University, Mashhad Branch, Mashhad, Iran.

Assistant Professor of Statistics

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Published

2022-02-18

Issue

Vol. 16

Section

Vol. 16, No. 10, (2022)

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