A Versatile Probabilistic Model based on Yun-G Family of Distributions and its Applications in Engineering Sector

Yun-G family of distributions and its application

Authors

  • Akhila P Govt. Arts and Science College, Kozhikode, India.
  • M Girish Babu
  • Hassan S Bakouch Qassim University, Buraydah, Saudi Arabia, Tanta University, Tanta 31111, Egypt.

Keywords:

Estimation, Frechet distribution, Hazard rate function, Simulation, Statistical model, Yun transform

Abstract

The present paper discusses a versatile three -parameter distribution from the Yun-G family. The important statistical properties like moments, stochastic ordering, and entropy are studied in this paper. Two characterizations of the distribution are obtained using the hazard rate function and truncated moments. The statistical inference of the distribution is studied by executing five different methods of parameter estimation, such as maximum likelihood estimation, ordinary least square method, weighted least square method, Cramer-von Mises method, and Anderson–Darling method. To study the fitting and applicability of the proposed distribution, two real life data sets from the engineering sector were analyzed and the proposed distribution is found to be more appropriate than the other competitive distributions. A comprehensive simulation study is also conducted and it showed the accuracy and consistency of the estimation techniques.

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Published

2023-12-01

How to Cite

1.
P A, Babu MG, Bakouch HS. A Versatile Probabilistic Model based on Yun-G Family of Distributions and its Applications in Engineering Sector: Yun-G family of distributions and its application. JKSA [Internet]. 2023 Dec. 1 [cited 2024 May 2];34(1):52-83. Available from: https://ojs.ksa.org.in/index.php/JKSA/article/view/51

Issue

Vol. 34 No. 1 (2023)

Section

Articles