On The Applications of Type II Half Logistic Extended Exponential distribution to Modeling Failure data

Authors

  • O.E. Adeniji* Department of Statistics, University of Ibadan, Oyo State, Nigeria
  • , S.A. Phillips† Department of Statistics, Federal School of Statistics, Ibadan, Oyo State, Nigeria
  • B. Ajayi‡ Department of Mathematics and Statistics, Federal Polytechnic, Ado-Ekiti, Nigeria
  • d N.A. Adeleye§ Department of Statistics, Ogun State Institute of Technology, Igbesa, Ogun State, Nigeria

Keywords:

maximum likelihood estimation, incomplete moments, hazard rate, type ii half logistic extended exponential distribution

Abstract

This article introduces a three-parameter extension of the Exponentiated exponential distribution called Type II half logistic Extended Exponential distribution. The proposed model is quite flexible and adaptable to model any kind of life-time data. Its probability density function may sometimes be unimodal and its corresponding hazard rate may be of monotone or nonmonotone shape. Standard statistical properties such as it ordinary and incomplete moments, quantile function, moment generating function, reliability function, order statistics, and Renyi entropy are obtained. The maximum likelihood method is used to obtain the estimates of the model parameters. Two practical examples of failure data sets are presented to demonstrate the
flexibility of the developed model.

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Published

2023-10-31

How to Cite

Adeniji*, O. ., Phillips†, , S. ., Ajayi‡, B. ., & Adeleye§, d N. . (2023). On The Applications of Type II Half Logistic Extended Exponential distribution to Modeling Failure data. International Journal of Mathematical Analysis and Modelling, 6(2). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/103

Issue

Vol. 6 No. 2 (2023): Volume 6, Issue 2 (Oct. - Nov. 2023)

Section

Articles