The length-biased power hazard rate distribution: Some properties and applications-Reference-Cited by-同舟云学术

The length-biased power hazard rate distribution: Some properties and applications

Published:2022-06-01 Issue:2 Volume:23 Page:1-16
ISSN:2450-0291
Container-title:Statistics in Transition New Series
language:en
Short-container-title:

Author:

Mustafa Abdelfattah¹²^ORCID,Khan M. I.²^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science , Mansoura University , Mansoura , Egypt .

2. Department of Mathematics, Faculty of Science , Islamic University of Madinah , KSA .

Abstract

Abstract In this article, the length-biased power hazard rate distribution has introduced and investigated several statistical properties. This distribution reports an extension of several probability distributions, namely: exponential, Rayleigh, Weibull, and linear hazard rate. The procedure of maximum likelihood estimation is taken for parameters. Finally, the applicability of the model is explored by three real data sets. To examine, the performance of the technique, a simulation study is extracted.

Publisher

Polskie Towarzystwo Statystyczne

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Link

https://www.sciendo.com/pdf/10.2478/stattrans-2022-0013

Reference28 articles.

1. Ajami, M., Jahanshahi S. M. A., (2017). Parameter estimation in weighted Rayleigh distribution. Journal of Modern Applied Statistical Methods, 16(2), pp. 256–276.10.22237/jmasm/1509495240

2. Al-Khadim, A. K., Hussein A. N., (2014). New proposed length-biased weighted Exponential and Rayleigh distribution with application. Mathematical Theory and Modeling, 4, pp. 2224–5804.

3. Balakrishnan, N., Victor, L., Antonio, S., (2010). A mixture model based on Birnhaum-Saunders Distributions, A study conducted by Authors regarding the Scores of the GRASP (General Rating of Affective Symptoms for Preschoolers), in a city located at South Part of the Chile.

4. Birnbaum, Z. W., Saunders, S. C., (1969). Estimation for a family of life distribution with applications to fatigue. Journal of Applied Probability, 6(2), pp. 328–347.10.2307/3212004

5. Cox, D. R., (1962). Renewal Theory. New York, NY: Barnes & Noble.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Odd Ramos-Louzada Generator of distributions with applications to failure and waiting times;Scientific African;2023-11