Type II Half Logistic Rayleigh Distribution: Properties and Estimation Based on Censored Samples

Haq, Muhammad Ahsan Ul and Almarashi, Abdullah M. and Hassan, Amal S. and Elgarhy, M. (2018) Type II Half Logistic Rayleigh Distribution: Properties and Estimation Based on Censored Samples. Journal of Advances in Mathematics and Computer Science, 29 (1). pp. 1-19. ISSN 24569968

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Abstract

In this paper, we introduce a new model called the Type II half logistic Rayleigh (TIIHLR) with U-shaped, increasing and decreasing hazard rate function. Some structural properties of the current distribution are derived including; explicit expressions for moments, incomplete moments, order statistics and Rényi entropy. Maximum likelihood estimators of the model parameters, based on complete and censored samples, are obtained. A numerical study is demonstrated to illustrate the theoretical results. The superiority of the new model over some new existing distributions is illustrated through two real data sets. In both applications, the TIIHLR model produces better fits than; the transmuted Rayleigh; transmuted generalised Rayleigh; exponentiated transmuted generalised Rayleigh and transmuted exponentiated inverse Rayleigh distributions.

Item Type: Article
Subjects: Digital Open Archives > Mathematical Science
Depositing User: Unnamed user with email support@digiopenarchives.com
Date Deposited: 28 Apr 2023 05:54
Last Modified: 15 Oct 2024 10:28
URI: http://geographical.openuniversityarchive.com/id/eprint/1003

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