Statistical Properties and Estimation of Inverted Topp-Leone Distribution

Authors

Amal S. Hassan, aculty of Graduate Studies for Statistical Research, Cairo University, EgyptFollow
Mohammed Elgarhy
Randa Ragab

Author Country (or Countries)

Egypt

Abstract

A new probability distribution, i.e. the inverted Topp-Leone distribution is proposed. Some of its statistical properties such as; quantile function, mode, moments, probability weighted moments, incomplete moments, stress-strength model, moments of residual life function, Rényi entropy, and stochastic ordering are provided. Maximum likelihood estimation method based on complete, Type I, and Type II censored samples is considered. Simulation issues are provided to assess the results of the study. Moreover, the results are applied to a real data set.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/090212

Recommended Citation

S. Hassan, Amal; Elgarhy, Mohammed; and Ragab, Randa (2020) "Statistical Properties and Estimation of Inverted Topp-Leone Distribution," Journal of Statistics Applications & Probability: Vol. 9: Iss. 2, Article 12.
DOI: http://dx.doi.org/10.18576/jsap/090212
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol9/iss2/12