Estimation of type II truncated Fr'echet inverse exponential distribution under censored data

Volume 13, Issue 6, pp 354--363 http://dx.doi.org/10.22436/jnsa.013.06.05

Publication Date: April 08, 2020 Submission Date: November 24, 2019 Revision Date: February 06, 2020 Accteptance Date: February 12, 2020

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Authors

Maha A. Aldahlan - Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia.

Abstract

This paper proposes a new probability distribution called as type II truncated Fr'echet inverse exponential distribution. Fundamental statistical properties like moments, incomplete moments, and quantile function of the proposed model are studied. The estimation of the parameter of the new model is approached by maximum likelihood method based on complete and censored samples. Asymptotic confidence interval of model parameters is investigated. We assess the numerical results to study the theoretical results. Superiority of the type II truncated Fr\'echet inverse exponential model over some known distributions is showed through one real data set.

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Keywords

• Type II truncated Fr'echet
• inverse exponential model
• moments
• simulation

MSC

•  60E05
•  62E15
•  62F10

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