Statistical Properties and Estimation of Power-Transmuted Inverse Rayleigh Distribution

• Authors: Amal S. Hassan , Salwa M. Assar , Ahmed M. Abdelghaffar

Abstracts

EN

A three-parameter continuous distribution is constructed, using a power transformation related to the transmuted inverse Rayleigh (TIR) distribution. A comprehensive account of the statistical properties is provided, including the following: the quantile function, moments, incomplete moments, mean residual life function and Rényi entropy. Three classical procedures for estimating population parameters are analysed. A simulation study is provided to compare the performance of different estimates. Finally, a real data application is used to illustrate the usefulness of the recommended distribution in modelling real data.

Keywords

EN

percentiles; percentiles; percentiles; percentiles

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2020
• Volume: 21
• Issue: 3
• Pages: 93-107

Contributors

author

Amal S. Hassan

• Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt

• https://orcid.org/0000000344428458

author

Salwa M. Assar

• Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt

• https://orcid.org/0000000174507486

author

Ahmed M. Abdelghaffar

• Central Bank of Egypt, Egypt

• https://orcid.org/000000027163927X

Identifiers

DOI

10.21307/stattrans-2020-046

Biblioteka Nauki

1058930