Statistical Properties and Estimation of Power-Transmuted Inverse Rayleigh Distribution
Statistical Properties and Estimation of Power-Transmuted Inverse Rayleigh Distribution
Author(s): Amal S. Hassan, Salwa M. Assar, Ahmed M. AbdelghaffarSubject(s): Business Economy / Management
Published by: Główny Urząd Statystyczny
Keywords: transmuted inverse Rayleigh; mean residual life function; maximum likelihood; percentiles
Summary/Abstract: 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.
Journal: Statistics in Transition. New Series
- Issue Year: 21/2020
- Issue No: 3
- Page Range: 93-107
- Page Count: 15
- Language: English
