Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/236796 
Year of Publication: 
2020
Citation: 
[Journal:] Statistics in Transition New Series [ISSN:] 2450-0291 [Volume:] 21 [Issue:] 3 [Publisher:] Exeley [Place:] New York [Year:] 2020 [Pages:] 93-107
Publisher: 
Exeley, New York
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.
Subjects: 
transmuted inverse Rayleigh
mean residual life function
maximum likelihood
percentiles
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-nc-nd Logo
Document Type: 
Article

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