Cubic Transmuted Rayleigh Distribution: Theory and Application

Austrian Journal of Statistics

article

Md. Mahabubur Rahman¹ 

[1] Islamic University

关键词: cubic transmutation;    maximum likelihood estimation;    order statistics;    Rayleighdistribution;    reliability analysis.;   

DOI  :  10.17713/ajs.v51i3.1280

学科分类：医学（综合）

来源: Austrian Statistical Society

【 摘 要 】

In this paper, the Rayleigh distribution is generalized using the cubic transmuted (CT) family studied by Rahman et al. (in EJPAM, 12(3), 1106-1121, 2019) to propose a cubic transmuted Rayleigh distribution. An overall description is presented here for the distributional properties, parameter estimation, inference procedure, reliability behavior, and distribution of different order statistics. A real-life data set is used to demonstrate the applicability of the proposed distribution for modeling data.

【 授权许可】

CC BY