Exponential Transformed Inverse Rayleigh Distribution: Statistical Properties and Different Methods of Estimation

Austrian Journal of Statistics

article

Proloy Banerjee¹  Shreya Bhunia² 

[1] Aliah University;Department of Mathematics and Statistics, Aliah University

关键词: lifetime distribution;    probability distribution;    hazard rate function;    maximum likelihood estimation;    maximum product spacing method;    simulation;   

DOI  :  10.17713/ajs.v51i4.1338

学科分类：医学（综合）

来源: Austrian Statistical Society

【 摘 要 】

In this article a generalization of the inverse Rayleigh distribution has been addressed by using DUS transformation, named as Exponential Transformed Inverse Rayleigh (ETIR) distribution. Some of the statistical properties of this newly proposed distribution like mode, quantiles, moment, moment generating function, survival and hazard rate function have been studied comprehensively. To estimate the parameter of this distribution, four different estimation procedures, such as maximum likelihood estimation (MLE), maximum product spacing method (MPS), least square method (LSE) and weighted least square method (WLSE) are briefly discussed. Performance of these estimates are compared using extensive simulations. As an application point of view the model superiority is verified through two real datasets.

【 授权许可】

CC BY