Open AccessA Two Parameters Rani Distribution: Estimation and Tests for Right Censoring Data with an Application
Author(s) -
Amer Ibrahim Al-Omari,
Khaoula Aidi,
Nacira Seddik-Ameur
Publication year - 2021
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v17i4.3522
Subject(s) - mathematics , censoring (clinical trials) , log logistic distribution , statistics , goodness of fit , noncentral chi squared distribution , half normal distribution , survival function , function (biology) , distribution fitting , exponential distribution , asymptotic distribution , ratio distribution , survival analysis , estimator , evolutionary biology , biology
In this paper, we developed a new distribution, namely the two parameters Rani distribution (TPRD). Some statistical properties of the proposed distribution are derived including the moments, moment-generating function, reliability function, hazard function, reversed hazard function, odds function, the density function of order statistics, stochastically ordering, and the entropies. The maximum likelihood method is used for model parameters estimation. Following the same approach suggested by Bagdonavicius and Nikulin (2011), modified chi squared goodness-of-fit tests are constructed for right censored data and some tests for right data is considered. An application study is presented to illustrate the ability of the suggested model in fitting aluminum reduction cells sets and the strength data of glass of the aircraft window.