Parameter induction in continuous univariate distributions: Well-established G families

MH Tahir, S Nadarajah - Anais da Academia Brasileira de Ciências, 2015 - SciELO Brasil
The art of parameter (s) induction to the baseline distribution has received a great deal of
attention in recent years. The induction of one or more additional shape parameter (s) to the …

Exponentiated distributions

EK Al-Hussaini, M Ahsanullah - Atlantis Studies in Probability and …, 2015 - Springer
Motivated by the fact that adding one or more parameters to a distribution function makes it
richer and more flexible to analyzing data, this book is an attempt to collect results, using …

Parameter estimation and prediction of order statistics for the Burr Type XII distribution with Type II censoring

H Panahi, A Sayyareh - Journal of Applied statistics, 2014 - Taylor & Francis
This article deals with the statistical inference and prediction on Burr Type XII parameters
based on Type II censored sample. It is observed that the maximum likelihood estimators …

A new extension of the Burr XII distribution generated by odd log-logistic random variables

MCT Santos, RR Pescim - Communications in Statistics-Theory …, 2024 - Taylor & Francis
Irving W. Burr pioneered the introduction of the Burr XII model which is commonly used in
reliability and medical studies. Based on this distribution, we propose a new model called …

Bayesian estimation of stress strength reliability from inverse Chen distribution with application on failure time data

V Agiwal - Annals of Data Science, 2023 - Springer
In this article, we develop Bayesian estimation procedure for estimating the stress strength
reliability R= P [X> Y] when X (strength) and Y (stress) are the inverse Chen random …

The gamma Burr XII distribution: Theory and application

RR Guerra, FA Peña-Ramírez… - Journal of Data Science, 2017 - airitilibrary.com
We introduce a four-parameter distribution, called the Zografos-Balakrishnan gamma Burr
XII distribution. Our purpose is to provide a Burr XII generalization that may be useful to still …

[PDF][PDF] Bayesian analysis of Burr type X distribution under complete and censored samples

N Feroze, M Aslam - International Journal of Pure and Applied Sciences …, 2012 - Citeseer
The Bayesian analysis of Burr type X distribution has been considered in this research. The
uniform and Jeffreys priors have been assumed for posterior analysis. The estimation has …

[HTML][HTML] Gdistns: R package for maximum goodness-of-fit estimates of the generalized G distributions

M Hussein, A Al Mutairi, MSA Mustafa, H Elsayed - SoftwareX, 2024 - Elsevier
The generalized G distributions (GGdistns) package is a new R package that employs the
power of the maximum goodness-of-fit estimation technique in estimating the parameters of …

Estimation of the density and cumulative distribution functions of the exponentiated Burr XII distribution

AS Hassan, SM Assar, KA Ali, HF Nagy - Statistics in Transition new …, 2021 - ceeol.com
The exponentiated Burr Type XII (EBXII) distribution has wide applications in reliability and
economic studies. In this article, the estimation of the probability density function and the …

Estimating the reliability function for a family of exponentiated distributions

A Chaturvedi, A Pathak - Journal of Probability and Statistics, 2014 - Wiley Online Library
A family of exponentiated distributions is proposed. The problems of estimating the reliability
function are considered. Uniformly minimum variance unbiased estimators and maximum …