Compounding of distributions: a survey and new generalized classes

MH Tahir, GM Cordeiro - Journal of Statistical Distributions and …, 2016 - Springer
Generalizing distributions is an old practice and has ever been considered as precious as
many other practical problems in statistics. It simply started with defining different …

An in-depth review of the Weibull model with a focus on various parameterizations

YM Gómez, DI Gallardo, C Marchant, L Sánchez… - Mathematics, 2023 - mdpi.com
The Weibull distribution is a versatile probability distribution widely applied in modeling the
failure times of objects or systems. Its behavior is shaped by two essential parameters: the …

The gamma-Weibull-G family of distributions with applications

B Oluyede, S Pu, B Makubate, Y Qiu - Austrian Journal of Statistics, 2018 - ajs.or.at
Weibull distribution and its extended families has been widely studied in lifetime
applications. Based on the Weibull-G family of distributions and the exponentiated Weibull …

The gamma-Topp-Leone-type II-exponentiated half logistic-G family of distributions with applications

B Oluyede, T Moakofi - Stats, 2023 - mdpi.com
The new Ristić and Balakhrisnan or Gamma-Topp-Leone-Type II-Exponentiated Half
Logistic-G (RB-TL-TII-EHL-G) family of distributions is introduced and investigated in this …

Closed-form estimators for an exponential family derived from likelihood equations

R Vila, E Nakano, H Saulo - arXiv preprint arXiv:2405.14509, 2024 - arxiv.org
In this paper, we derive closed-form estimators for the parameters of some probability
distributions belonging to the exponential family. A bootstrap bias-reduced version of these …

Novel Closed‐Form Point Estimators for a Weighted Exponential Family Derived From Likelihood Equations

R Vila, E Nakano, H Saulo - Stat, 2024 - Wiley Online Library
In this paper, we propose and investigate closed‐form point estimators for a weighted
exponential family. We also develop a bias‐reduced version of these proposed closed‐form …

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 …

The modified Burr III G family of distributions

S Arifa, MZ Yab, A Ali - Journal of Data Science, 2017 - airitilibrary.com
We introduce a new family of distributions based on a generalized Burr III generator called
Modified Burr III G family and study some of its mathematical properties. Its density function …

Some extended classes of distributions: Characterizations and properties

GG Hamedani, GM Cordeiro… - … of Statistics and …, 2017 - epublications.marquette.edu
Based on a simple relationship between two truncated moments and certain functions of the
th order statistic, we characterize some extended classes of distributions recently proposed …

Goodness‐of‐fit measures based on the Mellin transform for beta generalized lifetime data

JM Vasconcelos, RJ Cintra… - … Methods in the Applied …, 2021 - Wiley Online Library
In recent years various probability models have been proposed for describing lifetime data.
Increasing model flexibility is often sought as a means to better describe asymmetric and …