Compounding of distributions: a survey and new generalized classes
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 …
many other practical problems in statistics. It simply started with defining different …
Birnbaum‐Saunders distribution: A review of models, analysis, and applications
Birnbaum and Saunders introduced a two‐parameter lifetime distribution to model the
fatigue life of a metal, subject to cyclic stress. Since then, extensive work has been done on …
fatigue life of a metal, subject to cyclic stress. Since then, extensive work has been done on …
The compound class of extended Weibull power series distributions
We introduce a general method for obtaining more flexible new distributions by
compounding the extended Weibull and power series distributions. The compounding …
compounding the extended Weibull and power series distributions. The compounding …
[HTML][HTML] Mixture and non-mixture cure fraction models based on the generalized modified Weibull distribution with an application to gastric cancer data
The cure fraction models are usually used to model lifetime time data with long-term
survivors. In the present article, we introduce a Bayesian analysis of the four-parameter …
survivors. In the present article, we introduce a Bayesian analysis of the four-parameter …
[LIVRE][B] Recent advances in lifetime and reliability models
Introduction: Mathematicians and statisticians have made significant academic progress on
the subject of distribution theory in the last two decades, and this area of study is becoming …
the subject of distribution theory in the last two decades, and this area of study is becoming …
Shape and change point analyses of the Birnbaum–Saunders-t hazard rate and associated estimation
The hazard rate is a statistical indicator commonly used in lifetime analysis. The Birnbaum–
Saunders (BS) model is a life distribution originated from a problem pertaining to material …
Saunders (BS) model is a life distribution originated from a problem pertaining to material …
A new cure rate model with flexible competing causes with applications to melanoma and transplantation data
In this article, we introduce a long‐term survival model in which the number of competing
causes of the event of interest follows the zero‐modified geometric (ZMG) distribution. Such …
causes of the event of interest follows the zero‐modified geometric (ZMG) distribution. Such …
A new class of fatigue life distributions
In this paper, we introduce the Birnbaum–Saunders () power series class of distributions
which is obtained by compounding and power series distributions. The new class of …
which is obtained by compounding and power series distributions. The new class of …
A model with long-term survivors: negative binomial Birnbaum-Saunders
We propose a cure rate survival model by assuming that the number of competing causes of
the event of interest follows the negative binomial distribution and the time to the event of …
the event of interest follows the negative binomial distribution and the time to the event of …
Inverse Weibull power series distributions: properties and applications
S Shafiei, S Darijani, H Saboori - Journal of statistical computation …, 2016 - Taylor & Francis
Inverse Weibull (IW) distribution is one of the widely used probability distributions for
nonnegative data modelling, specifically, for describing degradation phenomena of …
nonnegative data modelling, specifically, for describing degradation phenomena of …