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 …

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 …

The existence of items not susceptible to the event of interest is of both theoretical and
practical importance. Although researchers may provide, for example, biological, medical, or …

Estimating model parameters of a general family of cure models is always a challenging task
mainly due to flatness and multimodality of the likelihood function. In this work, we propose a …

In this paper, we propose a generalization of the power series cure rate model for the
number of competing causes related to the occurrence of the event of interest. The model …

Frailty models are generally used to model heterogeneity between the individuals. The
distribution of the frailty variable is often assumed to be continuous. However, there are …

Nonlinear effects between explanatory and response variables are increasingly present in
new surveys. In this paper, we propose a flexible four-parameter semi-parametric cure rate …

We propose a new survival model for lifetime data in the presence of surviving fraction and
obtain some of its properties. Its genesis is based on extensions of the promotion time cure …

In survival analysis, the presence of elements not susceptible to the event of interest is very
common. These elements lead to what is called a fraction cure, cure rate, or even long-term …

Abstract The Birnbaum-Saunders distribution was derived in 1969 as a lifetime model for a
specimen subjected to cyclic patterns of stresses and strains, and the ultimate failure of the …