The Most Comprehensive Book on the SubjectChronicles the Development of the Weibull
Distribution in Statistical Theory and Applied StatisticsExploring one of the most important …

The concept of frailty offers a convenient way to introduce unobserved heterogeneity and
associations into models for survival data. In its simplest form, frailty is an unobserved …

In recent years reliability has been formulated as the science of predicting, estimating or
optimizing the probability of survival, the mean life, or more generally the life distribution of …

In reality, failure data are often collected under diffract operational conditions (covariates),
leading to heterogeneity among the data. Heterogeneity can be classified as observed and …

Sliding wear is a key determinant of the performance of electrical sliding contacts used in
electrical machines. The behavior of the contact in sliding couple is controlled by the mutual …

We extend proportional hazards frailty models for lifetime data to allow a negative binomial,
Poisson, Geometric or other discrete distribution of the frailty variable. This might represent …

Component failures in water distribution systems are usually predicted by parametric models
where the model parameters are determined by projecting the past failure rates of the …

Introduction: The most important models used in analysis of SURVIVAL data is
PROPORTIONAL HAZARDS MODELS. Applying this model requires establishment of the …

In survival studies with families or geographical units it may be of interest testing whether
such groups are homogeneous for given explanatory variables. In this paper we consider …

Heterogeneity in lifetime data may be modelled by multiplying an individual's hazard by an
unobserved frailty. We test for the presence of frailty of this kind in univariate and bivariate …