Clustered bivariate survival data arise in various fields, such as biology and medicine, when
individuals in a dataset are clustered and exhibit two survival outcomes. Recently, the joint …

The failure processes of heterogeneous repairable systems with minimal repair assumption
can be modelled by nonhomogeneous Poisson processes. One approach to describe an …

We present a novel frailty model for modeling clustered survival data. In particular, we
consider the Birnbaum–Saunders (BS) distribution for the frailty terms with a new directly …

Copulas and frailty models have been two major tools for modeling dependence in
multivariate failure time distributions. The objective of this paper is to investigate multivariate …

Bivariate survival data are found in several studies, in particular, studies where there are two
observed lifetimes associated with the same individual, and in some cases, there exists a …

The primary goal of this paper is to introduce a novel frailty model based on the weighted
Lindley (WL) distribution for modeling clustered survival data. We study the statistical …

This thesis develops models for system reliability prediction considering unobserved
heterogeneity and spatial dependence. Three problems are considered in this thesis. The …

抄録 A frailty model is a random effects model for event time variables, where the random
effect acts on hazards. There are two main purposes for considering frailty models. The first …

コピュラモデルとフレイルティ (混合効果) モデルは, 多変量故障時間分布における相関構造を
モデリングするための一般的なモデル族である. 本稿は, コピュラモデルとフレイルティモデルを含む …