Reliability Modelling and Analysis in Discrete Time provides an overview of the probabilistic
and statistical aspects connected with discrete reliability systems. This engaging book …

In this note we show that pseudo-analysis tools can be effective in obtaining results in a
distorted probability framework. More precisely, we introduce the notion of pseudo …

This paper is concerned with Schur-constant survival models for discrete random variables.
Our main purpose is to prove that the associated partial sum process is a non-homogeneous …

The law of uniform seniority is an actuarial principle which justifies the replacement of an
annuity on joint lives of unequal ages by an annuity on a single life, often computed at a …

The purpose of this work is to construct a bridge between two classical topics in applied
probability: the finite-time ruin probability in insurance and the final outcome distribution in …

This paper introduces a class of Schur-constant survival models, of dimension n, for
arithmetic non-negative random variables. Such a model is defined through a univariate …

This paper deals with the Laplace transform of bivariate Schur-constant models. We show
that this transform generates a new family of copulas. Some connections with excursion …

Schur-constant models play a particular role when modelling time in fields such as actuarial
science, insurance, reliability and survival models. These models describe random lifetimes …

Bivariate Schur-constant distributions have an important role in Bayesian analysis of lifetime
data, as models possessing no-ageing property. In the present work, we obtain …

This paper relates to Schur-constant vectors in their usual continuous version. Our first goal
is to highlight the existing links with L 1 symmetric Dirichlet vectors and Archimedean …