A new class of distributions based on phase-type distributions is introduced in the current
paper to model lifetime data in the field of reliability analysis. This one is the natural …

A system with n components, one online and the rest in standby subject to repair is
considered. The source of failures of the online unit is different from the one of the standby …

The Markovian arrival process is a suitable model for the arrival of external failures, it has
the relevant property of dependence between the consecutive interarrival times. In the …

A shock and wear system standing a finite number of shocks and subject to two types of
repairs is considered. The failure of the system can be due to wear or to a fatal shock …

Motivated by a real failure dataset in a two-dimensional context, this paper presents an
extension of the Markov modulated Poisson process (MMPP) to two dimensions. The one …

We build a Coxian random variable model to describe characterizations of a bathtub-shaped
failure rate and present a perturbation to the Coxian random variable. In the perturbation, the …

This paper considers the non-stationary version of the Markovian arrival process to model
the failures of N electrical components that are considered to be identically distributed, but …

The Markovian arrival process (MAP) is a stochastic process that allows for modeling
dependent and non-exponentially distributed observations. Due to its versatility, it has been …

A system with n components, one online and the rest in standby subject to repair is
considered. The shocks causing the failure of the system follow a Markovian arrival process …

In this paper, the identifiability and the estimability of a particular phase-type ageing model
(PTAM) are investigated. We consider a PTAM that is shown to be identifiable, although it …