Here is a work that adds much to the sum of our knowledge in a key area of science today. It
is concerned with the estimation of discrete-time semi-Markov and hidden semi-Markov …

We consider a discrete-time semi-Markov process, with a finite state space. Taking a
censored history, we obtain empirical estimators for the semi-Markov kernel, semi-Markov …

In 2006, Paul W. Holland retired from Educational Testing Service (ETS) after a career
spanning five decades. In 2008, ETS sponsored a conference, Looking Back, honoring …

We consider repairable Multi-state reliability systems with components, the lifetimes and the
repair times of which are-independent. The-th component can be either in the complete …

One of the most critical factors in using systems is their reliability. The reliability study aims to
help understand the probable nature of equipment failure during use and establish reliability …

The aim of this paper is to present a systematic modeling of reliability and related measures:
availability, maintainability, failure rate, rate of occurrence of failures, mean times, etc …

The problem of statistical inference for semi-Markov processes is of increasing interest in
recent literature. The aim of this article is to present an empirical estimator of the stationary …

In this paper, a new reliability measure, named sequential interval reliability, is introduced
for homogeneous semi-Markov repairable systems in discrete time. This measure is the …

In this paper, a deteriorating production system subject to random machine breakdowns,
repair and replacement activities, is investigated. The machine manufactures one type of …

Consider a process in which different events occur, with random inter-occurrence times. In
Markov renewal processes as well as in semi-Markov processes, the sequence of events is …