It is often possible to model the dynamics of biological systems as a series of discrete
transitions between a finite set of observable states (or compartments). When the residence …

Detecting and measuring resource queues is central to business process optimization.
Queue mining techniques allow for the identification of bottlenecks and other process …

We first review some main results for phase-type distributions, including a discussion of
Coxian distributions and their canonical representations. We then consider the extension of …

We present an extension of the phase-type methodology for modeling of lifetime
distributions to include the case of competing risks. This is done by considering finite state …

Phase-type distributions are a general class of models that are traditionally used in actuarial
sciences and queuing theory, and more recently in population genetics. A phase-type …

After a brief historical survey of parametric survival models, from actuarial, biomedical,
demographical and engineering sources, this paper discusses the persistent reasons why …

This thesis studies the estimability and the estimation methods for two models based on
Markov processes: the phase-type aging model (PTAM), which models the human aging …

We extend the phase-type methodology for modeling of lifetime distributions to the case of
competing risks. This is done by considering finite state Markov chains in continuous time …

It is often possible to model the dynamics of biological systems as a series of discrete
transitions between a finite set of observable states (or compartments). When the residence …

Enabling more than one function in an entity provides a new cost-effective way to develop a
highly reliable system. In this dissertation, we study the reliability of systems containing multi …