Matrix-Exponential Distributions in Applied Probability Page 1 Probability Theory and
Stochastic Modelling 81 Mogens Bladt Bo Friis Nielsen Matrix-Exponential Distributions in …

In this paper, we present a review of results for discrete-time risk models, including the
compound binomial risk model and some of its extensions. While most theoretical risk …

The representation of general distributions or measured data by phase-type distributions is
an important and nontrivial task in analytical modeling. Although a large number of different …

Asynchronous stochastic systems are abundant in the real world. Examples include queuing
systems, telephone exchanges, and computer networks. Yet, little attention has been given …

Information freshness in IoT-based status update systems has recently been studied through
the Age of Information (AoI) and Peak AoI (PAoI) performance metrics. In this article, we …

The growth and evolution of the World Wide Web (WWW) has been rapid over the last ten
years and this has been caused mainly by factors such as the social Web and mobile …

PhFit, a new Phase-type fitting tool is presented in this paper. The presented tool is novel
from several aspects. It allows for approximating distributions or set of samples not only by …

We consider a two-echelon supply chain: a single retailer holds a finished goods inventory
to meet an iid customer demand, and a single manufacturer produces the retailer's …

Collective I/O, such as that provided in MPI-IO, enables process collaboration among a
group of processes for greater I/O parallelism. Its implementation involves file domain …

Many insurance loss data are known to be heavy-tailed. In this article we study the class of
Log phase-type (LogPH) distributions as a parametric alternative in fitting heavy tailed data …