A compound Poisson process whose randomized time is an independent Poisson process
is called a compound Poisson process with Poisson subordinator. We provide its probability …

We consider a random trial-based telegraph process, which describes a motion on the real
line with two constant velocities along opposite directions. At each epoch of the underlying …

In the recent times we hear increasingly often about cyber attacks on various commercial
and strategic sites that manage to escape any defense. In this article we model such attacks …

This article is a study of vector-valued renewal-reward processes on R d. The jumps of the
process are assumed to be independent and identically distributed nonnegative random …

This paper deals with the detection and prediction of losses due to cyber attacks waged on
vital networks. The accumulation of losses to a network during a series of attacks is modeled …

The nonhomogeneous Poisson process model with power law intensity, also known as the
Army Materiel Systems Analysis Activity (AMSAA) model, is commonly used to model the …

We study a class of monotone delayed marked point processes that model stochastic
networks (under attacks), status of queueing systems during vacation modes, responses to …

This work studies a class of continuous-time, multidimensional random walk processes with
mutually dependent random step sizes and their exits from hyperrectangles. Fluctuations of …

In recent times we hear increasingly often about cyber attacks on various commercial and
strategic sites that manage to escape any defense. In this article, we model such attacks on …

In this dissertation, we study marked random measures that model stochastic networks
(under attacks), status of queueing systems during vacation modes, responses to cancer …