ABSTRACT

Discrete phenomena are an important aspect of various complex systems, acting both as underlying driving mechanisms and as manifestations of diverse behaviours. However, the characterisation of these discrete phenomena requires models that go beyond those featured in existing books. Largely concerned with mathematical models used to describe time-v

chapter 1|10 pages

Introduction

chapter 2|20 pages

Statistical Preliminaries

chapter 3|20 pages

Markovian Population Processes

chapter 4|26 pages

The Birth–Death–Immigration Process

chapter 6|20 pages

The Death–Multiple Immigration Process

chapter 7|18 pages

Stable Processes and Series of Events

chapter 8|18 pages

Coupled Processes

chapter 9|16 pages

Doubly Stochastic Processes

chapter 10|18 pages

Level Crossings of a Continuous Process

chapter 11|14 pages

Simulation Techniques