The Dynamics of Discrete Populations and Series of Events

ISBN-13: 9780367378950 / Angielski / Miękka / 2019 / 223 str.

Keith Iain Hopcraft; Eric Jakeman; Kevin D. Ridley

Opis

Discrete phenomena are an important aspect of various complex systems, acting both as underlying driving mechanisms and as manifestations of diverse behaviors. However, the characterization of these discrete phenomena requires models that go beyond those featured in existing books. This text shows students how analytical tools are used to develop and solve discrete stochastic models. It also explains how to simulate the models computationally and generate data to compare with measurements. Each chapter includes problem sets and guidance to further reading.

Spis treści

Introduction. Statistical Preliminaries. Markovian Population Processes. The Birth–Death–Immigration Process. Population Processes Exhibiting Sub-Poisson Fluctuations and Odd–Even Effects. The Death–Multiple Immigration Process. Stable Processes and Series of Events. Coupled Processes. Doubly Stochastic Processes. Level Crossings of a Continuous Process. Simulation Techniques.

O autorze

Hopcraft, Keith Iain; Jakeman, Eric; Ridley, Kevin D.