The Dynamics of Discrete Populations and Series of Events
Auteurs : Hopcraft Keith Iain, Jakeman Eric, Ridley Kevin D.
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-varying populations and series of events, TheDynamics of Discrete Populations and Series of Events demonstrates how analytical tools are used to develop, simulate, and solve discrete stochastic models. It provides an understanding of the effect of the competing processes governing the changing number of individuals present in a population, and shows how relatively simple models can be used to generate a wide range of behaviours.
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.
Date de parution : 02-2014
15.6x23.4 cm
Date de parution : 09-2019
15.6x23.4 cm
Thèmes de The Dynamics of Discrete Populations and Series of Events :
Mots-clés :
Fano Factors; Cumulative Distribution Function; Negative Binomial Coefficient; Poisson Transform; Power Law Term; Geometrical Series; Power Law Tail; Gamma Process; Continuous Random Process; Negative Binomial Distribution; Ordinary Differential Equation; Laplace Transform; Gaussian Random Process; Multiple Immigration; Gaussian Random; Autocorrelation Function; Factorial Moment; Om En; Gaussian Process; Stochastic Perspective; Exponential Fourier Transform; Average Integrated Intensity; Double Laplace Transform; Negative Binomial; Photon Correlation Spectroscopy