Statistical Analysis of Stochastic Processes in Time

ISBN-13: 9780521837415 / Angielski / Twarda / 2004 / 354 str.

J. K. Lindsey; James K. Lindsey; R. Gill

Opis

This introduction to ways of modelling a wide variety of phenomena that occur over time is accessible to anyone with a basic knowledge of statistical ideas. J.K. Lindsey concentrates on tractable models involving simple processes for which explicit probability models, hence likelihood functions, can be specified. (These models are the most useful in statistical applications modelling empirical data.) Examples are drawn from physical, biological and social sciences, to show how the book's underlying ideas can be applied, and data sets and R code are supplied for them. Author resource page: http: //popgen.unimaas.nl/ jlindsey/books.html

Recenzje

'… the book fills a gap between the more fundamental, topical volumes around, and more popular texts on these matters. it is very well readable, and it provides both an excellent introduction and a good overview over much of stochastic methods applicable in longitudinal data.' Environmental and Ecological Statistics

Spis treści

Preface; Part I. Basic Principles: 1. What is a stochastic process?; 2. Normal theory models and extensions; Part II. Categorical State Space: 3. Survival processes; 4. Recurrent events; 5. Discrete-time Markov chains; 6. Event histories; 7. Dynamics models; 8. More complex dependencies; Part III. Continuous State Space: 9. Time series; 10. Growth curves; 11. Dynamic models; 12. Repeated measurements; Bibliography; Author index; Subject index.