%0 Book %1 MR598033 %A Cox, David Roxbee %A Isham, Valerie %C London %D 1980 %I Chapman & Hall %K point_processes reference %P viii+188 %T Point processes %X This little book continues the sequence of useful introductory texts on point process themes initiated by the first author's monograph on renewal processes Renewal theory, Methuen, London, 1962; MR0153061 (27 #3030) and continued with his and P. A. W. Lewis' monograph The statistical analysis of series of events, Methuen, London, 1966; MR0199942 (33 #8082). Similar to its predecessors in its succinct but informal style, it differs from the first by its much wider scope, and from the second by its emphasis on the formulation of special models and the derivation of their basic properties. A brief introduction to the general theory is provided, but many important ideas and techniques are introduced and developed through the study of particular examples. In this way the reader is led quickly to the essential ideas in a wide range of topics, and given a useful perspective on their applications and directions of further development. There are six chapters: Introduction; Theoretical framework; Special models; Operations on point processes; Multivariate point processes; Spatial processes. All except the last are concerned with point processes evolving in time, with the emphasis on stationary processes. Each chapter is furnished with exercises giving additional results and examples, and with bibliographic notes giving references to selected papers and monographs relevant to the chapter concerned. The book will perhaps be most useful as an introduction to the mathematical treatment of point processes for students of mathematics and statistics at beginning graduate level or thereabout, and for research workers in the various applied fields where point processes are an important theoretical tool. It lacks a little in depth of treatment both of the mathematical theory and of particular applications, while the specialists may regret the omission of particular themes or examples. In the main, however, the book is a tribute to the skill and judgement of the authors in selecting material that outlines a wide range of ideas in a brief and accessible manner. %@ 0-412-21910-7

@book{MR598033, abstract = {This little book continues the sequence of useful introductory texts on point process themes initiated by the first author's monograph on renewal processes [Renewal theory, Methuen, London, 1962; MR0153061 (27 #3030)] and continued with his and P. A. W. Lewis' monograph [The statistical analysis of series of events, Methuen, London, 1966; MR0199942 (33 #8082)]. Similar to its predecessors in its succinct but informal style, it differs from the first by its much wider scope, and from the second by its emphasis on the formulation of special models and the derivation of their basic properties. A brief introduction to the general theory is provided, but many important ideas and techniques are introduced and developed through the study of particular examples. In this way the reader is led quickly to the essential ideas in a wide range of topics, and given a useful perspective on their applications and directions of further development. There are six chapters: Introduction; Theoretical framework; Special models; Operations on point processes; Multivariate point processes; Spatial processes. All except the last are concerned with point processes evolving in time, with the emphasis on stationary processes. Each chapter is furnished with exercises giving additional results and examples, and with bibliographic notes giving references to selected papers and monographs relevant to the chapter concerned. The book will perhaps be most useful as an introduction to the mathematical treatment of point processes for students of mathematics and statistics at beginning graduate level or thereabout, and for research workers in the various applied fields where point processes are an important theoretical tool. It lacks a little in depth of treatment both of the mathematical theory and of particular applications, while the specialists may regret the omission of particular themes or examples. In the main, however, the book is a tribute to the skill and judgement of the authors in selecting material that outlines a wide range of ideas in a brief and accessible manner. }, added-at = {2009-12-25T00:34:28.000+0100}, address = {London}, author = {Cox, David Roxbee and Isham, Valerie}, biburl = {https://www.bibsonomy.org/bibtex/2ab7629167e5b13f4e4e55a9920f6de15/peter.ralph}, interhash = {e3d9fa38bdb0d46ca97862e9b8fb8768}, intrahash = {ab7629167e5b13f4e4e55a9920f6de15}, isbn = {0-412-21910-7}, keywords = {point_processes reference}, mrclass = {60G55 (60K05)}, mrnumber = {MR598033 (82j:60091)}, mrreviewer = {D. Vere-Jones}, note = {Monographs on Applied Probability and Statistics}, pages = {viii+188}, publisher = {Chapman \& Hall}, timestamp = {2009-12-25T00:34:28.000+0100}, title = {Point processes}, year = 1980 }