An Introduction to the Theory of Point Processes, Volume 1
| Author | : | |
| Rating | : | 4.23 (878 Votes) |
| Asin | : | 0387955410 |
| Format Type | : | paperback |
| Number of Pages | : | 471 Pages |
| Publish Date | : | 2015-10-31 |
| Language | : | English |
DESCRIPTION:
Comprehensive book - not an introduction allensharp Good book, which provides a comprehensive account of point processes. Nice that it avoids too much measure theory, making it more accessible. Well written.
There are abundant examples whose purpose is both didactic and to illustrate further applications of the ideas and models that are the main substance of the text.. Point processes and random measures find wide applicability in telecommunications, earthquakes, image analysis, spatial point patterns, and stereology, to name but a few areas. The authors have made a major reshaping of their work in their first edition of 1988 and now present their Introduction to the Theory of Point Processes in two volumes with sub-titles Elementary Theory and Models and General Theory and Structure.Volume One contains the introductory chapters from the first edition, together with an informal treatment of some of the later material intended to make it more accessible to readers primarily interested in models and applications. The main new material in this volume relates to marked point processes and to processes evolving in time, where the conditional intensity methodology provides a basis for model building, inference, and prediction
… suitable as a textbook with many exercises for beginners as well as a source for scientists interested in high level applications of point processes." (Uwe Küchler, Zentralblatt MATH, Vol. From the reviews of the second edition:"This is an important treatise on the mathematical theory relevant to a wide variety of random processes…The reader will find excellent treatments of important advanced topics such as Cox, renewal, Wold, marked, cluster, and other specialized processes, plus concise but useful appendices on topology, measure theory, metric spaces, martingales, and the like." Technometrics, May 2004"This revision splits the lengthy first version into two volumes now subtitled Volume I: Elementary Theory and Methods and Volume II: Models and General Theory and Structurethis first volume is well worth its price." Jour