Description: Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas. Olav Kallenberg received his Ph.D. in 1972 from Gothenburg University. After holding various temporary research positions in Sweden and abroad, he emigrated in 1986 to the US, where he became a professor of mathematics at Auburn University. In 1977 he became the second recipient ever of the prestigious Rollo Davidson Prize, in 1989 he was elected a Fellow of the IMS, and in 1991-1994 he served as the editor of Probability Theory and Related Fields. Kallenberg is the author of the previous books "Foundations of Modern Probability" and "Probabilistic Symmetries and Invariance Principles," along with numerous research papers in all areas of probability.
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EAN: 9783319823928
UPC: 9783319823928
ISBN: 9783319823928
MPN: N/A
Item Length: 23.4 cm
Number of Pages: 680 Pages
Publication Name: Random Measures, Theory and Applications
Language: English
Publisher: Springer International Publishing Ag
Item Height: 235 mm
Subject: Mathematics
Publication Year: 2018
Type: Textbook
Item Weight: 1068 g
Author: Olav Kallenberg
Item Width: 155 mm
Format: Paperback