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Point processes: a random Radon measure approach

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Bibliographic Details
Main Author:	Krickeberg, Klaus 1929- (Author)
Format:	Book
Language:	English
Published:	Nächst Neuendorf Walter Warmuth Verlag [2014]
Series:	Classical lectures
Subjects:	Punktprozess Zufälliges Maß Radon-Maß
Online Access:	Inhaltstext Inhaltsverzeichnis
Item Description:	Literaturangaben
Physical Description:	210 Seiten 21 cm, 243 g
ISBN:	9783944311012

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Record in the Search Index

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adam_text	1 SPATIAL PROCESSES. A SYNOPSIS 7 1.1 INTRODUCTION 7 1.2 TYPES OF SPATIAL PROCESSES 9 1.3 RANDOM MEASURES IN STATISTICAL MECHANICS 24 1.4 SCHOLION: A FIRST CONSTRUCTION OF RANDOM MEASURES . 30 I BASIC CONCEPTS OF RANDOM MEASURES 33 2 PRODUCTS OF IDENTICAL MEASURES 35 2.1 INTRODUCTION 35 2.2 CHARACTERIZATIONS OF MEASURES 38 3 RANDOM MEASURES AND THEIR MOMENT MEASURES 45 3.1 TOPOLOGICAL AND BORELIAN STRUCTURE 45 3.2 RANDOM MEASURES AND THEIR MOMENTS 48 3.3 FOURIER- AND LAPLACE TRANSFORMS 55 HTTP://D-NB.INFO/1051798574 4 CONTENTS II CONSTRUCTION OF RANDOM MEASURES THE METHOD OF THE CAMPBELL MEASURE 61 4 PARTICULAR RANDOM MEASURES 63 4.1 THE GENERAL FINITE POINT PROCESS 63 4.2 MIXING OF RANDOM MEASURES 67 4.3 SUPERPOSITION OF INDEPENDENT RANDOM MEASURES 71 4.4 THE GENERAL POISSON PROCESS 74 4.5 CLUSTERED RANDOM MEASURES. COX PROCESSES 79 5 CAMPBELL MEASURES AND PALM DISTRIBUTIONS 89 5.1 BASIC CONCEPTS 89 5.2 THE FINE STRUCTURE OF PALM LAWS 93 5.3 EXAMPLES 98 5.4 SCHOLION: ANOTHER CONSTRUCTION OF RANDOM MEASURES . . .103 5.5 SCHOLION: PERMANENTAL AND DETERMINANTAL PROCESSES . . .115 5.6 SCHOLION: TRANSFORMATIONS OF RANDOM MEASURES 125 5.7 SCHOLION: EXAMPLES OF INTENSITIES OF COX PROCESSES . . . .128 III STATIONARITY 131 6 STATIONARY RANDOM MEASURES 133 6.1 INTRODUCTION 133 6.2 A NICE VERSION OF PALM LAWS 138 6.3 SIMPLE PROCESSES IN K 143 6.4 REPRESENTING REDUCED MOMENT MEASURES 149 6.5 SCHOLION: A GENERAL ZERO-INFINITY LAW 153 6.6 SCHOLION: THE EXCLUSION PROCESS 155 7 ERGODIC THEOREMS FOR RANDOM MEASURES 159 7.1 THE PROBLEM 159 7.2 AN ERGODIC THEOREM FOR RANDOM MEASURES 161 5 7.3 IMPLICATIONS OF THE ERGODIC THEOREM 168 7.4 SCHOLION: FURTHER APPLICATIONS 174 IV ENTROPY 179 8 BASIC PROPERTIES 181 8.1 PRELIMINARIES 181 8.2 A CONTINUITY PROPERTY 184 9 ENTROPY OF POINT PROCESSES 189 9.1 PRELIMINARIES 189 9.2 CHARACTERIZATIONS OF ENTROPIES 191 BIBLIOGRAPHY 203 INDEX 208
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author	Krickeberg, Klaus 1929-
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spelling	Krickeberg, Klaus 1929- Verfasser (DE-588)117714534 aut Point processes a random Radon measure approach Klaus Krickeberg ; augmented with several Scholia by Hans Zessin Nächst Neuendorf Walter Warmuth Verlag [2014] © 2014 210 Seiten 21 cm, 243 g txt rdacontent n rdamedia nc rdacarrier Classical lectures Literaturangaben Punktprozess (DE-588)4138173-7 gnd rswk-swf Zufälliges Maß (DE-588)4068049-6 gnd rswk-swf Radon-Maß (DE-588)4242168-8 gnd rswk-swf Punktprozess (DE-588)4138173-7 s Radon-Maß (DE-588)4242168-8 s Zufälliges Maß (DE-588)4068049-6 s DE-604 Zessin, Hans (DE-588)1136330453 oth X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4681813&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027614897&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Krickeberg, Klaus 1929- Point processes a random Radon measure approach Punktprozess (DE-588)4138173-7 gnd Zufälliges Maß (DE-588)4068049-6 gnd Radon-Maß (DE-588)4242168-8 gnd
subject_GND	(DE-588)4138173-7 (DE-588)4068049-6 (DE-588)4242168-8
title	Point processes a random Radon measure approach
title_auth	Point processes a random Radon measure approach
title_exact_search	Point processes a random Radon measure approach
title_full	Point processes a random Radon measure approach Klaus Krickeberg ; augmented with several Scholia by Hans Zessin
title_fullStr	Point processes a random Radon measure approach Klaus Krickeberg ; augmented with several Scholia by Hans Zessin
title_full_unstemmed	Point processes a random Radon measure approach Klaus Krickeberg ; augmented with several Scholia by Hans Zessin
title_short	Point processes
title_sort	point processes a random radon measure approach
title_sub	a random Radon measure approach
topic	Punktprozess (DE-588)4138173-7 gnd Zufälliges Maß (DE-588)4068049-6 gnd Radon-Maß (DE-588)4242168-8 gnd
topic_facet	Punktprozess Zufälliges Maß Radon-Maß
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