Random Measures [Reprint 2021 ed.] 9783112525609, 9783112525593

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Random Measures

RANDOM MEASURES Olav Kallenberg Department of Mathematics Chalmers University of Technology and University of Göteborg

AKADEMIE-VERLAG

BERLIN

ànd

ACADEMIC PRESS • LONDON - ORLANDO - SAN DIEGO - NEW YORK AUSTIN - MONTREAL - SYDNEY - TOKYO - TORONTO

4th edition 1986 (revised printing of the 3rd edition 1983)

Erschienen im Akademie-Verlag Berlin, DDR-1086 Berlin, Leipziger Straße 3—4 © Akademie-Verlag Berlin 1983 Lizenznummer: 202 • 100/550/86 Bestellnummer: 7632064 (6414).- LSV 1075 ACADEMIC PRESS INC. (LONDON) LTD. 2 4 - 2 8 Oval Road London NW 1 7 DX United States Edition published bv ACADEMIC PRESS INC. Orlando, Florida 32 887 ISBN: 0- 12- 394960- 2 Printed in the German Democratic Republic

Preface

My aim in writing this book has been to give a systematic account of those parts of random measure theory which do not require any particular order or metric structure of the state space. The main applications are of course to random measures on Euclidean spaces, but since most proofs apply without changes to the case of arbitrary locally compact second countable Hausdorff spaces, I have chosen to work throughout within this more general framework. By a random measure on a topological space