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100 1 $aMolchanov, Ilya S.,$d1962-
245 10 $aTheory of random sets /$cIlya Molchanov.
260 $aLondon :$bSpringer,$c©2005.
300 $a1 online resource (xvi, 488 pages) :$billustrations
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
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490 1 $aProbability and its applications
504 $aIncludes bibliographical references (pages 435-461)-and indexes.
520 1 $a"Stochastic geometry is a relatively new branch of mathematics. Although its predecessors such as geometric probability date back to the 18th century, the formal concept of a random set was developed in the beginning of the 1970s. Theory of Random Sets presents a state-of-the-art treatment of the modern theory, but it does not neglect to recall and build on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference of the 1990s. The book is entirely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight." "The book will be an invaluable reference for probabilists, mathematicians in convex and integral geometry, set-valued analysis, capacity and potential theory, mathematical statisticians in spatial statistics and image analysis, specialists in mathematical economics, and electronic and electrical engineers interested in image analysis."--Jacket.
505 0 $aRandom Closed Sets and Capacity Functionals; Expectations of Random Sets; Minkowski Addition; Unions of Random Sets; Random Sets and Random Functions.
546 $aEnglish.
650 0 $aRandom sets.
650 6 $aEnsembles aléatoires.
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650 07 $aRandom sets.$2cct
650 7 $aRandom sets.$2fast$0(OCoLC)fst01089811
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