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LEADER: 02725cam a22003254a 4500
001 013666101-7
005 20130501081310.0
008 020817s2002 ne b 001 0 eng
010 $a 2002033966
020 $a1402009186 (acid-free paper)
035 0 $aocm50495432
040 $aDLC$cDLC$dDLC
042 $apcc
050 00 $aQA273.67$b.L5 2002
082 00 $a519.2$221
100 1 $aLi, Shoumei.
245 10 $aLimit theorems and applications of set-valued and fuzzy set-valued random variables /$cby Shoumei Li, Yukio Ogura and Vladik Kreinovich.
260 $aDordrecht ;$aBoston :$bKluwer Academic Publishers,$cc2002.
300 $axii, 391 p. ;$c25 cm.
490 1 $aTheory and decision library. Series B, Mathematical and statistical methods ;$vv. 43
504 $aIncludes bibliographical references and index.
505 00 $tLimit Theorems of Set-Valued and Fuzzy Set-Valued Random Variables --$tThe Space of Set-Valued Random Variables --$tHyperspaces of a Banach Space --$tThe Hausdorff Metric in Hyperspaces and An Embedding Theorem --$tConvergences in Hyperspaces --$tSet-Valued Random Variables --$tThe Set of Integrable Selections --$tThe Spaces of Integrably Bounded Set-Valued Random Variables --$tThe Aumann Integral and the Conditional Expectation of a Set-Valued Random Variable --$tThe Aumann Integral and Its Properties --$tSufficient Conditions for the Aumann Integrals To Be Closed --$tConditional Expectation and Its Properties --$tFatou's Lemmas and Lebesgue's Dominated Convergence Theorems --$tRadon-Nikodym Theorems for Set-Valued Measures --$tSet-Valued Measures --$tRadon-Nikodym Theorems for Set-Valued Measures --$tStrong Laws of Large Numbers and Central Limit Theorems for Set-Valued Random Variables --$tLimit Theorems for Set-Valued Random Variables in the Hausdorff Metric --$tStrong Laws of Large Numbers in the Hausdorff Metric --$tCentral Limit Theorems --$tStrong Laws of Large Numbers for Set-Valued Random Variables in the Kuratowski-Mosco Sense --$tGaussian Set-Valued Random Variables --$tAppendix A of Subsection 3.1.2 --$tConvergence Theorems for Set-Valued Martingales --$tSet-Valued Martingales --$tRepresentation Theorems for Closed Convex Set-Valued Martingales --$tConvergence of Closed Convex Set-Valued Martingales in the Kuratowski-Mosco Sense --$tConvergence of Closed Convex Set-Valued Submartingales and Supermartingales in the Kuratowski-Mosco Sense.
650 0 $aLimit theorems (Probability theory)
650 0 $aRandom variables.
700 1 $aOgura, Yukio.
700 1 $aKreinovich, Vladik.
830 0 $aTheory and decision library.$nSeries B,$pMathematical and statistical methods ;$vv. 43.
899 $a415_565869
988 $a20130424
906 $0DLC