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LEADER: 05673cam 2200853 i 4500
001 ocm24953861
003 OCoLC
005 20200507024358.0
008 911113s1992 enk b 001 0 eng
010 $a 91043589
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035 $a(OCoLC)24953861$z(OCoLC)26309035$z(OCoLC)26363363
050 00 $aQA273.6$b.B377 1992
080 0 $a512.975
082 00 $a519.2/4$220
084 $a31.70$2bcl
084 $a31.73$2bcl
084 $a*60A05$2msc
084 $a60-02$2msc
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100 1 $aBarbour, A. D.
245 10 $aPoisson approximation /$cA.D. Barbour, Lars Holst, Svante Janson.
264 1 $aOxford [England] :$bClarendon Press ;$aNew York :$bOxford University Press,$c1992.
300 $ax, 277 pages ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aOxford studies in probability ;$v2
490 1 $aOxford science publications
504 $aIncludes bibliographical references (pages 264-272) and index.
505 00 $g1.$tIntroduction --$g2.$tUpper bounds --$g2.1.$tUpper bounds and monotonicity --$g2.2.$tExistence of monotone couplings --$tAssociated random variables --$tNegatively associated random variables --$tGaussian random variables --$g2.3.$tIndependent and dissociated summands --$g2.4.$tMiscellany --$g3.$tLower bounds --$g3.1.$tGeneral lower bounds --$g3.2.$tLower bounds under monotonicity --$g3.3.$tLower bounds for mixed Poisson approximation --$g3.4.$tIllustrative examples --$g4.$tRandom permutations --$g4.1.$tA general result --$g4.2.$tMatching problems --$g4.3.$tThe menage problem --$g4.4.$tHigher order arrays --$g5.$tRandom graphs --$g5.1.$tSubgraphs in [actual symbols not reproducible] --$g5.2.$tVertex degrees --$g5.3.$tColoured graphs and birthday problems --$g5.4.$tComplete graphs with repulsions --$g6.$tOccupancy and urn models --$g6.1.$tDrawing without replacement --$g6.2.$tMultinomial allocations --$tLeft hand domain --$tRight hand domain --$tExact box counts --$g6.3.$tUrn models and general occupancy --$g6.4.$tA matrix occupancy problem --$g7.$tSpacings --$g7.1.$tCouplings --$g7.2.$tOrdinary spacings --$g7.3.$tm-Spacings --$g7.4.$tHigher dimensions --$g7.5.$tAn application to DNA breakage --$g8.$tExceedances and extremes --$g8.1.$tThe Gaussian case --$g8.2.$tThe scan statistic for Poisson processes --$g8.3.$tExtremes of associated random variables --$g8.4.$tPatterns and runs --$g8.5.$tRare sets in Markov chains --$g9.$tIndependent and dissociated terms --$g9.1.$tIndependent summands.
505 80 $g9.2.$tBinomial approximation --$g9.3.$tDissociated summands --$g10.$tPoisson process approximation --$g10.1.$tThe basic method --$g10.2.$tImproved rates --$g10.3.$tMultivariate Poisson approximation --$g10.4.$tCompound Poisson approximation --$g10.5.$tFurther developments --$tApp. A.1: Probability metrics --$tTotal variation distance --$tWasserstein distance --$tHellinger distance --$tApp. A.2: Poisson and binomial estimates.
520 $aThe modern theories of reliability and insurance are based on the assumption that the occurence of rare events is governed by Poisson processes. This volume provides an introduction to the Stein-Chen method, which makes it possible to assess how much error is introduced by the assumption.
540 $aCurrent Copyright Fee: GBP20.00$c0.$5Uk
650 0 $aPoisson distribution.
650 0 $aApproximation theory.
650 12 $aPoisson Distribution
650 6 $aPoisson, Distribution de.
650 6 $aApproximation, The orie de l'
650 7 $aApproximation theory.$2fast$0(OCoLC)fst00811829
650 7 $aPoisson distribution.$2fast$0(OCoLC)fst01068206
650 17 $aPoissonverdeling.$2gtt
650 7 $aPoisson, distribution de.$2ram
650 7 $aApproximation, the orie de l'.$2ram
653 0 $aApproximation
700 1 $aHolst, Lars.
700 1 $aJanson, Svante.
776 08 $iOnline version:$aBarbour, A.D.$tPoisson approximation.$dOxford [England] : Clarendon Press ; New York : Oxford University Press, 1992$w(OCoLC)625881790
830 0 $aOxford studies in probability ;$v2.
830 0 $aOxford science publications.
856 41 $3Table of contents$uhttp://catdir.loc.gov/catdir/enhancements/fy0606/91043589-t.html
856 41 $3Table of contents$uhttp://www.gbv.de/dms/hbz/toc/ht004164826.pdf
856 41 $3Table of contents$uhttp://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2294228&custom_att_2=simple_viewer
856 42 $3Inhaltstext$uhttp://www.zentralblatt-math.org/zmath/en/search/?an=0746.60002
856 42 $3Publisher description$uhttp://catdir.loc.gov/catdir/enhancements/fy0606/91043589-d.html
938 $aBaker & Taylor$bBKTY$c166.00$d166.00$i0198522355$n0002050310$sactive
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938 $aBaker and Taylor$bBTCP$n91043589$c℗Đ30.00 (est.) ($47.50 U.S.)
938 $aYBP Library Services$bYANK$n115383
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