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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aConvergence of probability measures /$fPatrick Billingsley
205   $a2nd ed.
210   $aNew York $cWiley$dc1999
215   $a1 online resource (277 p.)
225 1 $aWiley series in probability and statistics Probability and statistics section
300   $aPrevious ed.: 1968.
311 08$a9780471197454 
311 08$a0471197459 
320   $aIncludes bibliographical references and indexes.
330 8 $aA new look at weak-convergence methods in metric spaces-from a master of probability theory In this new edition, Patrick Billingsley updates his classic work Convergence of Probability Measures to reflect developments of the past thirty years. Widely known for his straightforward approach and reader-friendly style, Dr. Billingsley presents a clear, precise, up-to-date account of probability limit theory in metric spaces. He incorporates many examples and applications that illustrate the power and utility of this theory in a range of disciplines-from analysis and number theory to statistics, engineering, economics, and population biology. With an emphasis on the simplicity of the mathematics and smooth transitions between topics, the Second Edition boasts major revisions of the sections on dependent random variables as well as new sections on relative measure, on lacunary trigonometric series, and on the Poisson-Dirichlet distribution as a description of the long cycles in permutations and the large divisors of integers. Assuming only standard measure-theoretic probability and metric-space topology, Convergence of Probability Measures provides statisticians and mathematicians with basic tools of probability theory as well as a springboard to the "industrial-strength" literature available today. 
410  0$aWiley series in probability and statistics.$pProbability and statistics.
606   $aConvergence
606   $aMetric spaces
606   $aProbability measures
615  0$aConvergence.
615  0$aMetric spaces.
615  0$aProbability measures.
676   $a519.2
700   $aBillingsley$b Patrick$041724
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9911019698403321
996   $aConvergence of probability measures$979660
997   $aUNINA