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"...the text is user friendly to the topics it considers and should be very accessible...Instructors and students of statistical measure theoretic courses will appreciate the numerous informative exercises; helpful hints or solution outlines are given with many of the problems. All in all, the text should make a useful reference for professionals and students."-The Journal of the American Statistical Association
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Measure theory and integration are presented to undergraduates from the perspective of probability theory. The first chapter shows why measure theory is needed for the formulation of problems in probability, and explains why one would have been forced to invent Lebesgue theory (had it not already existed) to contend with the paradoxes of large numbers. The measure-theoretic approach then leads to interesting applications and a range of topics that include the construction of the Lebesgue measure on R [superscript n] (metric space approach), the Borel-Cantelli lemmas, straight measure theory (the Lebesgue integral). Chapter 3 expands on abstract Fourier analysis, Fourier series and the Fourier integral, which have some beautiful probabilistic applications: Polya's theorem on random walks, Kac's proof of the Szegö theorem and the central limit theorem. In this concise text, quite a few applications to probability are packed into the exercises.
"…the text is user friendly to the topics it considers and should be very accessible…Instructors and students of statistical measure theoretic courses will appreciate the numerous informative exercises; helpful hints or solution outlines are given with many of the problems. All in all, the text should make a useful reference for professionals and students."―The Journal of the American Statistical Association
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Measure Theory and Probability
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. .the text is user friendly to the topics it considers and should be very accessible.Instructors and students of statistical measure theoretic courses will appreciate the numerous informative exercises helpful hints or solution outlines are given wi. Codice articolo 5975542
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'.the text is user friendly to the topics it considers and should be very accessible.Instructors and students of statistical measure theoretic courses will appreciate the numerous informative exercises; helpful hints or solution outlines are given with many of the problems. All in all, the text should make a useful reference for professionals and students.'-The Journal of the American Statistical Association 228 pp. Englisch. Codice articolo 9780817638849
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Measure Theory and Probability (The Wadsworth & Brooks/Cole Mathematics Series)
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Measure Theory and Probability
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Birkhäuser Boston, Birkhäuser Boston Jan 1996, 1996
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ISBN 13: 9780817638849
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -'¿the text is user friendly to the topics it considers and should be very accessible¿Instructors and students of statistical measure theoretic courses will appreciate the numerous informative exercises; helpful hints or solution outlines are given with many of the problems. All in all, the text should make a useful reference for professionals and students.'¿The Journal of the American Statistical AssociationSpringer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 228 pp. Englisch. Codice articolo 9780817638849
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