Verwandte Artikel zu Measure integral and probability (Springer Undergraduate...
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The key concept is that of measure which is first developed on the real line and then presented abstractly to provide an introduction to the foundations of probability theory (the Kolmogorov axioms) which in turn opens a route to many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities. Throughout, the development of the Lebesgue Integral provides the essential ideas: the role of basic convergence theorems, a discussion of modes of convergence for measurable functions, relations to the Riemann integral and the fundamental theorem of calculus, leading to the definition of Lebesgue spaces, the Fubini and Radon-Nikodym Theorems and their roles in describing the properties of random variables and their distributions. Applications to probability include laws of large numbers and the central limit theorem.
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The key concept is that of measure which is first developed on the real line and then presented abstractly to provide an introduction to the foundations of probability theory (the Kolmogorov axioms) which in turn opens a route to many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities. Throughout, the development of the Lebesgue Integral provides the essential ideas: the role of basic convergence theorems, a discussion of modes of convergence for measurable functions, relations to the Riemann integral and the fundamental theorem of calculus, leading to the definition of Lebesgue spaces, the Fubini and Radon-Nikodym Theorems and their roles in describing the properties of random variables and their distributions. Applications to probability include laws of large numbers and the central limit theorem.
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Measure, integral and probability. Marek CapiÅski and Ekkehard Kopp / Springer undergraduate mathematics series
ISBN 10: 3540762604
ISBN 13: 9783540762607
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Measure, Integral and Probability (Springer Undergraduate Mathematics Series)
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Soft cover. Zustand: Fine. As new copy. A tight, bright, and clean copy with no inscriptions and no annotations/notes. No creases to spine/cover or foxing to pages. Fantastic condition book. 227pp. (17x23.5cm). Please contact us for any more information. Bestandsnummer des Verkäufers 6986
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Measure, Integral and Probability
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Secaucus, New Jersey, U.S.A.: Springer Verlag, 1999
ISBN 10: 3540762604
ISBN 13: 9783540762607
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Paperback. Zustand: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 0.9. Bestandsnummer des Verkäufers G3540762604I4N00
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Measure, Integral and Probability.
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Published 1999 for the third-year undergraduate student. -- Softcover. Condition: very good. ISBN 3540762604. Bestandsnummer des Verkäufers 32325
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Beispielbild für diese ISBN
Measure, Integral and Probability
Verlag:
Secaucus, New Jersey, U.S.A.: Springer Verlag, 1999
ISBN 10: 3540762604
ISBN 13: 9783540762607
Gebraucht
Soft cover
Anbieter: Rob the Book Man, Vancouver, WA, USA
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Soft cover. Zustand: Fine. trade paperback in fine condition. Bestandsnummer des Verkäufers 20093
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