9783540570455 - Limit Theorems of Probability Theory (15 risultati)

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Condizione: New. pp. 292.

Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book consists of five parts written by different authors devoted to various problems dealing with probability limit theorems. The first part, 'Classical-Type Limit Theorems for Sums ofIndependent Random Variables' (V.v. Petrov), presents a number of classical limit theorems for sums of independent random variables as well as newer related results. The presentation dwells on three basic topics: the central limit theorem, laws of large numbers and the law of the iterated logarithm for sequences of real-valued random variables. The second part, 'The Accuracy of Gaussian Approximation in Banach Spaces' (V. Bentkus, F. G6tze, V. Paulauskas and A. Rackauskas), reviews various results and methods used to estimate the convergence rate in the central limit theorem and to construct asymptotic expansions in infinite-dimensional spaces. The authors con fine themselves to independent and identically distributed random variables. They do not strive to be exhaustive or to obtain the most general results; their aim is merely to point out the differences from the finite-dimensional case and to explain certain new phenomena related to the more complex structure of Banach spaces. Also reflected here is the growing tendency in recent years to apply results obtained for Banach spaces to asymptotic problems of statistics.

Condizione: Sehr gut. Zustand: Sehr gut | Seiten: 292 | Sprache: Englisch | Produktart: Bücher | This book consists of five parts written by different authors devoted to various problems dealing with probability limit theorems. The first part, "Classical-Type Limit Theorems for Sums ofIndependent Random Variables" (V.v. Petrov), presents a number of classical limit theorems for sums of independent random variables as well as newer related results. The presentation dwells on three basic topics: the central limit theorem, laws of large numbers and the law of the iterated logarithm for sequences of real-valued random variables. The second part, "The Accuracy of Gaussian Approximation in Banach Spaces" (V. Bentkus, F. G6tze, V. Paulauskas and A. Rackauskas), reviews various results and methods used to estimate the convergence rate in the central limit theorem and to construct asymptotic expansions in infinite-dimensional spaces. The authors con­ fine themselves to independent and identically distributed random variables. They do not strive to be exhaustive or to obtain the most general results; their aim is merely to point out the differences from the finite-dimensional case and to explain certain new phenomena related to the more complex structure of Banach spaces. Also reflected here is the growing tendency in recent years to apply results obtained for Banach spaces to asymptotic problems of statistics.

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Hardcover. Condizione: Like New. Like New. book.

Condizione: As New. Unread book in perfect condition.

Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers. 292 pp. Englisch.

Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The book covers aspects of limit theorems by a well-known group of researchers.A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and .

Condizione: New. Print on Demand pp. 292 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam.

Condizione: New. PRINT ON DEMAND pp. 292.

Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book consists of five parts written by different authors devoted to various problems dealing with probability limit theorems. The first part, 'Classical-Type Limit Theorems for Sums ofIndependent Random Variables' (V.v. Petrov), presents a number of classical limit theorems for sums of independent random variables as well as newer related results. The presentation dwells on three basic topics: the central limit theorem, laws of large numbers and the law of the iterated logarithm for sequences of real-valued random variables. The second part, 'The Accuracy of Gaussian Approximation in Banach Spaces' (V. Bentkus, F. G6tze, V. Paulauskas and A. Rackauskas), reviews various results and methods used to estimate the convergence rate in the central limit theorem and to construct asymptotic expansions in infinite-dimensional spaces. The authors con fine themselves to independent and identically distributed random variables. They do not strive to be exhaustive or to obtain the most general results; their aim is merely to point out the differences from the finite-dimensional case and to explain certain new phenomena related to the more complex structure of Banach spaces. Also reflected here is the growing tendency in recent years to apply results obtained for Banach spaces to asymptotic problems of statistics.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 292 pp. Englisch.