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Field name	Details
Dewey Class	519.2
Title	Limit Theorems of Probability Theory ([EBook]) / edited by Yu. V. Prokhorov, V. Statulevičius.
Added Personal Name	Prokhorov, Jurii Vasilievich , 1929-2013
Added Personal Name	Statulevičius, V.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2000.
Physical Details	X, 273 pages : online resource.
ISBN	9783662041727
Summary Note	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.:
Contents note	I. Classical-Type Limit Theorems for Sums of Independent Random Variables -- II. The Accuracy of Gaussian Approximation in Banach Spaces -- III. Approximation of Distributions of Sums of Weakly Dependent Random Variables by the Normal Distribution -- IV. Refinements of the Central Limit Theorem for Homogeneous Markov Chains -- V. Limit Theorems on Large Deviations -- Name Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-04172-7
Links to Related Works	Subject References: Mathematics . Probabilities . Probability theory and stochastic processes . Authors: editor . Prokhorov, Jurii Vasilievich 1929-2013 . Statulevičius, V. . See Also: Prohorov, Ûrij Vasil'evič . Corporate Authors: SpringerLink (Online service) . Classification: 519.2 .

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Limit Theorems of Probability Theory

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