Theory of U-Statistics (Paperback, Softcover reprint of hardcover 1st ed. 1994)

The theory of U-statistics goes back to the fundamental work of Hoeffding 1], in which he proved the central limit theorem. During last forty years the interest to this class of random variables has been permanently increasing, and thus, the new intensively developing branch of probability theory has been formed. The U-statistics are one of the universal objects of the modem probability theory of summation. On the one hand, they are more complicated "algebraically" than sums of independent random variables and vectors, and on the other hand, they contain essential elements of dependence which display themselves in the martingale properties. In addition, the U -statistics as an object of mathematical statistics occupy one of the central places in statistical problems. The development of the theory of U-statistics is stipulated by the influence of the classical theory of summation of independent random variables: The law of large num bers, central limit theorem, invariance principle, and the law of the iterated logarithm we re proved, the estimates of convergence rate were obtained, etc."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 273
Release date:	December 2010
First published:	1994
Authors:	Vladimir S. Korolyuk • Y.V. Borovskich
Dimensions:	235 x 155 x 29mm (L x W x T)
Format:	Paperback
Pages:	554
Edition:	Softcover reprint of hardcover 1st ed. 1994
ISBN-13:	978-90-481-4346-7
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Computing & IT > Computer software packages > Other software packages > Mathematical & statistical software
LSN:	90-481-4346-2
Barcode:	9789048143467

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