'A bound for the error in the normal approximation to the distribution of a sum of dependent random variables'. Pp. 583-602 in: Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability. University of California, June 21-July 18, 1970. Volume II (2): Probability Theory.

Lingua: inglese

Editore: Berkeley & Los Angeles: University of California Press, 1972., 1972

0520021843 / 9780520021846

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Da: Ted Kottler, Bookseller, Redondo Beach, CA, U.S.A.Ted Kottler, Bookseller

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First Edition. Frontisportrait (of William Feller), l, 605 pp. Original cloth. Very Good+, without dust jacket. 'Stein was certainly a most remarkable person. In 1956 he was 35 years old, a professor at Stanford University, which he had joined in 1953, and had already done some fundamental research in mathematical statistics, including the famous Hunt-Stein theorem relating group theory and statistical invariance. . . . he contributed a number of other important [results] to mathematical statistics. One of these was a 1972 paper in which he showed convergence in distribution to the normal and produced a Berry-Esseen type theorem for sums of dependent random variables. The technique he developed was quite novel and did not make use of Fourier methods, but relied instead on an elementary differential equation. His result, for example, gives a way of obtaining a Berry-Esseen result for U-statistics. Stein's result was applied in 1975 by Chen to the Poisson case and has since become known as the Chen-Stein method' ('Statistics in the Fifties', SASA's fiftieth anniversary conference presidential address). Other contributors include Debreu & Schmeidler, W. Hildenbrand, Kakutani, Gnedenko, et al. Also includes Mark Kac, 'William Feller, in Memoriam' (xxi-xxiii), L. K. Schmetterer, 'Alfréd Rényi, in Memoriam' (xxv-l).…

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Dati bibliografici

Titolo
'A bound for the error in the normal approximation to the distribution of a sum of dependent random variables'. Pp. 583-602 in: Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability. University of California, June 21-July 18, 1970. Volume II (2): Probability Theory.
Autore
STEIN, Charles: [LE CAM, Lucien M.; NEYMAN, Jerzy & Elizabeth L. SCOTT (eds.)]
Editore
Berkeley & Los Angeles: University of California Press, 1972.
Anno di pubblicazione
1972
Condizione
Fine
Sovraccoperta
No Jacket
Rilegatura
Hardcover
Lingua
inglese
ISBN 10
0520021843
ISBN 13
9780520021846
Edizione
1st Edition

Ted Kottler, Bookseller

Redondo Beach, CA, U.S.A.

Venditore con 3 stelle

Venditore AbeBooks dal 5 gennaio 2002

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I specialize in modern books on economics, science and philosophy, with an additional emphasis on scholarly books of all kinds.

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