9780520021846 - probability theory (6th, v.2) (mathematical statistics and probability: berkeley symposium proceedings) (2 Ergebnisse)
'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.
STEIN, Charles: [LE CAM, Lucien M.; NEYMAN, Jerzy & Elizabeth L. SCOTT (eds.)]
Sprache: Englisch
Verlag: Berkeley & Los Angeles: University of California Press, 1972. 1972
- Hardcover
- Erstausgabe
Anbieter: Ted Kottler, Bookseller, Redondo Beach, USATed Kottler, Bookseller
Verkäufer/-in kontaktierenVerkäufer/-in mit 3 SternenZustand: Gebraucht - Sehr gut
EUR 35,45
EUR 10,93 VersandVersand innerhalb von USAAnzahl: 1 verfügbar
Hardcover. Zustand: Fine. No Jacket. 1st Edition. 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 f…undamental 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).
Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability. University of California, June 21-July 18, 1970. Volume II (2): Probability Theory.
LE CAM, Lucien M.; NEYMAN, Jerzy & Elizabeth L. SCOTT (eds.):
Sprache: Englisch
Verlag: Berkeley & Los Angeles: University of California Press, 1972. 1972
- Hardcover
- Erstausgabe
Anbieter: Ted Kottler, Bookseller, Redondo Beach, USATed Kottler, Bookseller
Verkäufer/-in kontaktierenVerkäufer/-in mit 3 SternenZustand: Gebraucht - Gut bis sehr gut
EUR 35,45
EUR 10,93 VersandVersand innerhalb von USAAnzahl: 1 verfügbar
Hardcover. Zustand: Near Fine. No Jacket. 1st Edition. First Edition Frontisportrait (of William Feller), l, 605 pp. Original cloth. Very Good+, without dust jacket. Includes: STEIN, Charles, 'A bound for the error in the normal approximation to the distribution of a sum of dependent random variables' (pp. 583-602). 'Stein was c…ertainly 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).
