Normal Approximation by Stein's Method 2011 Edition Contributor(s): Chen, Louis H. y. (Author), Goldstein, Larry (Author), Shao, Qi-Man (Author) |
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ISBN: 3642150063 ISBN-13: 9783642150067 Publisher: Springer OUR PRICE: $94.99 Product Type: Hardcover - Other Formats Published: October 2010 |
Additional Information |
BISAC Categories: - Mathematics | Probability & Statistics - General |
Dewey: 519.2 |
LCCN: 2010938379 |
Series: Probability and Its Applications |
Physical Information: 0.94" H x 6.14" W x 9.21" (1.68 lbs) 408 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Since its introduction in 1972, Stein's method has offered a completely novel way of evaluating the quality of normal approximations. Through its characterizing equation approach, it is able to provide approximation error bounds in a wide variety of situations, even in the presence of complicated dependence. Use of the method thus opens the door to the analysis of random phenomena arising in areas including statistics, physics, and molecular biology. Though Stein's method for normal approximation is now mature, the literature has so far lacked a complete self contained treatment. This volume contains thorough coverage of the method's fundamentals, includes a large number of recent developments in both theory and applications, and will help accelerate the appreciation, understanding, and use of Stein's method by providing the reader with the tools needed to apply it in new situations. It addresses researchers as well as graduate students in Probability, Statistics and Combinatorics. |