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ISBN: 9780387961347

ID: a3465668fe8bf968484744bc0b774704

The modern theory of Sequential Analysis came into existence simultaneously in the United States and Great Britain in response to demands for more efficient sampling inspection procedures during World War II. The develop ments were admirably summarized by their principal architect, A. Wald, in his book Sequential Analysis (1947). In spite of the extraordinary accomplishments of this period, there remained some dissatisfaction with the sequential probability ratio test and Wald's analysis of it. (i) The open-ended continuation region with the concomitant possibility of taking an arbitrarily large number of observations seems intol erable in practice. (ii) Wald's elegant approximations based on "neglecting the excess" of the log likelihood ratio over the stopping boundaries are not especially accurate and do not allow one to study the effect oftaking observa tions in groups rather than one at a time. (iii) The beautiful optimality property of the sequential probability ratio test applies only to the artificial problem of testing a simple hypothesis against a simple alternative. In response to these issues and to new motivation from the direction of controlled clinical trials numerous modifications of the sequential probability ratio test were proposed and their properties studied-often by simulation or lengthy numerical computation. (A notable exception is Anderson, 1960, see III.7.) In the past decade it has become possible to give a more complete theoretical analysis of many of the proposals and hence to understand them better. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik / Stochastik & Statistik, [PU: Springer]

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ISBN: 9780387961347

ID: 1186494

The modern theory of Sequential Analysis came into existence simultaneously in the United States and Great Britain in response to demands for more efficient sampling inspection procedures during World War II. The developÂ ments were admirably summarized by their principal architect, A. Wald, in his book Sequential Analysis (1947). In spite of the extraordinary accomplishments of this period, there remained some dissatisfaction with the sequential probability ratio test and Wald's analysis of it. (i) The open-ended continuation region with the concomitant possibility of taking an arbitrarily large number of observations seems intolÂ erable in practice. (ii) Wald's elegant approximations based on "neglecting the excess" of the log likelihood ratio over the stopping boundaries are not especially accurate and do not allow one to study the effect oftaking observaÂ tions in groups rather than one at a time. (iii) The beautiful optimality property of the sequential probability ratio test applies only to the artificial problem of testing a simple hypothesis against a simple alternative. In response to these issues and to new motivation from the direction of controlled clinical trials numerous modifications of the sequential probability ratio test were proposed and their properties studied-often by simulation or lengthy numerical computation. (A notable exception is Anderson, 1960; see III.7.) In the past decade it has become possible to give a more complete theoretical analysis of many of the proposals and hence to understand them better. Sequential Analysis Siegmund, David, Springer

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ISBN: 9780387961347

ID: 9780387961347

The modern theory of Sequential Analysis came into existence simultaneously in the United States and Great Britain in response to demands for more efficient sampling inspection procedures during World War II.; Hardback \ Mary Helen Immordino-Yang; Scientific, Technical and Medical > Mathematics > Probability & statistics, WW Norton & Co

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ISBN: 9780387961347

ID: 9780387961347

Statistics; Statistical Theory and Methods; Probability Theory and Stochastic Processes Analysis, Brownian motion, Likelihood, Martingale, random walk, renewal theory Books, Springer Nature

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** Details of the book - Sequential Analysis**

EAN (ISBN-13): 9780387961347

ISBN (ISBN-10): 0387961348

Hardcover

Publishing year: 1985

Publisher: SPRINGER VERLAG GMBH

292 Pages

Weight: 0,562 kg

Language: eng/Englisch

Book in our database since 24.11.2007 23:31:25

Book found last time on 12.08.2018 15:06:49

ISBN/EAN: 0387961348

ISBN - alternate spelling:

0-387-96134-8, 978-0-387-96134-7

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