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Published by International Press of Boston, 2008
ISBN 10: 1571461698 ISBN 13: 9781571461698
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Published by Springer Berlin Heidelberg, 2012
ISBN 10: 3642265650 ISBN 13: 9783642265655
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Published by Springer Berlin Heidelberg, 2010
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Language: English
Published by Springer-Verlag Berlin And Heidelberg Gmbh & Co. Kg, 2009
ISBN 10: 3540856358 ISBN 13: 9783540856351
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Condition: Sehr gut. Zustand: Sehr gut | Seiten: 292 | Sprache: Englisch | Produktart: Bücher | Self-normalized processes are of common occurrence in probabilistic and statistical studies. A prototypical example is Student's t-statistic introduced in 1908 by Gosset, whose portrait is on the front cover. Due to the highly non-linear nature of these processes, the theory experienced a long period of slow development. In recent years there have been a number of important advances in the theory and applications of self-normalized processes. Some of these developments are closely linked to the study of central limit theorems, which imply that self-normalized processes are approximate pivots for statistical inference.The present volume covers recent developments in the area, including self-normalized large and moderate deviations, and laws of the iterated logarithms for self-normalized martingales. This is the first book that systematically treats the theory and applications of self-normalization.
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