Associated Sequences, Demimartingales and Nonparametric Inference (Probability and Its Applications (duplicate)) - Softcover

Buch 28 von 35: Probability and Its Applications

Prakasa Rao, B.L.S.

 
9783034807463: Associated Sequences, Demimartingales and Nonparametric Inference (Probability and Its Applications (duplicate))
Softcover
ISBN 10: 3034807465 ISBN 13: 9783034807463
Verlag: Birkhäuser, 2014

Inhaltsangabe

This book gives a comprehensive review of results for associated sequences and demimartingales developed so far, with special emphasis on demimartingales and related processes. Probabilistic properties of associated sequences, demimartingales and related processes are discussed in the first six chapters. Applications of some of these results to some problems in nonparametric statistical inference for such processes are investigated in the last three chapters.

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This book gives a comprehensive review of results for associated sequences and demimartingales developed so far, with special emphasis on demimartingales and related processes.

One of the basic aims of theory of probability and statistics is to build stochastic models which explain the phenomenon under investigation and explore the dependence among various covariates which influence this phenomenon. Classic examples are the concepts of Markov dependence or of mixing for random processes. Esary, Proschan and Walkup introduced the concept of association for random variables, and Newman and Wright studied properties of processes termed as demimartingales. It can be shown that the partial sums of mean zero associated random variables form a demimartingale.

Probabilistic properties of associated sequences, demimartingales and related processes are discussed in the first six chapters. Applications of some of these results to problems in nonparametric statistical inference for such processes are investigated in the last three chapters.

This book will appeal to graduate students and researchers interested in probabilistic aspects of various types of stochastic processes and their applications in reliability theory, statistical mechanics, percolation theory and other areas.

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Verlag
Birkhäuser
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
3034807465
ISBN 13 
9783034807463
Einband
Taschenbuch
Anzahl der Seiten
284
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Weitere beliebte Ausgaben desselben Titels

9783034802390: Associated Sequences, Demimartingales and Nonparametric Inference (Probability and Its Applications (duplicate))

Vorgestellte Ausgabe

ISBN 10:  3034802390 ISBN 13:  9783034802390
Verlag: Birkhäuser, 2011
Hardcover