Associated Sequences, Demimartingales and Nonparametric Inference
Language: English
Published by Birkh?user Basel, 2011
- Hardcover
- New
Condition: New
£ 57.45
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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. 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. Sprache: Englisch Gewicht in Gramm: 542.
Seller Inventory # IB-169136
- Title
- Associated Sequences, Demimartingales and Nonparametric Inference
- Author
- B. L. S. Prakasa Rao
- Publisher
- Birkh?user Basel
- Publication year
- 2011
- Condition
- Neu
- Binding
- Gebundene Ausgabe
- Language
- English
- ISBN 10
- 3034802390
- ISBN 13
- 9783034802390
- Item weight
- 542 grams
- Series
- Book 28 of 35: Probability and Its Applications
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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