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Field name	Details
Dewey Class	519.2
Title	Associated Sequences, Demimartingales and Nonparametric Inference ([Ebook]) / by B.L.S. Prakasa Rao.
Author	Prakasa Rao, B.L.S.
Other name(s)	SpringerLink (Online service)
Publication	Basel : Springer Basel , 2012.
Physical Details	XI, 272 pages : 2 illus., 1 illus. in color. : online resource.
Series	Probability and Its Applications
ISBN	9783034802406
Summary Note	This book gives a comprehensive review of results for associated sequences and demimartingales developed so far, with special emphasis on demimartingales and related processes. Â 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. Â 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. Â 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.:
Contents note	Preface -- Associated Random Variables and Related Concepts -- Demimartingales -- N-Demimartingales -- Conditional Demimartingales -- Multidimensionally Indexed Demimartingales and Continuous Parameter Demimartingales -- Limit Theorems for Associated Random Variables -- Nonparametric Estimation for Associated Sequences -- Nonparametric Tests for Associated Sequences -- Nonparametric Tests for Change in Marginal Density Function for Associated Sequences -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-0348-0240-6
Links to Related Works	Subject References: Distribution (Probability theory) . Mathematics . Probability theory and stochastic processes . Authors: Prakasa Rao, B.L.S. . Corporate Authors: SpringerLink (Online service) . Series: Probability and Its Applications . Classification: 519.2 . 519.2 (DDC 23) .

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Associated Sequences, Demimartingales and Nonparametric Inference

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