Associated Sequences, Demimartingales and Nonparametric Inference

  • B.L.S.¬†Prakasa Rao

Part of the Probability and its Applications book series (PA)

Table of contents

  1. Front Matter
    Pages I-XI
  2. B. L. S. Prakasa Rao
    Pages 1-30
  3. B. L. S. Prakasa Rao
    Pages 31-72
  4. B. L. S. Prakasa Rao
    Pages 73-103
  5. B. L. S. Prakasa Rao
    Pages 105-112
  6. B. L. S. Prakasa Rao
    Pages 127-185
  7. B. L. S. Prakasa Rao
    Pages 187-215
  8. B. L. S. Prakasa Rao
    Pages 217-234
  9. Back Matter
    Pages 253-272

About this book

Introduction

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.

Authors and affiliations

  • B.L.S.¬†Prakasa Rao
    • 1
  1. 1., Department of Mathematics and StatisticsUniversity of HyderabadHyderabadIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0240-6
  • Copyright Information Springer Basel AG 2012
  • Publisher Name Springer, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0239-0
  • Online ISBN 978-3-0348-0240-6
  • About this book