rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Associated Sequences, Demimartingales and Nonparametric Inference
  name:
    name part: Prakasa Rao, B.L.S.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 272 p. online resource.
  abstract: 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.
  table of contents: 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.
  note: by B.L.S. Prakasa Rao.
  subject:
    topic: Mathematics
  subject:
    topic: Probabilities
  subject:
    topic: Mathematics
  subject:
    topic: Probability Theory and Stochastic Processes
  classification: QA273.A1-274.9
  classification: QA274-274.9
  classification: 519.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Probability and its Applications
  identifier: 9783034802406
  identifier: http://dx.doi.org/10.1007/978-3-0348-0240-6
  record info:
    record creation date: 111104
    record change date: 20151126001051.0
    record identifier: 978-3-0348-0240-6