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:
    non sort: A
    title: Comparison of the Bayesian and Frequentist Approaches to Estimation
  name:
    name part: Samaniego, Francisco J.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 225 p. online resource.
  abstract: This monograph contributes to the area of comparative statistical inference. Attention is restricted to the important subfield of statistical estimation. The book is intended for an audience having a solid grounding in probability and statistics at the level of the year-long undergraduate course taken by statistics and mathematics majors. The necessary background on Decision Theory and the frequentist and Bayesian approaches to estimation is presented and carefully discussed in Chapters 1–3. The “threshold problem” -- identifying the boundary between Bayes estimators which tend to outperform standard frequentist estimators and Bayes estimators which don’t -- is formulated in an analytically tractable way in Chapter 4. The formulation includes a specific (decision-theory based) criterion for comparing estimators. The centerpiece of the monograph is Chapter 5 in which, under quite general conditions, an explicit solution to the threshold is obtained for the problem of estimating a scalar parameter under squared error loss. The six chapters that follow address a variety of other contexts in which the threshold problem can be productively treated. Included are treatments of the Bayesian consensus problem, the threshold problem for estimation problems involving of multi-dimensional parameters and/or asymmetric loss, the estimation of nonidentifiable parameters, empirical Bayes methods for combining data from ‘similar’ experiments and linear Bayes methods for combining data from ‘related’ experiments. The final chapter provides an overview of the monograph’s highlights and a discussion of areas and problems in need of further research. F. J. Samaniego is a Distinguished Professor of Statistics at the University of California, Davis. He served as Theory and Methods Editor of the Journal of the American Statistical Association (2003-05), was the 2004 recipient of the Davis Prize for Undergraduate Teaching and Scholarly Achievement, and is an elected Fellow of the ASA, the I…
  table of contents: Point Estimation from a Decision-Theoretic Viewpoint -- An Overview of the Frequentist Approach to Estimation -- An Overview of the Bayesian Approach to Estimation -- The Threshold Problem -- Comparing Bayesian and Frequentist Estimators of a Scalar Parameter -- Conjugacy, Self-Consistency and Bayesian Consensus -- Bayesian vs. Frequentist Shrinkage in Multivariate Normal Problems -- Comparing Bayesian and Frequentist Estimators under Asymmetric Loss -- The Treatment of Nonidentifiable Models -- Improving on Standard Bayesian and Frequentist Estimators -- Combining Data from “Related” Experiments -- Fatherly Advice.
  note: by Francisco J. Samaniego.
  subject:
    topic: Mathematics
  subject:
    topic: Probabilities
  subject:
    topic: Statistics
  subject:
    topic: Social sciences
  subject:
    topic: Mathematics
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Statistical Theory and Methods
  subject:
    topic: Methodology of the Social Sciences
  classification: QA273.A1-274.9
  classification: QA274-274.9
  classification: 519.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Series in Statistics
  identifier: 9781441959416
  identifier: http://dx.doi.org/10.1007/978-1-4419-5941-6
  record info:
    record creation date: 100623
    record change date: 20151204145616.0
    record identifier: 978-1-4419-5941-6