Bayesian inference for partially identified models : exploring the limits of limited data

Author(s)

    • Gustafson, Paul

Bibliographic Information

Bayesian inference for partially identified models : exploring the limits of limited data

Paul Gustafson

(Monographs on statistics and applied probability, 141)

CRC Press, Taylor & Francis Group, c2015

Available at  / 14 libraries

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Note

"A Chapman & Hall book"

Includes bibliography (p. 163-171) and index

Description and Table of Contents

Description

Bayesian Inference for Partially Identified Models: Exploring the Limits of Limited Data shows how the Bayesian approach to inference is applicable to partially identified models (PIMs) and examines the performance of Bayesian procedures in partially identified contexts. Drawing on his many years of research in this area, the author presents a thorough overview of the statistical theory, properties, and applications of PIMs. The book first describes how reparameterization can assist in computing posterior quantities and providing insight into the properties of Bayesian estimators. It next compares partial identification and model misspecification, discussing which is the lesser of the two evils. The author then works through PIM examples in depth, examining the ramifications of partial identification in terms of how inferences change and the extent to which they sharpen as more data accumulate. He also explains how to characterize the value of information obtained from data in a partially identified context and explores some recent applications of PIMs. In the final chapter, the author shares his thoughts on the past and present state of research on partial identification. This book helps readers understand how to use Bayesian methods for analyzing PIMs. Readers will recognize under what circumstances a posterior distribution on a target parameter will be usefully narrow versus uselessly wide.

Table of Contents

Introduction. The Structure of Inference in Partially Identified Models. Partial Identification versus Model Misspecification. Models Involving Misclassification. Models Involving Instrumental Variables. Further Examples. Further Topics. Concluding Thoughts. Index.

by "Nielsen BookData"

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Details

  • NCID
    BB18561257
  • ISBN
    • 9781439869390
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Boca Raton
  • Pages/Volumes
    xxi, 174 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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