Random sets in econometrics

著者

書誌事項

Random sets in econometrics

Ilya Molchanov, Francesca Molinari

(Econometric Society monographs, 60)

Cambridge University Press, 2018

  • : hardback
  • : pbk

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注記

Includes bibliographical references (p. 162-169) and indexes

内容説明・目次

内容説明

Random set theory is a fascinating branch of mathematics that amalgamates techniques from topology, convex geometry, and probability theory. Social scientists routinely conduct empirical work with data and modelling assumptions that reveal a set to which the parameter of interest belongs, but not its exact value. Random set theory provides a coherent mathematical framework to conduct identification analysis and statistical inference in this setting and has become a fundamental tool in econometrics and finance. This is the first book dedicated to the use of the theory in econometrics, written to be accessible for readers without a background in pure mathematics. Molchanov and Molinari define the basics of the theory and illustrate the mathematical concepts by their application in the analysis of econometric models. The book includes sets of exercises to accompany each chapter as well as examples to help readers apply the theory effectively.

目次

  • 1. Basic concepts
  • 2. Selections
  • 3. Expectation of random sets
  • 4. Limit theorems for Minkowski sums
  • 5. Estimation and interference.

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詳細情報

  • NII書誌ID(NCID)
    BB26355363
  • ISBN
    • 9781107121201
    • 9781107548732
  • LCCN
    2017055335
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge
  • ページ数/冊数
    xvii, 178 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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