Random sets in econometrics

Molchanov, Ilya; Molinari, Francesca (2018). Random sets in econometrics. Econometric Society Monographs: Vol. 60. Cambridge: Cambridge University Press

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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.

Item Type:

Book (Monograph)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematical Statistics and Actuarial Science

UniBE Contributor:

Molchanov, Ilya

Subjects:

300 Social sciences, sociology & anthropology > 360 Social problems & social services
500 Science > 510 Mathematics

ISBN:

978-1-107-54873-2

Series:

Econometric Society Monographs

Publisher:

Cambridge University Press

Language:

English

Submitter:

Ilya Molchanov

Date Deposited:

24 May 2018 10:27

Last Modified:

24 May 2018 10:27

URI:

https://boris.unibe.ch/id/eprint/116528

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