Random Sets in Econometrics

Business & Finance, Economics, Econometrics, Nonfiction, Science & Nature, Mathematics
Cover of the book Random Sets in Econometrics by Ilya Molchanov, Francesca Molinari, Cambridge University Press
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Author: Ilya Molchanov, Francesca Molinari ISBN: 9781108651356
Publisher: Cambridge University Press Publication: March 31, 2018
Imprint: Cambridge University Press Language: English
Author: Ilya Molchanov, Francesca Molinari
ISBN: 9781108651356
Publisher: Cambridge University Press
Publication: March 31, 2018
Imprint: Cambridge University Press
Language: English

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.

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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.

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