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.
General
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