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Stochastic Limit TheoryAn Introduction for Econometricians$
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James Davidson

Print publication date: 1994

Print ISBN-13: 9780198774037

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198774036.001.0001

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Measure

Measure

Chapter:
(p.36) 3 Measure
Source:
Stochastic Limit Theory
Author(s):

James Davidson

Publisher:
Oxford University Press
DOI:10.1093/0198774036.003.0003

This chapter examines the concept of a measure space. The main topic is the extension theorem and its ramifications. Nonmeasurable sets are illustrated, and then measure concepts for product spaces introduced. Other topics include measurability under transformations, and Borel functions.

Keywords:   Borel function, extension theorem, Lebesgue measure, measurable transformation, measure, measure space, nonmeasurability, product spaces

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