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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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Limits and Continuity

Limits and Continuity

Chapter:
(p.20) 2 Limits and Continuity
Source:
Stochastic Limit Theory
Author(s):

James Davidson

Publisher:
Oxford University Press
DOI:10.1093/0198774036.003.0002

The basic ideas of real analysis are covered, including Euclidean distance, sets of the real line, coverings, compactness, real sequences, Cauchy sequences, limits, and cluster points. The chapter then introduces functions of a real variable, continuity concepts, convergence concepts for sequences of functions, summability and order of magnitude relations, regular variation, and limit concepts for arrays.

Keywords:   analysis, array, Cauchy sequence, continuity, Euclidean distance, function, limit, order of magnitude, sets, summability

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