Measure on the Real Line

Peter A. Loeb
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Peter A. Loeb: University of Illinois

Chapter Chapter 2 in Real Analysis, 2016, pp 25-43 from Springer

Abstract: Abstract There are many examples of functions that associate a nonnegative real number or $$+\infty$$ with a set. There is, for example, the number of members forming the set. Given a finite probability experiment, probabilities are associated with outcomes. Riemann integration associates with each finite interval in the real line, the length of that interval. These are all examples of a “finitely additive measure.”

Keywords: Finite Additivity; Riemann Integral; Lebesgue Outer Measure; Generalized Cantor Set; Open Middle Third (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30744-2_2

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DOI: 10.1007/978-3-319-30744-2_2

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