Convergence of Random Variables and Measurable Functions

J. C. Taylor
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J. C. Taylor: McGill University, Department of Mathematics and Statistics

Chapter Chapter IV in An Introduction to Measure and Probability, 1997, pp 137-209 from Springer

Abstract: Abstract In what follows, the results will be stated and proved for probability spaces. Their extension to general σ-finite measure spaces are to be taken for granted unless commented upon. The probabilist’s notation E[X] for the integral ∫ XdP or ∫ Xdµ will be used frequently.

Keywords: Lebesgue Measure; Measure Space; Borel Function; Lebesgue Point; Uniform Integrability (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1007/978-1-4612-0659-0_4

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