Independence

Yuan Shih Chow and Henry Teicher
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Yuan Shih Chow: Columbia University, Department of Mathematics and Statistics
Henry Teicher: Rutgers University, Department of Statistics

Chapter 3 in Probability Theory, 1978, pp 54-82 from Springer

Abstract: Abstract Independence may be considered the single most important concept in probability theory, demarcating the latter from measure theory and fostering an independent development. In the course of this evolution, probability theory has been fortified by its links with the real world, and indeed the definition of independence is the abstract counterpart of a highly intuitive and empirical notion. Independence of random variables {X i }, the definition of which involves the events of σ(X i ), will be shown in Section 2 to concern only the joint distribution functions.

Keywords: Success Probability; Independent Random Variable; Bernoulli Trial; Joint Distribution Function; Independent Classis (search for similar items in EconPapers)
Date: 1978
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DOI: 10.1007/978-1-4684-0062-5_3

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