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Random Variables and Probabilities

Chapter
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Part of the Springer Texts in Statistics book series (STS)

Abstract

The previous treatment deals with trials, outcomes, and events. The basic space is the set ft of all possible outcomes. An event is determined by a set of properties or attributes of the outcomes; it consists of those outcomes that have the prescribed properties or attributes. Probability is assigned to events and to logical combinations of events. In order to ensure that such combinations are also events, the class of events is assumed to have the closure properties of a sigma algebra. That is, complements, countable unions, and countable intersections of events are themselves events.

Keywords

Real Line Canonical Form Indicator Function Basic Space Inverse Image 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  1. 1.Department of Mathematical SciencesRice UniversityHoustonUSA

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