Multivariate Distributions

Enders A. Robinson

Chapter 5 in Probability Theory and Applications, 1985, pp 125-187 from Springer

Abstract: Abstract In probability theory the word “experiment” refers to any process that is nondeterministic to some particular observer. The observer’s uncertainty may be due to the nature of the process, the state of knowledge of the observer, or both. The study of probability theory is concerned with the analysis of abstractions, or models, of actual physical experiments. The formulation of a model requires a precise statement of an appropriate universe of possible outcomes. Another term for universe is sample space. The universe (or sample space) is a basic (i.e., elemental), mutually exclusive, and collectively exhaustive listing of all possible outcomes of a model of an experiment. That is, a sample space is made up of members that are EEE (which stands for elemental, exclusive, and exhaustive). The members, which are the possible outcomes of the experiment, are also known as the sample points of the sample space. The various events are sets of sample points. Set theory provides the algebra of events.

Keywords: Conditional Distribution; Marginal Distribution; Sample Space; Event Space; Multivariate Distribution (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-94-009-5386-4_5

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