Expected value

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In probability theory and statistics, the expected value mathematical expectation, or mean, of a random variable is the integral of the random variable with respect to its probability measure.For discrete random variables this is equivalent to the probability-weighted sum of the possible values.For continuous random variables with a density function it is the probability density-weighted integral of the possible values.The term "expected value" can be misleading. It must not be confused with the "most probable value." The expected value is in general not a typical value that the random variable can take on. It is often helpful to interpret the expected value of a random variable as the long-run average value of the variable over many independent repetitions of an experiment.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130273477
    • Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
    • Sprache Englisch
    • Größe H220mm x B150mm x T6mm
    • Jahr 2010
    • EAN 9786130273477
    • Format Fachbuch
    • ISBN 978-613-0-27347-7
    • Titel Expected value
    • Untertitel Probability theory, Statistics, Random variable, Lebesgue integration, Measure (mathematics), Weight function, Probability density function, Law of large numbers, Almost surely
    • Gewicht 153g
    • Herausgeber Alphascript Publishing
    • Anzahl Seiten 92
    • Genre Mathematik

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