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In probability theory, the expected value (also called expectation, expectancy, mathematical expectation, mean, average, or first moment) is a generalization of the weighted average. Informally, the expected value is the arithmetic mean of a large number of independently selected outcomes of a random variable. The expected value of a random variable X is often denoted by E(X), E[X], or EX, with E also often stylized as E or

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• In probability theory, the expected value (also called expectation, expectancy, mathematical expectation, mean, average, or first moment) is a generalization of the weighted average. Informally, the expected value is the arithmetic mean of a large number of independently selected outcomes of a random variable. The expected value of a random variable with a finite number of outcomes is a weighted average of all possible outcomes. In the case of a continuum of possible outcomes, the expectation is defined by integration. In the axiomatic foundation for probability provided by measure theory, the expectation is given by Lebesgue integration. The expected value of a random variable X is often denoted by E(X), E[X], or EX, with E also often stylized as E or (en)
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dbp:1a
• Johnson (en)
• Ross (en)
• Berger (en)
• Kotz (en)
• Feller (en)
• Billingsley (en)
• Papoulis (en)
• Pillai (en)
• Casella (en)
• Balakrishnan (en)
dbp:1loc
• Section 5-3 (en)
• Chapter 20 (en)
• Example 2.2.3 (en)
• Example 21.1 (en)
• Example 21.3 (en)
• Example 21.4 (en)
• Section 15 (en)
• Section 19 (en)
• Section 2.4.1 (en)
• Section 6-4 (en)
• Section I.2 (en)
• Section II.4 (en)
• Section IX.2 (en)
• Section IX.6 (en)
• Section IX.7 (en)
• Section V.6 (en)
• Section V.8 (en)
• Theorem 16.11 (en)
• Theorem 16.13 (en)
• Theorems 31.7 and 31.8 and p. 422 (en)
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• 81277 (xsd:integer)
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• 1968 (xsd:integer)
• 1971 (xsd:integer)
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• Ross (en)
• Berger (en)
• Feller (en)
• Casella (en)
dbp:2loc
• Example 2.16 (en)
• Example 2.17 (en)
• Example 2.18 (en)
• Example 2.2.2 (en)
• Example 2.20 (en)
• Example 2.22 (en)
• Section 2.4.2 (en)
• Section V.7 (en)
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• 92 (xsd:integer)
• 103 (xsd:integer)
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• 1971 (xsd:integer)
• 2001 (xsd:integer)
• 2019 (xsd:integer)
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• Ross (en)
• Papoulis (en)
• Pillai (en)
dbp:3loc
• Example 2.19 (en)
• Example 2.21 (en)
• Section 5-4 (en)
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• 2002 (xsd:integer)
• 2019 (xsd:integer)
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• Ross (en)
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• Section 2.8 (en)
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• 2019 (xsd:integer)
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• Edwards (en)
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• That any one Chance or Expectation to win any thing is worth just such a Sum, as wou'd procure in the same Chance and Expectation at a fair Lay. ... If I expect a or b, and have an equal chance of gaining them, my Expectation is worth /2. (en)
• It should be said, also, that for some time some of the best mathematicians of France have occupied themselves with this kind of calculus so that no one should attribute to me the honour of the first invention. This does not belong to me. But these savants, although they put each other to the test by proposing to each other many questions difficult to solve, have hidden their methods. I have had therefore to examine and go deeply for myself into this matter by beginning with the elements, and it is impossible for me for this reason to affirm that I have even started from the same principle. But finally I have found that my answers in many cases do not differ from theirs. (en)
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• In probability theory, the expected value (also called expectation, expectancy, mathematical expectation, mean, average, or first moment) is a generalization of the weighted average. Informally, the expected value is the arithmetic mean of a large number of independently selected outcomes of a random variable. The expected value of a random variable X is often denoted by E(X), E[X], or EX, with E also often stylized as E or (en)
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• Expected value (en)
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