# Expected value in statistics

Der Erwartungswert (selten und doppeldeutig Mittelwert) ist ein Grundbegriff der Stochastik. Krishna B. Athreya, Soumendra N. Lahiri: Measure Theory and Probability Theory (= Springer Texts in Statistics ). Springer Verlag, New York , Definitionen · Elementare Eigenschaften · Beispiele · Weitere Eigenschaften. Anticipated value for a given investment. In statistics and probability analysis, expected value is calculated by multiplying each of the possible outcomes by the. Expected Value (i.e., Mean) of a Discrete Random Variable. Law of Large Numbers: Given a Sample Statistic, Population Parameter. Mean, \overline{x}, \ mu.
For continuous variable situations, integrals must be used. Become a day trader. Determine the probability of each possible outcome. He began to discuss the problem in a now famous series of letters to Pierre de Fermat. Rolling any other number results in no payout. Going back to the first example used above for expectation involving the dice game, we would calculate the standard deviation for this discrete distribution by first calculating the variance:. Before thinking about all the possible outcomes and probabilities involved, make sure to understand the problem.

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