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- Law_of_the_unconscious_statistician abstract "In probability theory and statistics, the law of the unconscious statistician is a theorem used to calculate the expected value of a function g(X) of a random variable X when one knows the probability distribution of X but one does not explicitly know the distribution of g(X).The form of the law can depend on the form in which one states the probability distribution of the random variable X. If it is a discrete distribution and one knows the probability mass function ƒX (not of g(X)), then the expected value of g(X) is where the sum is over all possible values x of X. If it is a continuous distribution and one knows the probability density function ƒX (not of g(X)), then the expected value of g(X) is (provided the values of X are real numbers as opposed to vectors, complex numbers, etc.).Regardless of continuity-versus-discreteness and related issues, if one knows the cumulative probability distribution function FX (not of g(X)), then the expected value of g(X) is given by a Riemann–Stieltjes integral (again assuming X is real-valued).However, the result is so well known that it is usually used without stating a name for it: the name is not extensively used. For justifications of the result for discrete and continuous random variables see.".
- Law_of_the_unconscious_statistician wikiPageID "21978406".
- Law_of_the_unconscious_statistician wikiPageRevisionID "576444776".
- Law_of_the_unconscious_statistician hasPhotoCollection Law_of_the_unconscious_statistician.
- Law_of_the_unconscious_statistician subject Category:Statistical_laws.
- Law_of_the_unconscious_statistician subject Category:Theory_of_probability_distributions.
- Law_of_the_unconscious_statistician type Abstraction100002137.
- Law_of_the_unconscious_statistician type Collection107951464.
- Law_of_the_unconscious_statistician type Group100031264.
- Law_of_the_unconscious_statistician type Law108441203.
- Law_of_the_unconscious_statistician type StatisticalLaws.
- Law_of_the_unconscious_statistician comment "In probability theory and statistics, the law of the unconscious statistician is a theorem used to calculate the expected value of a function g(X) of a random variable X when one knows the probability distribution of X but one does not explicitly know the distribution of g(X).The form of the law can depend on the form in which one states the probability distribution of the random variable X.".
- Law_of_the_unconscious_statistician label "Law of the unconscious statistician".
- Law_of_the_unconscious_statistician sameAs m.05n__fv.
- Law_of_the_unconscious_statistician sameAs Q6503509.
- Law_of_the_unconscious_statistician sameAs Q6503509.
- Law_of_the_unconscious_statistician sameAs Law_of_the_unconscious_statistician.
- Law_of_the_unconscious_statistician wasDerivedFrom Law_of_the_unconscious_statistician?oldid=576444776.
- Law_of_the_unconscious_statistician isPrimaryTopicOf Law_of_the_unconscious_statistician.