and statistics, the law of the unconscious statistician, or LOTUS, is a theorem which expresses the expected value of a function g(X) of a random variable...

special cases of dependency the equality may hold. Law of the unconscious statistician: The expected value of a measurable function of X , {\displaystyle...

function. In some cases the latter integral is computed much more easily than the former. See Law of the unconscious statistician. Let g : R → R {\displaystyle...

steamship involved in the Lotus case criminal trial S.S.S. Lotus, an American sailing vessel Law of the unconscious statistician, a statistics theorem...

over the distribution of all values of Y. This follows from the definition of expected value (after applying the law of the unconscious statistician) E...

Moment about the mean Standardized moment Skewness Kurtosis Locality Cumulant Factorial moment Expected value Law of the unconscious statistician Second moment...

JSTOR 2958222. Stigler, Stephen M. (1978). "Francis Ysidro Edgeworth, statistician". Journal of the Royal Statistical Society, Series A. 141 (3): 287–322. doi:10...

}e^{-sx}f_{X}(x)\,dx,} and the moment-generating function's definition expands (by the law of the unconscious statistician) to M X ( t ) = E ⁡ [ e t X...

unconscious statistician Law of total covariance Law of total cumulance Law of total expectation Law of total probability Law of total variance Law of truly...

_{\mathcal {H}}(\omega ,-)} is a probability measure. The Law of the unconscious statistician is then E ⁡ [ f ( X ) | H ] = ∫ f ( x ) κ H ( − , d x )...