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What (who) is factorial moment - definition
Factorial moment
EXPECTATION OR AVERAGE OF THE FALLING FACTORIAL OF A RANDOM VARIABLE
Normalised factorial moment; Factorial moments
In probability theory, the factorial moment is a mathematical quantity defined as the expectation or average of the falling factorial of a random variable. Factorial moments are useful for studying non-negative integer-valued random variables,D.
Factorial moment generating function
MATHEMATICAL TERM
Factorial moment-generating function
In probability theory and statistics, the factorial moment generating function (FMGF) of the probability distribution of a real-valued random variable X is defined as
Factorial
![[[Relative error]] in a truncated Stirling series vs. number of terms](https://commons.wikimedia.org/wiki/Special:FilePath/Stirling series relative error.svg?width=200 "[[Relative error]] in a truncated Stirling series vs. number of terms")
![TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)](https://commons.wikimedia.org/wiki/Special:FilePath/Vintage Texas Instruments Model SR-50A Handheld LED Electronic Calculator, Made in the USA, Price Was $109.50 in 1975 (8715012843).jpg?width=200 "TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)")
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial:
