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- Factorial_moment_generating_function abstract "In probability theory and statistics, the factorial moment generating function of the probability distribution of a real-valued random variable X is defined as for all complex numbers t for which this expected value exists. This is the case at least for all t on the unit circle , see characteristic function. If X is a discrete random variable taking values only in the set {0,1, ...} of non-negative integers, then is also called probability-generating function of X and is well-defined at least for all t on the closed unit disk .The factorial moment generating function generates the factorial moments of the probability distribution.Provided exists in a neighbourhood of t = 1, the nth factorial moment is given by where the Pochhammer symbol (x)n is the falling factorial(Many mathematicians, especially in the field of special functions, use the same notation to represent the rising factorial.)".
- Factorial_moment_generating_function wikiPageID "4389572".
- Factorial_moment_generating_function wikiPageRevisionID "597940824".
- Factorial_moment_generating_function hasPhotoCollection Factorial_moment_generating_function.
- Factorial_moment_generating_function subject Category:Factorial_and_binomial_topics.
- Factorial_moment_generating_function subject Category:Generating_functions.
- Factorial_moment_generating_function subject Category:Theory_of_probability_distributions.
- Factorial_moment_generating_function type Abstraction100002137.
- Factorial_moment_generating_function type Function113783816.
- Factorial_moment_generating_function type GeneratingFunctions.
- Factorial_moment_generating_function type MathematicalRelation113783581.
- Factorial_moment_generating_function type Relation100031921.
- Factorial_moment_generating_function comment "In probability theory and statistics, the factorial moment generating function of the probability distribution of a real-valued random variable X is defined as for all complex numbers t for which this expected value exists. This is the case at least for all t on the unit circle , see characteristic function.".
- Factorial_moment_generating_function label "Factorial moment generating function".
- Factorial_moment_generating_function label "Funkcja tworząca momenty silni".
- Factorial_moment_generating_function sameAs Funkcja_tworząca_momenty_silni.
- Factorial_moment_generating_function sameAs m.0b_nvs.
- Factorial_moment_generating_function sameAs Q5428741.
- Factorial_moment_generating_function sameAs Q5428741.
- Factorial_moment_generating_function sameAs Factorial_moment_generating_function.
- Factorial_moment_generating_function wasDerivedFrom Factorial_moment_generating_function?oldid=597940824.
- Factorial_moment_generating_function isPrimaryTopicOf Factorial_moment_generating_function.