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Probability generating function

In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass function of the random variable. Probability generating functions are often employed for their succinct description of the sequence of probabilities Pr(X = i) in the probability mass…

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Probability generating function

Nodes42
Edges41
Triples45
Avg. degree1.95
Density0.047619
Components1

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Probability generating function

Top relations

related to Functions of independent random variables · 12
Probability generating function → Assume, For, Galton, If, In, Poisson, Pr, Probability, This, Watson, When, X-Y
related to Probabilities and expectations · 12
Probability generating function → Big, Finally, It, More, Pr, Property, So, That, The, Var, X-1, X-k
related to Examples · 6
Probability generating function → Bernoulli, Note, Poisson, Pr, So, The
related to Multivariate case · 4
Probability generating function → If, The, X1, Xd
related to Power series · 4
Probability generating function → Abel's, In, Probability, So
related to Related concepts · 3
Probability generating function → It, Other, The
related to Univariate case · 3
Probability generating function → If, Note, The
is a · 1
Probability generating function → example of a generating function of a sequence

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displaystyle probability generating function random variable independent power series operatorname functions mass variables sum pr non-negative cdots left right given

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SubjectPredicateObjectConfidenceSrc
Probability generating functionis aexample of a generating function of a sequence0.90text
Probability generating functionrelated to ExamplesThe0.60section
Probability generating functionrelated to ExamplesPr0.60section
Probability generating functionrelated to ExamplesNote0.60section
Probability generating functionrelated to ExamplesBernoulli0.60section
Probability generating functionrelated to ExamplesSo0.60section
Probability generating functionrelated to ExamplesPoisson0.60section
Probability generating functionrelated to Functions of independent random variablesProbability0.60section
Probability generating functionrelated to Functions of independent random variablesFor0.60section
Probability generating functionrelated to Functions of independent random variablesIf0.60section
Probability generating functionrelated to Functions of independent random variablesIn0.60section
Probability generating functionrelated to Functions of independent random variablesX-Y0.60section

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