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Cumulative distribution function the cumulative distribution function ( cdf) of the gamma distribution is p = f ( x | a, b) = 1 b a γ ( a) ∫ 0 x t a − 1 e − matlab t b d t. a scalar input is expanded to gamma pdf matlab a constant matrix with the same dimensions as matlab the other inputs. description y = pdf ( name, x, a) returns the gamma pdf matlab probability density function ( pdf) for the one- parameter distribution family specified by name and the distribution parameter a, evaluated at the values in x. description gampdf ( x, a, b) computes the gamma pdf at each of the values in x using the corresponding parameters in a and b. 7725 evaluate several values of the gamma function between [ - 3.
a generalized gamma random variable x with scale parameter a, and shape parameters b, and g has probability density function g gxgb− 1e− ( x/ a) f ( x) = agbg( b) x > 0. examples collapse all evaluate gamma function evaluate the gamma function with a scalar and a vector. syntax y = gamma ( x) description example y = gamma ( x) returns the gamma function evaluated at the elements of x. example y = gampdf ( x, a, b) returns the pdf of the gamma distribution with the shape parameter a and the scale parameter b, evaluated at the values in x. the pdf of the gamma distribution is y = f ( x | a, b) = 1 b a γ ( a) x a − 1 e − x b, where γ ( · ) is the gamma function. for an example, see compute gamma distribution pdf. matlab y = gampdf ( x, a) returns the probability density function ( pdf) of the standard gamma distribution with the shape parameter a, evaluated at the values in x. examples collapse all compute gamma pdf.
vector or matrix inputs for x, a, and b must all be the same size. the probability density function with three different parameter combinations is illustrated below. 5), which is equal to π.
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