The Inverse Chi distribution

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Description

Density, distribution function, quantile function and random generation for the inverse chi distribution with parameters a and b.

Usage

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dinvchi(x, a, b)

pinvchi(x, a, b)

qinvchi(p, a, b)

rinvchi(n, a, b)

Arguments

x

vector of quantities.

a

first parameter. Must be strictly positive.

b

second parameter. Must be strictly positive.

p

vector of probabilities.

n

number of observations.

Note

If X~Inv-Chi(a,b) then it has density f(x)=2b^ax^(-2*a-1)e^(-b/x^2)/Gamma(a). Also 1/X^2~Gamma(a,b).

Examples

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dinvchi(1, 2, 2)
pinvchi(1, 2, 2)
qinvchi(0.95, 2, 2)
rinvchi(1, 2, 2)

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