Given a single value or a vector of x and s, find the value(s) of the function beta(x;s,a) = g(x;s,a)/fn(x;0,s) - 1 , where fn(x;0,s) is the normal density with mean 0 and standard deviation s, and g is the convolution of the Laplace density with inverse scale (rate) parameter a, gamma(mu; a), with the normal density fn(x;mu,s) with mean mu and standard deviation s.
beta.laplace(x, s = 1, a = 0.5)
Vector of data values.
Value or vector of standard deviations; if vector, must
have the same length as
Inverse scale (i.e., rate) parameter of the Laplace distribution.
A vector of the same length as
x is returned,
containing the value(s) beta(x).
The Laplace density is given by gamma(u) = (a/2) exp(-a|u|) and is also known as the double exponential density.
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