Description Usage Arguments Value Note Author(s) References See Also Examples

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 scale parameter *a*,
*gamma(mu; a)*, with the normal density
*fn(x;mu,s)* with mean *mu* and standard deviation
*s*.

1 | ```
beta.laplace(x, s = 1, a = 0.5)
``` |

`x` |
the value or vector of data values |

`s` |
the value or vector of standard deviations; if vector, must
have the same length as |

`a` |
the scale 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.

Bernard Silverman

See `ebayesthresh`

and
http://www.bernardsilverman.com

1 2 | ```
beta.laplace(c(-2,1,0,-4,8,50), s=1)
beta.laplace(c(-2,1,0,-4,8,50), s=1:6, a=1)
``` |

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