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wandafromx |
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Find Empirical Bayes Weight and scale factor from Data |
DESCRIPTION
Given a vector of data, find the marginal maximum
likelihood choice of weight and scale factor under the Laplace prior.
USAGE
[w,a] = wandafromx(x)
REQUIRED ARGUMENTS
| x | a vector of data |
OPTIONAL ARGUMENTS
None
VALUE
w The estimated weight
a The estimated scale factor
BACKGROUND
The parameters are found by marginal maximum
likelihood. The search is over weights corresponding to thresholds in the
range [0, sqrt(2 log n)], where n=length(x) .Ê
The search uses a nonlinear optimization routine (aconstr) to minimize
the auxiliary function negloglik.laplace. The range over which the scale factor is searched is
(0.04, 3).
SEE ALSO
EXAMPLES
[weight,scale]
= wandafromx(x)