Description Usage Arguments Details Value Author(s) See Also Examples
Computes the Hermite expansion terms used in the likelihood of a distance analysis. More generally, will compute a Hermite expansion of any numeric vector.
1  hermite.expansion(x, expansions)

x 
In a distance analysis, 
expansions 
A scalar specifying the number of expansion terms to compute. Must be one of the integers 1, 2, 3, or 4. 
There are, in general, several expansions that can be called Hermite. The Hermite expansion used here is:
First term:
h1(x) = x^4  6*(x)^2 +3,
Second term:
h2(x) = (x)^6  15*(x)^4 + 45*(x)^2  15,
Third term:
h3(x) = (x)^8  28*(x)^6 + 210*(x)^4  420*(x)^2 + 105,
Fourth term:
h4(x) = (x)^10  45*(x)^8 + 630*(x)^6  3150*(x)^4 + 4725*(x)^2  945,
The maximum number of expansion terms computed is 4.
A matrix of size length(x)
X expansions
. The columns of this matrix are the Hermite polynomial expansions of x
.
Column 1 is the first expansion term of x
, column 2 is the second expansion term of x
, and so on up to expansions
.
Trent McDonald, WEST Inc. tmcdonald@westinc.com Aidan McDonald, WEST Inc. aidan@mcdcentral.org
dfuncEstim
, cosine.expansion
, simple.expansion
, and the discussion
of user defined likelihoods in dfuncEstim
.
1 2 3 4  set.seed(83828233)
x < rnorm(1000) * 100
x < x[0 < x & x < 100]
herm.expn < hermite.expansion(x, 3)

Rdistance (version 1.3.2)
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