Delta: Discrete laplacian

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

View source: R/auxiliary_functions.R

Description

Computes the laplacians of a discrete function

Usage

1
Delta(k, L, p)

Arguments

k

Maximum order of the laplacian

L

Support of the function

p

Discrete function represented as a vector

Value

Returns a matrix with the laplacians (-1)^jΔ^j (p(l)) of vector p for j in 1,…,k and l in 0,…,L.

Author(s)

Jade Giguelay [email protected] http://maiage.jouy.inra.fr/jgiguelay

References

Knopp K. (1925), <DOI:10.1007/BF01479598> Mehrfach monotone Zahlenfolgen, Mathematische Zeitschrift, 22, 75–85

Giguelay, J., (2016), Estimation of a discrete distribution under k-monotony constraint, in revision, (arXiv:1608.06541)

See Also

kKnot

Examples

1
2
p=dSpline(k=3, supp=20)
M=Delta(3, 20, p)

pkmon documentation built on May 29, 2017, 8:35 p.m.