View source: R/auxiliary_functions.R
Delta | R Documentation |
Computes the laplacians of a discrete function
Delta(k, L, p)
k |
Maximum order of the laplacian |
L |
Support of the function |
p |
Discrete function represented as a vector |
Returns a matrix with the laplacians (-1)^j\Delta^j (p(l))
of vector p
for j
in 1,\ldots,k
and l
in 0,\ldots,L
.
Jade Giguelay
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)
kKnot
p=dSpline(k=3, supp=20)
M=Delta(3, 20, p)
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