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penRvine (version 0.2)

bernstein: Flexible Pair-Copula Estimation in D-vines with Penalized Splines

Description

Calculation of Bernstein Polynomials, following the formula (choose(n, v) * x^v * (1 - x)^(n - v)) * (n + 1) .

Usage

bernstein(v,x,n)

Arguments

v
n choose v.
x
Argument between 0 and 1.
n
n choose v.

Value

Returning a matrix, containing Bernstein Polynomials.

References

Flexible Pair-Copula Estimation in D-vines using Bivariate Penalized Splines, Kauermann, G. and Schellhase, C. (2014), Statistics and Computing 24(6): 1081-1100).

Nonparametric estimation of simplified vines: comparison of methods, Nagler N., Schellhase, C. and Czado, C. (2017) Dependence Modeling.