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mable (version 4.1.1)

madem.copula: Minimum Approximate Distance Estimate of Copula with given model degrees

Description

Minimum Approximate Distance Estimate of Copula with given model degrees

Usage

madem.copula(u, m)

Value

An invisible mable object with components

  • m the given degree

  • p the estimated vector of mixture proportions \(p = (p_0, \ldots, p_m)\) with the given degree m

  • D the minimum distance at degree m

Arguments

u

an n x d matrix of (pseudo) observations.

m

d-vector of model degrees

Details

With given model degrees m, the parameters p, the mixing proportions of the beta distribution, are calculated as the minimizer of the approximate \(L_2\) distance between the empirical distribution and the Bernstein polynomial model.