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Runs Monte Carlo simulation to investigate the optimal number of points to use when one of the reduced spacing schemes is considered.

Usage

ComputeBest_tau(AlphaBetaMatrix = abMat, nb_ts = seq(10, 100, 10),
                tScheme = c("uniformOpt", "ArithOpt"),
                Constrained = TRUE, alphaReg = 0.001, ...)

Arguments

AlphaBetaMatrix

values of the parameter \(\alpha\) and \(\beta\) from which we simulate the data. By default, the values of \(\gamma\) and \(\delta\) are set to 1 and 0, respectively; a \(2 \times n\) matrix.

nb_ts

vector of number of t-points to use for the minimisation; default = seq(10,100,10).

tScheme

scheme used to select the points where the moment conditions are evaluated, one of "uniformOpt" (uniform optimal placement) and "ArithOpt" (arithmetic optimal placement). See function GMMParametersEstim.

Constrained

logical flag: if set to True, lower and upper bands will be computed as discussed for function GMMParametersEstim.

alphaReg

value of the regularisation parameter; numeric, default = 0.001.

...

Other arguments to pass to the optimisation function.

Value

a list containing slots from class Best_t-class corresponding to one value of the parameters \(\alpha\) and \(\beta\).