internals_for_distrMod: Internal functions of package distrMod

Description

These functions are used internally by package ``distrMod''.

Usage

.inArgs(arg, fct)
.isUnitMatrix(m)
.csimpsum(fx)
.validTrafo(trafo, dimension)
.CvMMDCovariance(L2Fam, param, mu = distribution(L2Fam), expon=3, 
                 withplot = FALSE, withpreIC = FALSE,
                 N = getdistrOption("DefaultNrGridPoints")+1, ...)
.show.with.sd(est, s)
.getLogDeriv(distr)

Arguments

arg

a formal argument as character

fct

a function

a matrix

est

an estimator; usually a vector

a standard deviation

trafo

an object of class MatrixorFunction

dimension

a numeric

L2Fam

an object of class L2ParamFamily --- for which we want to determine the IC resp. the as. [co]variance of the corresponding Minimum CvM estimator

param

an object of class ParamFamParameter, the parameter value at which we want to determine the IC resp. the as. [co]variance of the corresponding Minimum CvM estimator

an object of class UnivariateDistribution: integration measure (resp. distribution) for CvM distance

expon

a numeric: number to exponentiate getdistrOption("TruncQuantile") to get upper and lower $\mu$- resp. $P_\theta$-quantiles for the gridpoints (see below)

withplot

logical: shall we plot corresponding ICs?

withpreIC

logical: shall we return a list with components preIC and var or just var; here var is the corresponding asymptotic variance and preIC the corresponding EuclRandVa

a numeric: the number of gridpoints for constructing the $\mu$- resp. $P_\theta$-``primitive'' function

a vector of function evaluations multiplied by the gridwidth

distr

an object of class AbscontDistribution

...

further argument to be passed through --- so .CvMMDCovariance can digest more arguments

Value

.getLogderiva function in one argument x --- the negative logarithmic derivative of the density
.inArgslogical (length 1)
.csimpsumnumeric (of length half the input length)
.isUnitMatrixlogical (length 1)
.validTrafological (length 1)
.CvMMDCovariancecorresponding as. [co]variance of the corresponding Minimum CvM estimator or list withcomponents preIC and var ---see above
.show.with.sdinvisible()

concept

utilities

Details

.inArgs (borrowed from package distr) checks whether an argument arg is a formal argument of fct --- not vectorized. .csimpsum (borrowed from package distr) produces a primitimive function out of function evaluations by means of vectorized Simpson quadrature method, returning already the function values of the prime function on a grid; it is to mimick the behaviour of cumsum. .isUnitMatrix checks whether the argument is a unit matrix. .validTrafo checks whether the argument is a valid transformation. .CvMMDCovariance determines the IC resp. the as. [co]variance of the corresponding Minimum CvM estimator. Still some checking / optimization / improvement needed. .show.with.sd is code borrowed from print.fitdistr in package MASS by B.D. Ripley. It pretty-prints estimates with corresponding sd's below. .getLogDeriv determines numerically the negative logarithmic derivative of the density of distribution distr; to this end uses D1ss, D2ss from Martin Maechler's package sfsmisc.