distrTeach (version 2.9.1)

illustrateCLT: Functions for Illustrating the CLT

Description

Functions for generating a sequence of plots of the density and cdf of the consecutive standardized and centered sums of iid r.v. distributed according to a prescribed discrete or absolutely continuous distribution compared to the standard normal --- uses the generic function plotCLT.

Usage

illustrateCLT(Distr, len, sleep = 0)
illustrateCLT.tcl(Distr, k, Distrname)

Value

void

Arguments

Distr

object of class "AbscontDistribution", "LatticeDistribution" or "DiscreteDistribution": distribution of the summands

len

integer: up to which number of summands plots are generated

k

integer: number of summands for which a plot is to be generated

Distrname

character: name of the summand distribution to be used as title in the plot

sleep

numeric: pause in seconds between subsequent plots

Author

Matthias Kohl
Peter Ruckdeschel

Details

illustrateCLT generates a sequence of plots, while illustrateCLT.tcl may be used with Tcl/Tk-widgets as in demo illustCLT_tcl.R.

References

Kohl, M., Ruckdeschel, P., (2014): General purpose convolution algorithm for distributions in S4-Classes by means of FFT. J. Statist. Softw. 59(4): 1-25.

See Also

plotCLT

Examples

distroptions("DefaultNrFFTGridPointsExponent" = 13)
illustrateCLT(Distr = Unif(), len = 10)
distroptions("DefaultNrFFTGridPointsExponent" = 12)
illustrateCLT(Distr = Pois(lambda = 2), len = 10)
distroptions("DefaultNrFFTGridPointsExponent" = 13)
illustrateCLT(Distr = Pois(lambda = 2)+Unif(), len = 10)
illustrateCLT.tcl(Distr = Unif(), k = 4, "Unif()")