illustrateCLT

0th

Percentile

Functions for Illustrating the CLT

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.

Keywords
methods, distribution, dynamic
Usage
illustrateCLT(Distr, len, sleep = 0)
illustrateCLT.tcl(Distr, k, Distrname)
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
Details

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

Value

  • void

concept

  • illustration
  • teaching
  • CLT

See Also

plotCLT

Aliases
  • illustrateCLT
  • illustrateCLT.tcl
Examples
distroptions("DefaultNrFFTGridPointsExponent" = 13)
illustrateCLT(Distr = Unif(), len = 20)
distroptions("DefaultNrFFTGridPointsExponent" = 12)
illustrateCLT(Distr = Pois(lambda = 2), len = 20)
distroptions("DefaultNrFFTGridPointsExponent" = 13)
illustrateCLT(Distr = Pois(lambda = 2)+Unif(), len = 20)
illustrateCLT.tcl(Distr = Unif(), k = 4, "Unif()")
Documentation reproduced from package distrEx, version 1.9, License: GPL (version 2 or later)

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