# illustrateCLT

From distrEx v1.9
by Matthias Kohl

##### 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

##### 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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