# pp.plot: von Mises Probability-Probability Plot In circular: Circular Statistics

## Description

Plots the empirical distribution of a data set against the best fitting von Mises distribution function.

## Usage

 ```1 2``` ```pp.plot(x, ref.line = TRUE, tol=1e-20, xlab = "von Mises Distribution", ylab = "Empirical Distribution", control.circular = list(), ...) ```

## Arguments

 `x` a vector. The object is coerced to class `circular`. `ref.line` logical, if TRUE a 45 degree reference line is added to the plot. Default is TRUE. `tol` parameter passed to `pvonmises`. `xlab, ylab` labels of the axis. `control.circular` the attribute of the resulting object. `...` parameters passed to the `plot.default` function.

## Details

The maximum likelihood estimates of the parameters of the von Mises distribution are computed from the given data set. The empirical distribution function is plotted against a von Mises distribution function with parameters given by the MLEs computed.

## Value

a list with the estimated mean and concentration parameter for a von Mises distribution.

## Author(s)

Claudio Agostinelli and Ulric Lund

## References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Section 10.2, World Scientific Press, Singapore.

`mle.vonmises`

## Examples

 ```1 2 3 4 5``` ```x <- rvonmises(n=25, mu=circular(0), kappa=3) pp.plot(x) x <- c(rvonmises(n=20, mu=circular(0), kappa=7), rvonmises(n=20, mu=circular(pi), kappa=7)) pp.plot(x) ```

### Example output  ```Attaching package: 'circular'

The following objects are masked from 'package:stats':

sd, var
```

circular documentation built on May 1, 2019, 7:57 p.m.