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### Highlights from Kernel smoothing density estimate for circular data

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# Kernel smoothing density estimate for circular data

20 Aug 2011 (Updated )

Provides various methods to smooth circular data.

File Information
Description

This is a companion to Matlab's Statistics toolbox ksdensity function and Philipp Berens' CircStat toolbox.
The difference with Matlab's ksdensity function is that this function is adaped to circular data, such as wind orientation. Using Matlab's function will give biased values at the extremities of the pdf for circular data.

The kernel used in this function is a normal distribution with an automatically computed optimal standard deviation as presented in:
- Silverman B. W. (1998), Density Estimation for Statistics and Data Analysis, Chapman & Hall / CRC, Boca Raton (FL), 47-8.
- Bowman Adrian W. & Adelchi Azzalini (1997) - Applied Smoothing Techniques for Data Analysis, Oxford University Press, 31.
- Wand M. P. & M. C. Jones (1995) - Kernel Smoothing, Chapman & Hall, London, 60-3.

Acknowledgements

Circular Statistics Toolbox (Directional Statistics) inspired this file.

Required Products Statistics and Machine Learning Toolbox
MATLAB
MATLAB release MATLAB 7.10 (R2010a)
MATLAB Search Path
`/`
Other requirements Optional: CircStat toolbox for circular data by Philipp Berens. See description in file for details.
23 Oct 2013 Dylan Muir

### Dylan Muir (view profile)

A couple of issues with this function: firstly, the circular stats toolbox functions called by this function assume radians as input, while this function uses degrees in its examples.

Secondly, this function requires that the vector of angles over which to calculate the kernel density estimate is identical to the domain of periodicity. If this condition is not satisfied, the function fails badly. This requirement should at the very least be mentioned in the help, and ideally removed entirely.

Comment only
22 Aug 2011 1.1

Modified screenshot.

09 Mar 2012 1.3