Modelling complex geological circular data with the projected normal distribution and mixtures of von Mises distributions

Lark, R.M.; Clifford, D.; Waters, C.N.. 2014 Modelling complex geological circular data with the projected normal distribution and mixtures of von Mises distributions. Solid Earth, 5 (2). 631-639. 10.5194/se-5-631-2014

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Official URL: http://dx.doi.org/10.5194/se-5-631-2014

Abstract/Summary

Circular data are commonly encountered in the earth sciences and statistical descriptions and inferences about such data are necessary in structural geology. In this paper we compare two statistical distributions appropriate for complex circular data sets: the mixture of von Mises and the projected normal distribution. We show how the number of components in a mixture of von Mises distribution may be chosen, and how one may choose between the projected normal distribution and the mixture of von Mises for a particular data set. We illustrate these methods with a few structural geological data, showing how the fitted models can complement geological interpretation and permit statistical inference. One of our data sets suggests a special case of the projected normal distribution which we discuss briefly.

Item Type:	Publication - Article
Digital Object Identifier (DOI):	10.5194/se-5-631-2014
ISSN:	1869-9529
Date made live:	11 Aug 2014 09:13 +0 (UTC)
URI:	https://nora.nerc.ac.uk/id/eprint/508045

Item Type:

Publication - Article

Digital Object Identifier (DOI):

10.5194/se-5-631-2014

ISSN:

1869-9529

Date made live:

11 Aug 2014 09:13 +0 (UTC)

URI:

https://nora.nerc.ac.uk/id/eprint/508045