A Small Circle of Best Fit for Spherical Data and Areas of Vulcanism

K. V. Mardia and R. J. Gadsden

Journal of the Royal Statistical Society Series C, 1977, vol. 26, issue 3, 238-245

Abstract: The paper sets out to investigate a statistical problem in the geophysical field of plate tectonics which amounts to obtaining a small circle of best fit in some sense. We define a small circle of best fit. Using the maximum entropy principle, an appropriate distribution is constructed, leading to the setting up of a confidence zone for this small circle. Finally, detailed analyses for a set of data in the field of plate tectonics and for a set of data concerning secular variation of the palaeomagnetic field are given.

Date: 1977
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