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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 (Applied Statistics)
Vol. 26, No. 3 (1977), pp. 238-245
Published by: Wiley for the Royal Statistical Society
DOI: 10.2307/2346963
Stable URL: http://www.jstor.org/stable/2346963
Page Count: 8
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A Small Circle of Best Fit for Spherical Data and Areas of Vulcanism
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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 plaeomagnetic field are given.

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