Abstract
Recently, large catalogues of earthquake focal mechanisms have become available. The question now arises of whether the statistical methods are applicable to this type of catalogues. In this paper we discuss the problem and introduce probability density function and dispersion for focal mechanisms set, where a focal mechanism tensor is treated as a random object. The procedure of numerical simulation of random focal mechanism tensors is proposed. We also describe the process of numerical simulation of a set of random focal mechanism tensors corresponding to the given probability density function.
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References
Danilova, M.A. and Yunga S.L. (1990) Statistical properties of matrixes in problems of interpretation of earthquakes focal mechanisms, Izv. Acad. Sci. USSR, Phys. Solid Earth 2, 42–48.
Moran P.A.P. (1975) Quaternions, Haar Measure and the Estimation of a Palaeomagnetic Rotation, Perspectives in probability and statistics, Academic press inc., London.
Kagan, Y.Y. and Knopoff, L. (1985) The first order statistical moment of the seismic moment tensor, Geophys. J.R. astron. Soc. 81, 429–444.
Kendall, M.G. and Moran P.A.P. (1963) Geometrical probabilities, Hafner, New-York.
Klein, F. (1932) Elementary Mathematics from an Advanced Standpoint. Vol. I. Arithmetic, Algebra, Analysis. Macmillan, London.
Lukk, A.A. and Yunga, S.L. (1989) Geodymnamic and stress strained state of lithosphere of Middle Asia, Donish, Dushanbe.
Yunga, S.L. (1990) Methods and results of study of seismotectonic deformations, Nauka, Moscow
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© 1996 Kluwer Academic Publishers
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Tyuleneva, S.G., Yunga, S.L. (1996). Dispersion and Probability Density Function for Focal Mechanism Tensors. In: Schenk, V. (eds) Earthquake Hazard and Risk. Advances in Natural and Technological Hazards Research, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0243-5_7
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DOI: https://doi.org/10.1007/978-94-009-0243-5_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6592-4
Online ISBN: 978-94-009-0243-5
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