Analytical-Numeric Formulas for the Probability Density Function of Multivariate Stable and Geo-Stable Distributions

Hasan Fallahgoul1, S. M. Hashemiparast1, Frank J. Fabozzi2, Lev B. Klebanov3
1Department of Mathematics and Statistics, K. N. Toosi University of Technology, Tehran, Iran
2EDHEC School of Business, Nice, France
3Department of Probability and Mathematical Statistics, Faculty of Mathematics and Physics, Charles University, Sokolovska, Czech Republic

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Abdelrazec A. H. M., 2008, Adomian decomposition method: Convergence analysis and numerical approximation. PhD dissertation

Abdul-Hamid H., 1996, Approximation of multivariate stable densities. PhD dissertation

10.1006/jmva.1998.1755

10.1108/03684921211213179

10.1006/jmva.1993.1044

10.1063/1.1750906

10.1063/1.1723677

10.1006/jmva.2001.2014

10.1016/j.jeconom.2012.08.010

10.1016/j.cnsns.2012.05.016

10.1016/j.camwa.2010.07.027

Engel K. J., 2000, One-parameter semigroups for linear evolution equations

Fallahgoul H., 2012, J. Stat. Econ. Methods, 1, 97

10.1016/j.aml.2012.09.009

Feller W., 1966, An introduction to probability theory and its applications: Volume II

10.1016/S0045-7825(99)00018-3

10.1016/S0020-7462(98)00048-1

10.1016/S0020-7462(98)00085-7

10.1002/num.20567

Klebanov L. B., 2006, Ill-posed problems in probability and stability of random sums

Klebanov L. B., 1984, Teor. Veroyatnost. Primenen, 29, 757

Kozubowski T. J., 1999, J. Comput. Anal. Appli., 1, 349

10.1016/0377-2217(94)90099-X

10.1086/294632

10.1080/03610920500439729

10.1016/j.csda.2005.03.004

10.1103/PhysRevE.59.5026

10.1007/978-1-4684-6778-9_6

Modarres R., 1994, Comput. Stati., 9, 11

10.1016/j.physleta.2007.01.046

10.1080/15326349708807450

10.1080/03610919508813258

10.1002/0470051310

Pisarenko V. F., 2008, arXiv:0805.1635.

Rachev S. T., 2005, Fat tailed and skewed asset return distributions

Rachev S., 2000, Stable Paretian models in finance

Samorodnitsky G., 1994, Stable non-Gaussian random processes

10.1016/j.camwa.2009.03.059

Uchaikin V. V., 2008, Method of fractional derivatives