%0 Generic %1 pitman2016direct %A Pitman, E. J. G. %A Pitman, Jim %D 2016 %K characteristic_function fourier_transform slowly_varying_functions stable_distributions %T A direct approach to the stable distributions %U http://arxiv.org/abs/1604.07350 %X The explicit form for the characteristic function of a stable distribution on the line is derived analytically by solving the associated functional equation and applying theory of regular variation, without appeal to the general Lévy-Khintchine integral representation of infinitely divisible distributions.

@misc{pitman2016direct, abstract = {The explicit form for the characteristic function of a stable distribution on the line is derived analytically by solving the associated functional equation and applying theory of regular variation, without appeal to the general L\'evy-Khintchine integral representation of infinitely divisible distributions.}, added-at = {2018-02-12T21:03:16.000+0100}, author = {Pitman, E. J. G. and Pitman, Jim}, biburl = {https://www.bibsonomy.org/bibtex/29f11aa2c7d3405d7ed07cd9c7d081b44/peter.ralph}, interhash = {556d1908c9845efb7c636a6ba046ca0c}, intrahash = {9f11aa2c7d3405d7ed07cd9c7d081b44}, keywords = {characteristic_function fourier_transform slowly_varying_functions stable_distributions}, timestamp = {2018-02-12T21:03:16.000+0100}, title = {A direct approach to the stable distributions}, url = {http://arxiv.org/abs/1604.07350}, year = 2016 }