Autore:
E. Orsingher, M. D'Ovidio
Abstract:
In this paper we introduce new distributions which are solutions of higher-order Laplace equations. It is proved that their densities can be obtained by folding and symmetrizing Cauchy distributions. Another class of probability laws related to higher-order Laplace equations is obtained by composing pseudo-processes with positively-skewed Cauchy distributions which produce asymmetric Cauchy densities in the odd-order case. A special attention is devoted to the third-order Laplace equation where the connection between the Cauchy distribution and the Airy functions is obtained and analyzed.
Tipo di pubblicazione:
Rapporto Tecnico
Codice Pubblicazione:
3
Allegato Pubblicazione:
Contatto:
ISSN:
2279-798X