On some general distributions in terms of generalized functions

In this paper, a general distribution derived from a generalized Bessel function, together with a generalized Beta distribution are discussed. An alternate method for obtaining the distribution of the sum of n independent random variables for the first distribution is obtained. Three of the paramete...

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Autores:
Lingappaiah, G. S.
Tipo de recurso:
Article of journal
Fecha de publicación:
1978
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42538
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42538
http://bdigital.unal.edu.co/32635/
Palabra clave:
Bessel function
alternative
sum distribution
independent random variables
beta distribution
generalized hypergeometric function
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:In this paper, a general distribution derived from a generalized Bessel function, together with a generalized Beta distribution are discussed. An alternate method for obtaining the distribution of the sum of n independent random variables for the first distribution is obtained. Three of the parameters in this distribution are estimated by different methods under certain conditions. Distribution of maxima and mínima are also considered. For the generalized Beta distribution, esti mates are put in closed form in terms of the generalized hypergeometric function FA.