On the resolution of a mixture op observations from two modified power series distributions

The modified power series distributions (MPSD) introduced by Gupta (1974) includes a number of the well known discrete distributions. In this note we assume that a sample of N observations is available and that it consists of N1 observations from a MPSD and N2 observations from another MPSD. The max...

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Autores:
Abu-Salih, M. S.
Tipo de recurso:
Article of journal
Fecha de publicación:
1980
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42619
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42619
http://bdigital.unal.edu.co/32716/
Palabra clave:
Modified power series distributions
introduced by Gupta
maximum likelihood method
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:The modified power series distributions (MPSD) introduced by Gupta (1974) includes a number of the well known discrete distributions. In this note we assume that a sample of N observations is available and that it consists of N1 observations from a MPSD and N2 observations from another MPSD. The maximum likelihood method is used to identify the population of origin of  each observation, and to estimate the mean and parameter of that population. Special cases are dealt with in detail. The variance of the estimate of Ni, i = 1,2, is derived.