On the resolution of a mixture of observations from two modified power series distributions
Título del documento: On the resolution of a mixture of observations from two modified power series distributions
Revista: Revista colombiana de matemáticas
Base de datos: PERIÓDICA
Número de sistema: 000045270
ISSN: 0034-7426
Autores: 1
Instituciones: 1Yarmouk University, Department of Mathematics, Irbid. Jordania
Año:
Periodo: Sep
Volumen: 14
Número: 3
Paginación: 197-208
País: Colombia
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés 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 eachobservation, 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
Disciplinas: Matemáticas
Palabras clave: Matemáticas puras,
Probabilidad,
Estadística,
Variables aleatorias,
Funciones de distribución,
Distribuciones discretas,
Estimación,
Distribución mezclada,
Distribución de Poisson,
Distribución binomial negativa
Keyword: Mathematics,
Pure mathematics,
Probability,
Statistics,
Random variables,
Distribution functions,
Discrete distributions,
Estimation,
Mixture distribution,
Poisson distribution,
Negative binomial distribution
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