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



Document title: On the resolution of a mixture of observations from two modified power series distributions
Journal: Revista colombiana de matemáticas
Database: PERIÓDICA
System number: 000045270
ISSN: 0034-7426
Authors: 1
Institutions: 1Yarmouk University, Department of Mathematics, Irbid. Jordania
Year:
Season: Sep
Volumen: 14
Number: 3
Pages: 197-208
Country: Colombia
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract 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
Disciplines: Matemáticas
Keyword: 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
Full text: Texto completo (Ver HTML)