info:eu-repo/semantics/report
Poisson Approximation to Power Series Distribution
Autor
VICTOR MANUEL PEREZ ABREU CARRION
Institución
Resumen
The purpose of this article is to provide a simple proof for the
Poisson approximation to power series distributions. As special ·
cases we obtain the well known Poisson approximations to the
binomial and negative binomial distributions. The proof is based
on the continuity theorem for probability generating functions
presented in Feller ( 1968). The result illustrates one
justification to use Poisson models as suitable descriptions of
phenomena which are cumulative effect of a large number of
improbable events.
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