This paper analyses the goodness of Poisson aroximation to the binomial distribution with parameters n and p. In order to stress the importance of the smallness of p to obtain a good aroximation, the relative error is analysed when p is fixed and n tends to infinity. We find the relative error pointwise limit and its asymptotic distribution; we also show that the asymptotic mean relative error gives an aroximation of the mean relative error. Finally we give numerical estimates of all these aroximations.

On the poisson-binomial relative error

ANTONELLI, Sabrina;REGOLI, Giuliana
2005

Abstract

This paper analyses the goodness of Poisson aroximation to the binomial distribution with parameters n and p. In order to stress the importance of the smallness of p to obtain a good aroximation, the relative error is analysed when p is fixed and n tends to infinity. We find the relative error pointwise limit and its asymptotic distribution; we also show that the asymptotic mean relative error gives an aroximation of the mean relative error. Finally we give numerical estimates of all these aroximations.
2005
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/153029
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact