On the Convergence of Poisson Binomial to Poisson Distributions
Chen, Louis H. Y.
Ann. Probab., Tome 2 (1974) no. 6, p. 178-180 / Harvested from Project Euclid
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It is well known that under certain conditions, binomial distributions converge to Poisson distributions. Simons and Johnson (1971) showed that the convergence is actually much stronger than in the usual sense. In this note the author shows that the result of Simons and Johnson is also true for Poisson binomial distributions which include binomial distributions as special cases.
Publié le : 1974-02-14
Classification:  Poisson distribution,  Poisson binomial distribution,  Poisson convergence,  60F05,  62E99 
@article{1176996766,
     author = {Chen, Louis H. Y.},
     title = {On the Convergence of Poisson Binomial to Poisson Distributions},
     journal = {Ann. Probab.},
     volume = {2},
     number = {6},
     year = {1974},
     pages = { 178-180},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996766}
}

Chen, Louis H. Y. On the Convergence of Poisson Binomial to Poisson Distributions. Ann. Probab., Tome 2 (1974) no. 6, pp.  178-180. http://gdmltest.u-ga.fr/item/1176996766/