Article PDF
Avoid common mistakes on your manuscript.
References
Chen, Louis H. Y.: On the convergence of Poisson binomial to Poisson distributions. Ann. Probability 2, 178–180 (1974)
Chen, Louis H. Y.: Poisson approximation for dependent trials. Ann. Probability 3, in press (1975)
Hodges, J.L., LeCam, L.: The Poisson approximation to the Poisson binomial distribution. Ann. Math. Statist. 31, 737–740 (1960)
Hoeffding, W.: A combinatorial limit theorem. Ann. Math. Statist. 22, 558–566 (1951)
Kerstan, J.: Verallgemeinerung eines Satzes von Prochorow und LeCam. Z. Wahrscheinlichkeitstheorie verw. Gebiete 2, 173–179 (1964)
LeCam, L.: An approximation theorem for the Poisson binomial distribution. Pacific J. Math. 10, 1181–1197 (1960)
Noether, G. E.: On a theorem by Wald and Wolfowitz. Ann. Math. Statist. 20, 455–458 (1949)
Prohorov, J. V.: Asymptotic behavior of the binomial distribution. Uspehi Mat. Nauk. 8, 135–142 (1953)
Robinson, J.: A converse to a combinatorial limit theorem. Ann. Math. Statist. 43, 2053–2057 (1972)
Vervaat, W.: Upper bounds for the distance in total variation between the binomial or negative binomial and the Poisson distribution. Statistica Neerlandica 23, 79–86 (1969)
Wald, A., Wolfowitz, J.: Statistical tests on permutations of observations. Ann. Math. Statist. 15, 358–372 (1944)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chen, L.H.Y. An approximation theorem for sums of certain randomly selected indicators. Z. Wahrscheinlichkeitstheorie verw Gebiete 33, 69–74 (1975). https://doi.org/10.1007/BF00539864
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00539864