An approximation theorem for the Poisson binomial distribution.
Lucien Le Cam
Source: Pacific J. Math. Volume 10, Number 4
(1960), 1181-1197.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1103038058
Zentralblatt MATH identifier: 0118.33601
Mathematical Reviews number (MathSciNet): MR0142174
References
[1] W. Doeblin, Sur les sommes d'un grand nombre de variables aleatoires indpendantes, Bull, des Sciences Mathematiques, 53, Paris (1939), 23-32.
[2] Nelson Dunford and Jacob T. Schwartz, Linear operators, Part I. General theory, In- terscience Publishers, New York, 1958.
Mathematical Reviews (MathSciNet): MR22:8302
Zentralblatt MATH: 0084.10402
[3] Einar Hille and Ralph S. Phillips, Functional analysis and semi groups, Amer. Math- Soc. Coll. Publ. 31, Providence, R. I. 1957.
Mathematical Reviews (MathSciNet): MR19:664d
Zentralblatt MATH: 0033.06501
[4] J. L. Hodges, Jr. and Lucien Le Cam, The Poisson approximationto the Poisson
[5] A. Khintchine, Asymptotische Gesetze der Wahrscheinlichkeitsrechnung, Ergebnisse der Mathematik und ihrer grenzgebiete, Julius Springer, Berlin, 1933.
Zentralblatt MATH: 0007.21602
[6] A. N. Kolmogorov, Deux theoremes asymptotiques pour les sommes de variables alatoires (Russian, French summary), Teoriia Veroiatnosteii, 1 (4), Moscow (1956), 426-436.
Mathematical Reviews (MathSciNet): MR19:586b
[7] Paul Levy, Theorie de addition des variables aleatoires, Gauthier-Villars, Paris, 1937.
Mathematical Reviews (MathSciNet): MR83c:01070
[8] M. A. Naimark, Normed rings, Moscow, 1956.
Mathematical Reviews (MathSciNet): MR19:870d
[9] Yu. V. Prohorov, Asymptotic behavior of the binomial distribution (Russian), Uspekhii Matematicheskiikh Nauk, 8 (3), Moscow (1953), 135-142.
Mathematical Reviews (MathSciNet): MR15:138g
Pacific Journal of Mathematics
