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@article{DMPS_2005_25_2_a1, author = {Ale\v{s}kevi\v{c}ien\.{e}, Aldona and Statulevi\v{c}ius, Vytautas}, title = {Approximation by {Poisson} law}, journal = {Discussiones Mathematicae. Probability and Statistics}, pages = {161--179}, publisher = {mathdoc}, volume = {25}, number = {2}, year = {2005}, zbl = {1102.62013}, language = {en}, url = {http://geodesic.mathdoc.fr/item/DMPS_2005_25_2_a1/} }
TY - JOUR AU - Aleškevičienė, Aldona AU - Statulevičius, Vytautas TI - Approximation by Poisson law JO - Discussiones Mathematicae. Probability and Statistics PY - 2005 SP - 161 EP - 179 VL - 25 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMPS_2005_25_2_a1/ LA - en ID - DMPS_2005_25_2_a1 ER -
Aleškevičienė, Aldona; Statulevičius, Vytautas. Approximation by Poisson law. Discussiones Mathematicae. Probability and Statistics, Tome 25 (2005) no. 2, pp. 161-179. http://geodesic.mathdoc.fr/item/DMPS_2005_25_2_a1/
[1] A. Aleskeviciene, Probabilities of large deviations in approximation by the Poisson law, Lithuanian Math. J. 28 (1988), 3-13.
[2] A. Aleskeviciene and V. Statulevicius, Asymptotic expansions in the approximation by the Poisson law, Lithuanian Math. J. 34 (1996), 1-21.
[3] A. Aleskeviciene and V. Statulevicius, Large deviations in approximation by Poisson law, Probability Theory and Mathematical Statistics. Proceedings of the Sixth Vilnius Conference, VSP, Utrecht/TEV, Vilnius 1994, 1-18.
[4] A. Aleskeviciene and V. Statulevicius, Large deviations in power zones in the approximation by the Poisson law, Uspekhi Mathem. Nauk 50 (1995), 63-82.
[5] A. Aleskeviciene and V. Statulevicius, Large deviations in the approximation by Poisson law, Probab. Theory Appl. 46 (2001), 625-639.
[6] A. Aleskeviciene and V. Statulevicius, Theorems of large deviations in the approximation by the compound Poisson distribution, Acta Applicandae Mathematicae 78 (2003), 21-34.
[7] A. Aleskeviciene and V. Statulevicius, On the inverse formula in the case of the discontinuous limit law, Probab. Theory Appl. 42 (1) (1997), 3-20.
[8] A.D. Barbour, Asymptotic expansions in the Poisson limit theorem, Ann. Probab. 15 (1987), 748-766.
[9] H.Y. Chen Louis and R.P. Choi, Some asymptotic and large deviations results in Poisson approximation, Ann. Probab. 20 (1992), 1867-1876.
[10] P. Deheuvels, Large deviations by Poisson approximations, J. Statist. Planning Inference 32 (1992), 75-88.
[11] P. Franken, Approximation der Verteilungen von Summen unabhangiger nichtnegativer ganzahliger Zuffallsgrossen duren Poissonsche Verteilungen, Mathematische Nachrichten 27 (1964), 303-340.
[12] J. Macys, Stability of decomposition into components of a discontinuous distribution function in uniform metric, Lithuanian Mathem. J. 35 (1995), 105-117.
[13] S.Ya. Shorgin, Approximation of generalized binoaminal distribution, Probab. Theory Appl. 22 (1977), 867-871.
[14] L. LeCam, An approximation theorem for the Poisson binomial distribution, Pacific J. Math. 10 (1960), 1181-1197.
[15] R.J. Serfling, A general Poisson approximation theorem, Ann. Probab. 3 (1975), 726-731.
[16] B.V. Gnedenko and A.N. Kolmogorov, Limit distribution for sums of independent random variables, Addison-Wesley, Reading 1954.