Stability estimates are obtained for decompositions of the composition of Gaussian and Poisson distribution functions which are sharp in the sense of order in the uniform metric; also obtained are two-sided stability estimates of decompositions of these distribution functions in the Levi metric, which are in some sense close to the sharp ones.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 87, pp. 164–186, 1979.
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Chistyakov, G.P. Stability estimates for decompositions of the composition of Gaussian and Poisson distributions. J Math Sci 17, 2337–2351 (1981). https://doi.org/10.1007/BF01085931
- Distribution Function
- Poisson Distribution
- Stability Estimate
- Poisson Distribution Function