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Stability estimates for decompositions of the composition of Gaussian and Poisson distributions

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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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Literature cited

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Additional information

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

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  • Distribution Function
  • Poisson Distribution
  • Stability Estimate
  • Poisson Distribution Function