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An Estimate of Stability of Reconstruction of the Normal Distribution Type

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One of the characterization problems of statistics is reconstruction of types when observations can have different location and/or scale parameters. In these cases, invariant statistics are used, and one of the main problems is uniqueness and stability of the reconstruction. There are a number of works devoted to this problem. In this article, we obtain a new estimate of stability of the normal type. It improves previously obtained estimates.

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Correspondence to A. P. Ushakova.

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Proceedings of the XXXV International Seminar on Stability Problems for Stochastic Models, Perm, Russia, September 24–28, 2018. Part I.

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Ushakova, A.P., Ushakov, N.G. An Estimate of Stability of Reconstruction of the Normal Distribution Type. J Math Sci 246, 560–564 (2020). https://doi.org/10.1007/s10958-020-04760-x

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  • DOI: https://doi.org/10.1007/s10958-020-04760-x

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