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On a Relation of the Growth Rate Between Moments and Semi-Invariants of a Higher Order

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The main aim of this note is to study conditions under which estimates from above for moments and semi-invariants of a random variable have similar forms.

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References

  1. L. Saulis and V. Statulevičius, Limit Theorems for Large Deviations, Mokslas, Vilnius, 1989.

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  2. L. V. Rozovsky, “On the Cramer series coefficients,” Teor. Veroyatn. Primen., 43, 152–157 (1999).

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Authors and Affiliations

  1. St. Petersburg Chemical-Pharmaceutical Academy, St. Petersburg, Russia

    L. V. Rozovsky

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  1. L. V. Rozovsky
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Correspondence to L. V. Rozovsky.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 442, 2015, pp. 118–121.

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Rozovsky, L.V. On a Relation of the Growth Rate Between Moments and Semi-Invariants of a Higher Order. J Math Sci 225, 802–804 (2017). https://doi.org/10.1007/s10958-017-3495-0

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  • DOI: https://doi.org/10.1007/s10958-017-3495-0

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