Semiinvariants, Senatov Moments and Density Decomposition

Author:

Kondratenko A. E.1,Sobolev V. N.1

Affiliation:

1. Lomonosov Moscow State University

Abstract

It is proposed to introduce into Probability Theory courses such a new moment characteristic of random variable as Senatov moment. Naturalness of this proposal is confirmed by three views of appearance of Senatov moments. Introducing of them will answer the question about what is analogue of Taylor series of function for density.

Publisher

FSFEI HE Don State Technical University

Subject

General Medicine

Reference6 articles.

1. Sukhinov AI, Protsenko SV, Protsenko EA. Field Data Filtering for the Digital Simulation of Three-Dimensional Turbulent Flows Using The Les Approach. Vestnik Yuzhno-Uralskogo Gosudarstvennogo Universiteta. Seriya: Matematika. Mekhanika. Fizika. 2022;14(4): 40–51. (In Russ.). https://doi.org/10.14529/mmph220406

2. Schrodinger E. Selected works on quantum mechanics. Moscow: Nauka; 1976. 424 p. (In Russ.).

3. Taimanov IA, Tsarev SP. On the Moutard transformation and its applications to spectral theory and Soliton equations. Journal of Mathematical Sciences. 2010;170(3):371–387. https://doi.org/10.1007/s10958-010-0092-x

4. Senatov VV. Central limit theorem: accuracy of approximation and asymptotic expansions. Moscow: Book House “LIBROCOM”; 2009. 352 p.

5. Senatov VV. Application of the Chebyshev-Hermite moments in asymptotic decompositions. In: “Twentieth international seminar on stability problems for stochastic models”. Theory of Probability and its Applications. 2001;46(1):190–193.

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