Semiinvariants, Senatov Moments and Density Decomposition
https://doi.org/10.23947/2587-8999-2023-7-3-7-11
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.
Keywords
Supporting agencies: the authors are grateful to Professors A.V. Bulinsky, E.B. Yarova and academician A.N. Shiryaev for their attention to the work.
About the Authors
A. E. Kondratenko
Lomonosov Moscow State University
Russian Federation
Russian Federation
Associate Professor of the Department of Probability Theory, Candidate of Physical and Mathematical Sciences
1, Leninskie Gory, Moscow, 119991
V. N. Sobolev
Lomonosov Moscow State University
Russian Federation
Russian Federation
Associate Professor/PhD in specialty no. 01.01.05, Candidate of Physical and Mathematical Sciences
1, Leninskie Gory, Moscow, 119991
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Review
For citations:
Kondratenko A.E., Sobolev V.N. Semiinvariants, Senatov Moments and Density Decomposition. Computational Mathematics and Information Technologies. 2023;7(3):7-11. https://doi.org/10.23947/2587-8999-2023-7-3-7-11
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