Zobrazeno 1 - 10 of 67 pro vyhledávání: '"Yu. V. Prokhorov"'
2
On Bounds for Characteristic Functions of Powers of Asymptotically Normal Variables
Autor: Friedrich Götze, Vladimir V. Ulyanov, Yu. V. Prokhorov
Publikováno v: Theory of Probability & Its Applications. 62:98-116
We obtain upper bounds for the absolute values of the characteristic functions of the $k$th powers of asymptotically normal random variables. Estimates are proved for the case when asymptotically normal random variables are normalized sums of indepen
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d14b214f8e1963d2d02d3c88524c7dad
https://doi.org/10.1137/s0040585x97t988514
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3
On the 100th Birthday of B. V. Gnedenko
Autor: Albert N. Shiryaev, Anatoly Manita, Yu. V. Prokhorov
Publikováno v: Theory of Probability & Its Applications. 58:1-3
Details of several international conferences which were held in 2012 to commemorate the 100th anniversary of the birth of world renowned scientist and outstanding mathematician Boris Vladimirovich Gnedenko.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1dca4c6626d31855cd8761ae825478ab
https://doi.org/10.1137/s0040585x97986345
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4
On Polynomials of Components of Gaussian Random Vectors
Autor: V. I. Khokhlov, Yu. V. Prokhorov
Publikováno v: Theory of Probability & Its Applications. 52:720-724
The paper makes more precise and extends the result obtained in [Theory Probab. Appl., 37 (1993), pp. 692–695] for the one-dimensional case to the multidimensional case.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2020dc702598535aa3eeccd684745ade
https://doi.org/10.1137/s0040585x97983341
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5
Analogues of the Chernoff Inequality for Negative Binomial Distribution
Autor: O. V. Viskov, V. I. Khokhlov, Yu. V. Prokhorov
Publikováno v: Theory of Probability & Its Applications. 50:327-330
Analogues of the isoperimetric Chernoff inequality for a negative binomial distribution are obtained.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c555be0d417eeb77eae72aac473b81cf
https://doi.org/10.1137/s0040585x9798172x
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6
H.F.D. (H-function Distribution) and Benford's Law. I
Autor: Yu. V. Prokhorov, A. A. Kulikova, V. I. Khokhlov
Publikováno v: Theory of Probability & Its Applications. 50:311-315
This paper notes a connection among a wide class of the so-called HF-random variables, approximately uniform distributions, and Benford's law. This connection is considered in detail with the help of examples of random variables having gamma-distribu
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e7d0acbc7257d6fdc81c2db424562af1
https://doi.org/10.1137/s0040585x97981706
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8
Completely Asymmetric Stable Laws and Benford's Law
Autor: A. A. Kulikova, Yu. V. Prokhorov
Publikováno v: Theory of Probability & Its Applications. 49:163-169
Let Y be a random variable with a completely asymmetric stable law and parameter $\alpha$. This paper proves that a probability distribution of a fractional part of the logarithm of Y with respect to any base larger than 1 converges to the uniform di
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cb1b667c87d8b527ba17f366dbd32959
https://doi.org/10.1137/s0040585x97980944
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