Zobrazeno 1 - 10
of 23
pro vyhledávání: '"E. I. Ostrovskii"'
Autor:
E. I. Ostrovskii
Publikováno v:
Mathematical Notes. 73:838-842
In this paper, we calculate the exact asymptotics with remainder of integrals of Laplace type in an arbitrary space, without imposing any constraints on the smoothness of the functions. As a special case, we derive the classical Laplace formula. Some
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ec3dfebee78941ab9db59661ac3062c
https://doi.org/10.1023/a:1024006031243
https://doi.org/10.1023/a:1024006031243
Autor:
E. I. Ostrovskii
Publikováno v:
Theory of Probability & Its Applications. 46:161-167
In this paper the anisotropic moduli of continuity of random fields, which satisfied the Cramer condition, are calculated. The exactness of obtained results applied for the derivation of the central limit theorem in Holder spaces is shown in examples
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad5058449d195bbe43cf8130bde71ee4
https://doi.org/10.1137/s0040585x97978798
https://doi.org/10.1137/s0040585x97978798
Autor:
E. I. Ostrovskii, P. B Bobrov
Publikováno v:
Journal of Mathematical Sciences. 99:1031-1043
Estimates independent of a priori information about the function from\(\mathcal{L}_{\text{2}} \) under estimation (adaptive estimates) are suggested. These estimates are applied to various problems of the regression estimation, the density estimation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7df3547ae5af38522402cdfce451a49
https://doi.org/10.1007/bf02673624
https://doi.org/10.1007/bf02673624
Publikováno v:
Bulletin of Experimental Biology and Medicine. 129:186-189
Rapid and slow responses to photohemotherapy with blue light were studied in 61 patients with various diseases. Changes in blood rheology, coagulation, immunological, and biochemical parameters, and respiratory function of the lungs were studied. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c3afbc8424a96064ae492cb66b3a4ea
https://doi.org/10.1007/bf02434807
https://doi.org/10.1007/bf02434807
Autor:
S. A. Egishyants, E. I. Ostrovskii
Publikováno v:
Mathematical Notes. 63:608-613
We consider the problem of reconstructing stochastic processes or stochastic fields from their known values on a finite grid. This problem is stated and solved in a sufficiently general setting; it is shown that even in the simplest case of approxima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e057f065db64cf8bb624d01a8ec17210
https://doi.org/10.1007/bf02312841
https://doi.org/10.1007/bf02312841
Autor:
E. I. Ostrovskii
Publikováno v:
Theory of Probability & Its Applications. 42:302-310
Let $ \xi(t) $ be a random field with values in $ \bR^1$, defined for $ t \in T,\ T$ an arbitrary set. In this paper two-sided exponential estimates are derived for probabilities $ P(T,u) = \bP\{\sup_{t \in T} \xi(t)\break > u \} $: $$ C_1 g_2(u) \l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82d26a2c1945311dd32e9186d48ac188
https://doi.org/10.1137/s0040585x97976167
https://doi.org/10.1137/s0040585x97976167
Autor:
E. I. Ostrovskii, D. R. Bagdasarov
Publikováno v:
Theory of Probability & Its Applications. 42:684-689
In this paper two-sided exponential bounds for confidence probabilities for an unknown distribution density are derived under the right norming on the Holder classes in the minimax sense.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d4887a728202dad6689bc425fac603bf
https://doi.org/10.1137/s0040585x97976532
https://doi.org/10.1137/s0040585x97976532
Autor:
S A Egishyants, E. I. Ostrovskii
Publikováno v:
Theory of Probability & Its Applications. 41:657-665
We introduce and calculate the local and global upper functions for arbitrary, i.e., not necessarily Gaussian, random fields. Only the Cramer condition is assumed to be fulfilled for the fields under consideration. Despite the generality we show by e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e917b020bbb136c2901214e86be3f5ea
https://doi.org/10.1137/s0040585x9797568x
https://doi.org/10.1137/s0040585x9797568x
Autor:
E. I. Ostrovskii, I. R. Bagdasarova
Publikováno v:
Theory of Probability & Its Applications. 40:538-542
In this paper we derive nonuniform exponential estimates for a distribution of norms of sums of random variables with values in a Banach space in classical zones of large deviations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::035e1d6392db546ae44fe5cfc06d13b2
https://doi.org/10.1137/1140057
https://doi.org/10.1137/1140057
Autor:
E. I. Ostrovskii, D. R. Bagdasarov
Publikováno v:
Theory of Probability & Its Applications. 40:737-742
Without using complex analysis, we deduce a lower estimate for the distribution tail of a random variable in terms of its moment-generating function.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4747ec4002e3bab6a75956d05c393b8d
https://doi.org/10.1137/1140082
https://doi.org/10.1137/1140082