Shiryaev Albert Nikolaevich
Statistics Math-Net.Ru
Total publications:
92
Scientific articles:
60
Citations to the author:
264
Cited articles:
44
Citing authors:
112
Presentations:
3
Number of views:
This page: 2115 Abstract pages: 7556 Full texts: 1595 References: 202
Academic status:
Corresponding member of RAS
Scientific status:
Professor
Scientific degree:
Doctor of physico-mathematical sciences (1967)
Speciality:
01.01.05 (Probability theory and mathematical statistics)
Birth date:
12.10.1934
Phone:
+7 (495) 938 37 60, +7 (495) 938 39 34
E-mail:
albertsh®mi.ras¸ru , shiryaev®mi.ras¸ru
UDC:
519.2 , 519.21 , 519.216.5 , 519.216.8 , 519.226 , 519.27
List of publications on Google Scholar
List of publications on ZentralBlatt
Personal webpage on MathSciNet
Publications in Math-Net.Ru
1.
On Conditional-Extremal Problems of the Quickest Detection of Nonpredictable Times of the Observable Brownian Motion A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 2008 , 53 :4, 751–768
2.
On Asymptotic Optimality of the Second Order in the Minimax Quickest Detection Problem of Drift Change for Brownian Motion E. V. Burnaev, E. A. Feinberg, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 2008 , 53 :3, 557–575
3.
On Stochastic Models and Optimal Methods in the Quickest Detection Problems A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 2008 , 53 :3, 417–436
4.
On martingale methods in the boundary crossing problems for Brownian motion A. N. ShiryaevSovrem. Probl. Mat. , 2007 , 8 , 3–78
5.
Proof of the Poincaré–Chernoff inequality and logarithmic Sobolev's inequality by the methods of stochastic calculus for Brownian motion A. N. ShiryaevUspekhi Mat. Nauk , 2006 , 61 :3(369), 177–178
6.
On the problem of stochastic integral representations of functionals of the Browning motion. II S. Graversen, A. N. Shiryaev, M. YorTeor. Veroyatnost. i Primenen. , 2006 , 51 :1, 64–77
7.
On an effective solution of the optimal
stopping problem for random walks A. A. Novikov, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 2004 , 49 :2, 373–382
8.
On the problem of stochastic integral representations of functionals of the Brownian motion. I A. N. Shiryaev, M. YorTeor. Veroyatnost. i Primenen. , 2003 , 48 :2, 375–385
9.
On Lower and Upper Functions for Square Integrable Martingales A. N. Shiryaev, E. Valkeila, L. Yu. VostrikovaTr. Mat. Inst. Steklova , 2002 , 237 , 290–301
10.
Vector Stochastic Integrals and the Fundamental Theorems of Asset Pricing A. N. Shiryaev, A. S. ChernyTr. Mat. Inst. Steklova , 2002 , 237 , 12–56
11.
Limit behavior of the “horizontal-vertical” random walk and some extensions of the Donsker–Prokhorov invariance principle A. S. Cherny, A. N. Shiryaev, M. YorTeor. Veroyatnost. i Primenen. , 2002 , 47 :3, 498–517
12.
The Russian option under conditions of a possible price "freeze" L. A. Shepp, A. N. ShiryaevUspekhi Mat. Nauk , 2001 , 56 :1(337), 187–188
13.
Time Change Representation of Stochastic Integrals J. Kallsen, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 2001 , 46 :3, 579–585
14.
A Note on the Call–Put Parity and a Call–Put Duality G. Peskir, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 2001 , 46 :1, 181–183
15.
Stopping Brownian motion without anticipation as close as possible to its ultimate maximum S. E. Graversen, G. Peskir, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 2000 , 45 :1, 125–136
16.
Some distributional properties of a Brownian motion with a drift and an extension of P. Lévy's theorem A. S. Cherny, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1999 , 44 :2, 466–472
17.
On probability characteristics of “downfalls” in a standard Brownian motion R. Douady, M. Yor, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1999 , 44 :1, 3–13
18.
On the Brownian first-passage time over a one-sided stochastic boundary G. Peskir, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1997 , 42 :3, 591–602
19.
Probability theory and B. V. Gnedenko A. N. ShiryaevFundam. Prikl. Mat. , 1996 , 2 :4, 955
20.
Minimax optimality of the method of cumulative sums (cusum) in the case of continuous time A. N. ShiryaevUspekhi Mat. Nauk , 1996 , 51 :4(310), 173–174
21.
The Khintchine inequalities and martingale expanding sphere of their action G. Peškir, A. N. ShiryaevUspekhi Mat. Nauk , 1995 , 50 :5(305), 3–62
22.
Optimization of the flow of dividends M. Jeanblanc-Picqué, A. N. ShiryaevUspekhi Mat. Nauk , 1995 , 50 :2(302), 25–46
23.
On the rational pricing of the “Russian Option” for the symmetrical binomial model of a $(B,S)$ -market D. O. Kramkov, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1994 , 39 :1, 191–200
24.
A new look at pricing of the “Russian Option” L. A. Shepp, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1994 , 39 :1, 130–149
25.
Toward the theory of pricing of options of both European and American types. II. Continuous time A. N. Shiryaev, Yu. M. Kabanov, D. O. Kramkov, A. V. MelnikovTeor. Veroyatnost. i Primenen. , 1994 , 39 :1, 80–129
26.
Toward the theory of pricing of options of both European and American types. I. Discrete time A. N. Shiryaev, Yu. M. Kabanov, D. O. Kramkov, A. V. MelnikovTeor. Veroyatnost. i Primenen. , 1994 , 39 :1, 23–79
27.
On some basic concepts and some basic stochastic models used in finance A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1994 , 39 :1, 5–22
28.
On the concept of $\lambda$ -convergence of statistical experiments V. G. Spokoiny, A. N. ShiryaevTrudy Mat. Inst. Steklov. , 1993 , 202 , 282–286
29.
Optimal stopping rules and maximal inequalities for Bessel processes L. E. Dubins, L. A. Shepp, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1993 , 38 :2, 288–330
30.
Stochastic calculus S. V. Anulova, A. Yu. Veretennikov, N. V. Krylov, R. Sh. Liptser, A. N. ShiryaevItogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr. , 1989 , 45 , 5–253
31.
Probabilistic-statistical methods of detecting spontaneously occurring effects A. N. Kolmogorov, Yu. V. Prokhorov, A. N. ShiryaevTrudy Mat. Inst. Steklov. , 1988 , 182 , 4–23
32.
Weak convergence of a sequence of semimartingales to a process of diffusion type R. Sh. Liptser, A. N. ShiryaevMat. Sb. (N.S.) , 1983 , 121(163) :2(6), 176–200
33.
Weak and strong convergence of distributions of counting processes Yu. M. Kabanov, R. Š. Lipcer, A. N. ŠiryaevTeor. Veroyatnost. i Primenen. , 1983 , 28 :2, 288–319
34.
On the invariance principle for semimartingales with «nonclassical» assumptions R. Š. Lipcer, A. N. ŠiryaevTeor. Veroyatnost. i Primenen. , 1983 , 28 :1, 3–31
35.
Necessary and sufficient conditions for contiguity and entire asymptotic separation of probability measures R. Sh. Liptser, F. Pukel'sheim, A. N. ShiryaevUspekhi Mat. Nauk , 1982 , 37 :6(228), 97–124
36.
On the rate of convergence in the central limit theorem for semimartingales R. Š. Lipсer, A. N. ŠiryaevTeor. Veroyatnost. i Primenen. , 1982 , 27 :1, 3–14
37.
On weak convergence of semimartingales to stochastically continuous processes with independent and conditionally independent increments R. Sh. Liptser, A. N. ShiryaevMat. Sb. (N.S.) , 1981 , 116(158) :3(11), 331–358
38.
Necessary and sufficient conditions for the functional central limit theorem for semimartingales R. Š. Lipcer, A. N. ŠiryaevTeor. Veroyatnost. i Primenen. , 1981 , 26 :1, 132–137
39.
On the representation of integral-valued random measures and local martingales by means of random measures with deterministic compensators Yu. M. Kabanov, R. Sh. Liptser, A. N. ShiryaevMat. Sb. (N.S.) , 1980 , 111(153) :2, 293–307
40.
A functional central limit theorem for semimartingales R. Š. Lipčer, A. N. ŠiryaevTeor. Veroyatnost. i Primenen. , 1980 , 25 :4, 683–703
41.
Absolute continuity and singularity of locally absolutely continuous probability distributions. II Yu. M. Kabanov, R. Sh. Liptser, A. N. ShiryaevMat. Sb. (N.S.) , 1979 , 108(150) :1, 32–61
42.
Absolute continuity and singularity of locally absolutely continuous probability distributions. I Yu. M. Kabanov, R. Sh. Liptser, A. N. ShiryaevMat. Sb. (N.S.) , 1978 , 107(149) :3(11), 364–415
43.
On the question of absolute continuity and singularity of probability measures Yu. M. Kabanov, R. Sh. Liptser, A. N. ShiryaevMat. Sb. (N.S.) , 1977 , 104(146) :2(10), 227–247
44.
On the absolute continuity of measures corresponding to processes of diffusion type relative to a Wiener measure R. Sh. Liptser, A. N. ShiryaevIzv. Akad. Nauk SSSR Ser. Mat. , 1972 , 36 :4, 847–889
45.
Minimax weights in a trend detection problem for a stochastic process I. L. Legostaeva, A. N. ŠiryaevTeor. Veroyatnost. i Primenen. , 1971 , 16 :2, 339–345
46.
On the density of probability measures of diffusion-type processes R. Sh. Liptser, A. N. ShiryaevIzv. Akad. Nauk SSSR Ser. Mat. , 1969 , 33 :5, 1120–1131
47.
Interpolation and filtering of a jump-like component of a Markov process R. Sh. Liptser, A. N. ShiryaevIzv. Akad. Nauk SSSR Ser. Mat. , 1969 , 33 :4, 901–914
48.
Investigations by statistical sequential analysis A. N. ShiryaevMat. Zametki , 1968 , 3 :6, 739–754
49.
Controllable Markov Processes and Stefan's Problem B. I. Grigelionis, A. N. ShiryaevProbl. Peredachi Inf. , 1968 , 4 :1, 60–72
50.
Nonlinear interpolation of components of diffusion Markov processes R. Sh. Liptser, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1968 , 13 :4, 602–620
51.
Extrapolation of multidimensional Markov processes from incomplete data R. Sh. Liptser, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1968 , 13 :1, 17–38
52.
Stochastic Equations of Nonlinear Filtering of Markovian Jump Processes A. N. ShiryaevProbl. Peredachi Inf. , 1966 , 2 :3, 3–22
53.
On Stefan's problem and optimal stopping rules for Markov processes B. I. Grigelionis, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1966 , 11 :4, 612–631
54.
Some criterions of “truncatedness” of the optimal stopping moment in sequential analysis B. I. Grigelionis, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1965 , 10 :4, 601–613
55.
Some explicit formulae in a problem on “disorder” A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1965 , 10 :2, 380–385
56.
On a Bayes Problem of Sequential Search in Diffusion Approximation R. Š. Lipcer, A. N. ŠiryaevTeor. Veroyatnost. i Primenen. , 1965 , 10 :1, 192–199
57.
Detection of randomly appearing targets in a multi-channel system A. N. ShiryaevTrudy Mat. Inst. Steklov. , 1964 , 71 , 113–117
58.
On controls which reduce to optimal stationary regimes O. V. Viskov, A. N. ShiryaevTrudy Mat. Inst. Steklov. , 1964 , 71 , 35–45
59.
On the determination of optimal controls V. I. Arkin, V. A. Kolemaev, A. N. ShiryaevTrudy Mat. Inst. Steklov. , 1964 , 71 , 21–25
60.
On Markov Sufficient Statistics in Nonadditive Bayes Problems of Sequential Analysis A. N. ŠiryaevTeor. Veroyatnost. i Primenen. , 1964 , 9 :4, 670–686
61.
Seventy-Five Years Since Publication of the Monograph by A. N. Kolmogorov Yu. V. Prokhorov, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 2008 , 53 :2, 209–212
62.
Russian-Scandinavian symposium “Probability Theory and Applied Probability” A. N. Shiryaev, V. V. MazalovTeor. Veroyatnost. i Primenen. , 2007 , 52 :1, 204–205
63.
On the 75th birthday of V. M. Zolotarev L. G. Afanas'eva, E. V. Bulinskaya, O. V. Viskov, I. È. Ibragimov, R. I. Ivanovskaya, V. Yu. Korolev, V. M. Kruglov, Yu. V. Prokhorov, B. A. Sevast'yanov, V. V. Senatov, M. V. Khatuntseva, Yu. S. Khokhlov, D. M. Chibisov, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 2006 , 51 :4, 773–775
64.
To the 75th birthday of A. A. Borovkov N. N. Vakhania, I. A. Ibragimov, V. P. Maslov, Yu. V. Prokhorov, B. A. Sevast'yanov, Ya. G. Sinai, D. M. Chibisov, A. N. Shiryaev, I. S. Borisov, V. I. Lotov, A. A. Mogul'skii, S. G. FossTeor. Veroyatnost. i Primenen. , 2006 , 51 :2, 257–259
65.
Information on the Fourth “Student Kolmogorov olympiad on the theory of probability” A. N. Shiryaev, M. A. Urusov, A. S. Cherny, A. V. Selivanov, S. V. Dil'man, I. N. Medvedev, A. S. Mishchenko, A. P. ShashkinTeor. Veroyatnost. i Primenen. , 2005 , 50 :2, 411–413
66.
Preface A. N. ShiryaevFunkts. Anal. Prilozh. , 2003 , 37 :4, 3
67.
Sergei Sergeevich Demidov (on his 60th birthday) D. V. Anosov, I. G. Bashmakova, A. N. Bogolyubov, L. D. Kudryavtsev, A. N. Parshin, S. S. Petrova, K. A. Rybnikov, V. M. Tikhomirov, A. N. ShiryaevUspekhi Mat. Nauk , 2003 , 58 :6(354), 189–192
68.
On the 80th Birthday of B. A. Sevastyanov A. A. Borovkov, V. A. Vatutin, V. M. Zolotarev, A. M. Zubkov, I. A. Ibragimov, R. I. Ivanovskaya, V. F. Kolchin, V. P. Maslov, Yu. V. Prokhorov, M. V. Khatuntseva, V. I. Khokhlov, A. S. Holevo, D. M. Chibisov, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 2003 , 48 :4, 785
69.
Il'dar Abdullovich Ibragimov (on his 70th birthday) A. A. Borovkov, M. A. Lifshits, Ya. Yu. Nikitin, Yu. V. Prokhorov, V. N. Sudakov, A. N. ShiryaevUspekhi Mat. Nauk , 2002 , 57 :5(347), 187–190
70.
Preface A. N. ShiryaevTr. Mat. Inst. Steklova , 2002 , 237 , 7–11
71.
Lev Dmitrievich Meshalkin (obituary) S. A. Aivazyan, L. G. Afanas'eva, V. M. Buchstaber, Yu. N. Blagoveshchenskii, B. M. Gurevich, Yu. V. Prokhorov, Ya. G. Sinai, V. M. Tikhomirov, A. N. ShiryaevUspekhi Mat. Nauk , 2001 , 56 :3(339), 146–150
72.
Book review: Bertoin G. “Levy Processes”; Sato K.-I. “Levy Processes and Infinitely
Divisible Distributions” A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 2000 , 45 :4, 819–821
73.
On the history of the foundation of the Russian Academy of Sciences and about the first articles on probability theory in Russian publications A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1999 , 44 :2, 241–248
74.
Boris Vladimirovich Gnedenko (1.I.1912-27.XII.1995) V. A. Vatutin, V. M. Zolotarev, R. I. Ivanovskaya, I. A. Ibragimov, Yu. V. Prokhorov, V. M. Sazonov, B. A. Sevast'yanov, A. D. Solov'ev, D. M. Chibisov, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1996 , 41 :2, 393–395
75.
Roland L'vovich Dobrushin (20 July 1919 – 12 November 1995) B. M. Gurevich, I. A. Ibragimov, R. A. Minlos, I. A. Ovseevich, V. I. Oseledets, M. S. Pinsker, V. V. Prelov, Yu. V. Prokhorov, Ya. G. Sinai, A. S. Holevo, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1996 , 41 :1, 164–169
76.
Nikolai Nikolaevich Chentsov (obituary) V. I. Arnol'd, N. S. Bakhvalov, K. V. Brushlinskii, I. M. Gel'fand, R. L. Dobrushin, A. V. Zabrodin, I. A. Ibragimov, S. P. Kurdyumov, S. P. Novikov, D. E. Okhotsimskii, Yu. V. Prokhorov, Yu. B. Radvogin, Ya. G. Sinai, R. Z. Khas'minskii, A. S. Holevo, A. N. Shiryaev, T. M. EneevUspekhi Mat. Nauk , 1993 , 48 :2(290), 165–168
77.
Foreword A. A. Novikov, A. N. ShiryaevTrudy Mat. Inst. Steklov. , 1993 , 202 , 3
78.
Memorial: Nikolai Nikolaevitch Chentsov N. S. Bakhvalov, A. A. Borovkov, R. L. Dobrushin, A. V. Zabrodin, V. M. Zolotarev, I. A. Ibragimov, Yu. V. Prokhorov, B. A. Sevast'yanov, Ya. G. Sinai, A. V. Skorokhod, V. A. Statulyavichus, R. Z. Khas'minskii, A. S. Kholevo, D. M. Chibisov, A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1993 , 38 :3, 613–623
79.
Information bulletin № 1 of the Soviet Committee of the Bernoulli Society A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1991 , 36 :1, 199–203
80.
On Bernoulli Society A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1989 , 34 :2, 425–426
81.
Fiftieth Annyversary of the Foundation by A. N. Kolmogorov of the Department of Probability Theory at the Faculty of Mechanics and Mathematics at the MSU Ya. G. Synai, A. N. ShiryayevTeor. Veroyatnost. i Primenen. , 1989 , 34 :1, 190–191
82.
Andrei Nikolaevich Kolmogorov (25.IV.1903–20.X.1987): In Memoriam A. N. ShiryayevTeor. Veroyatnost. i Primenen. , 1989 , 34 :1, 5–118
83.
On the scientific heritage of A. N. Kolmogorov A. N. ShiryaevUspekhi Mat. Nauk , 1988 , 43 :6(264), 209–210
84.
Book review: «Convergence of Stochastic Processes» D. Pollard A. N. Shiryaev, Yu. A. KoshevnikTeor. Veroyatnost. i Primenen. , 1988 , 33 :1, 216–219
85.
First World Congress of Bernoulli Society A. N. ShiryaevUspekhi Mat. Nauk , 1987 , 42 :6(258), 203–205
86.
First World Congress of Bernoulli Society for Mathematical Statistics and Probability (continuation) A. N. Shiryaev, A. A. Novikov, E. L. PresmanTeor. Veroyatnost. i Primenen. , 1987 , 32 :2, 417–418
87.
First World Congress of Bernoulli Society for Mathematical Statistics and Probability A. N. Shiryaev, A. A. Novikov, E. L. PresmanTeor. Veroyatnost. i Primenen. , 1987 , 32 :2, 217–218
88.
IV Soviet-Japanese symposium on probability theory and mathematical statistics A. A. Novikov, A. N. ŠiryaevTeor. Veroyatnost. i Primenen. , 1983 , 28 :1, 198–199
89.
М. Metivier, J. Pellaumail «Stochastic Integration» (book review) A. N. ŠiryaevTeor. Veroyatnost. i Primenen. , 1981 , 26 :2, 436–439
90.
John Lamperti, Probability (A survey of the mathematical theory) (review) A. N. ShiryaevUspekhi Mat. Nauk , 1968 , 23 :2(140), 258–259
91.
Letter to the Editor A. N. ShiryaevProbl. Peredachi Inf. , 1967 , 3 :1, 86–87
92.
Letter to the Editor A. N. ShiryaevTeor. Veroyatnost. i Primenen. , 1967 , 12 :2, 395–396
Presentations
On stochastic optimization problems for the diffusion processes and methods of their solution by reduction to the Stefan problem with unknown boundaries for the Poisson equation
Steklov Mathematical Institute Seminar
March 2, 2006 16:00
Euler and probability theory
Reports presented at conferences
April 16, 2007
Probability and the concept of randomness
Steklov Mathematical Institute Seminar
November 26, 2009 16:00
Книги в базе данных Math-Net.Ru
A. N. Shiryaev, On martingale methods in the boundary crossing problems for Brownian motion , Sovrem. Probl. Mat., 8 , 2007, 80 с.http://mi.mathnet.ru/book469
Statistics and control of stochastic processes , Trudy Mat. Inst. Steklov., 202 , ed. A. A. Novikov, A. N. Shiryaev, E. F. Mishchenko, 1993, 304 с.http://mi.mathnet.ru/book1103
Stochastic financial mathematics , Collected papers, Tr. Mat. Inst. Steklova, 237 , ed. A. N. Shiryaev, E. F. Mishchenko, 2002, 319 с.http://mi.mathnet.ru/book250
Organisations