Speciality:
01.01.05 (Probability theory and mathematical statistics)
Birth date:
12.10.1934
E-mail: Keywords: probability theory,
mathematical statistics,
stochastic processes,
financial mathematics,
and their applications.
Subject:
Probability theory, mathematical statistics. Main interest: nonlinear spectral theory of stationary processes, quickest detection problems, statistical sequential analysis, nonlinear filtration, stochastic calculus of random processes, theory of martingales, functional limit theorems for semimartingales, mathematical finance.
Main publications:
A. N. Shiryaev, “On optimum methods in quickest detection problems”, Theor. Probab. Appl., 8 (1963), 22–46
A. N. Shiryaev, “Stochastic Equations of Nonlinear Filtering of Markovian Jump Processes”, Problems Inform. Transmission, 2:3 (1966), 1–18
Yu. M. Kabanov, R. Sh. Liptser, A. N. Shiryaev, “Absolute continuity and singularity of locally absolutely continuous probability distributions. I”, Math. USSR-Sb., 35:5 (1979), 631–680
J. Jacod, A. N. Shiryaev, Limit theorems for stochastic processes, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 288, Springer-Verlag, Berlin, 1987 , xviii+601 pp.
G. Peskir, A. Shiryaev, Optimal stopping and free-boundary problems, Lectures Math. ETH Zürich, Birkhäuser Verlag, Basel, 2006 , xxii+500 pp.