Albert Shiryaev
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Albert Nikolayevich Shiryaev is a Soviet and Russian mathematician. He is known for his work in probability theory, statistics and financial mathematics.
Albert Shiryaev
Stochastic process
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In probability theory and related fields a stochastic or random process is a mathematical object usually defined as a family of random variables in a probability space, where the index of the family o
Albert Shiryaev
…scientific work concerns different aspects of probability theory, statistics and its applications. He has contributions to: Nonlinear theory of stationary stochastic processes Problems of fast detection of random effects (Kolmogorov Prize of Russian Academy of Sciences, 1994…
A computer-simulated realization of a Wiener or Brownian motion process on the surface of a sphere. The Wiener process is widely considered the most studied and central stochastic process in probability theory.
Mathematician Joseph Doob did early work on the theory of stochastic processes, making fundamental contributions, particularly in the theory of martingales. His book Stochastic Processes is considered highly influential in the field of probability theory.
Norbert Wiener gave the first mathematical proof of the existence of the Wiener process. This mathematical object had appeared previously in the work of Thorvald Thiele, Louis Bachelier, and Albert Einstein.