D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 36 Citations 15,775 209 World Ranking 1720 National Ranking 20

Research.com Recognitions

Awards & Achievements

1990 - Member of Academia Europaea

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Statistics
  • Probability theory

His primary areas of study are Optimal stopping, Martingale, Mathematical economics, Mathematical finance and Econometrics. Stock options is closely connected to Markov process in his research, which is encompassed under the umbrella topic of Optimal stopping. The study of Martingale is intertwined with the study of Lévy process in a number of ways.

Albert N. Shiryaev works mostly in the field of Lévy process, limiting it down to concerns involving Absolute continuity and, occasionally, Applied mathematics. His Applied mathematics research is multidisciplinary, incorporating elements of Poisson distribution and Calculus. His Econometrics research incorporates elements of Stochastic process and Financial economics.

His most cited work include:

  • Limit Theorems for Stochastic Processes (4344 citations)
  • On Optimum Methods in Quickest Detection Problems (685 citations)
  • Essentials of Stochastic Finance: Facts, Models, Theory (349 citations)

What are the main themes of his work throughout his whole career to date?

Albert N. Shiryaev focuses on Applied mathematics, Brownian motion, Optimal stopping, Mathematical analysis and Mathematical optimization. Albert N. Shiryaev works mostly in the field of Applied mathematics, limiting it down to topics relating to Random walk and, in certain cases, Limit, as a part of the same area of interest. His work in Brownian motion tackles topics such as Statistical physics which are related to areas like Lévy process and Stochastic process.

While the research belongs to areas of Optimal stopping, Albert N. Shiryaev spends his time largely on the problem of Function, intersecting his research to questions surrounding Power function. His Mathematical analysis study also includes fields such as

  • Stochastic calculus that intertwine with fields like Continuous-time stochastic process and Geometric Brownian motion,
  • Pure mathematics which is related to area like Martingale. The Mathematical optimization study combines topics in areas such as Markov process and Bayesian probability.

He most often published in these fields:

  • Applied mathematics (23.48%)
  • Brownian motion (18.26%)
  • Optimal stopping (16.52%)

What were the highlights of his more recent work (between 2011-2020)?

  • Brownian motion (18.26%)
  • Applied mathematics (23.48%)
  • Optimal stopping (16.52%)

In recent papers he was focusing on the following fields of study:

Albert N. Shiryaev spends much of his time researching Brownian motion, Applied mathematics, Optimal stopping, Mathematical optimization and Markov process. His study looks at the intersection of Brownian motion and topics like Posterior probability with Free boundary problem. Albert N. Shiryaev integrates several fields in his works, including Applied mathematics and Weak formulation.

His study explores the link between Optimal stopping and topics such as Speculation that cross with problems in Position. Albert N. Shiryaev studied Markov process and Markov chain that intersect with Random variable. His research in Stochastic process tackles topics such as Mathematical analysis which are related to areas like Transformation.

Between 2011 and 2020, his most popular works were:

  • Bayesian Sequential Estimation of a Drift of Fractional Brownian Motion (21 citations)
  • On solutions of Kolmogorovʼs equations for nonhomogeneous jump Markov processes (19 citations)
  • Land and stock bubbles, crashes and exit strategies in Japan circa 1990 and in 2013 (13 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Statistics
  • Probability theory

His primary scientific interests are in Applied mathematics, Markov process, Brownian motion, Mathematical optimization and Optimal stopping. His Applied mathematics research focuses on Geometric Brownian motion and how it connects with Quadratic equation. He combines subjects such as Markov kernel, Markov renewal process, Markov model, Markov property and Bayesian probability with his study of Mathematical optimization.

His work deals with themes such as Speculation, Continuous-time stochastic process and Futures contract, which intersect with Optimal stopping. Albert N. Shiryaev interconnects Kolmogorov equations, Mathematical analysis and Markov decision process in the investigation of issues within Kolmogorov's criterion. His Mathematical analysis research includes elements of Continuous-time Markov chain, Stochastic process and Point process.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Limit Theorems for Stochastic Processes

Jean Jacod;Albert N Shiryaev.
(1987)

7285 Citations

Essentials of Stochastic Finance: Facts, Models, Theory

Albert N. Shiryaev.
(1999)

1521 Citations

On Optimum Methods in Quickest Detection Problems

A. N. Shiryaev.
Theory of Probability and Its Applications (1963)

1038 Citations

Probability (2nd ed.)

Albert Nikolaevich Shiryaev;R. P. Boas.
(1995)

508 Citations

Optimization of the flow of dividends

M Jeanblanc-Picqué;A N Shiryaev.
Russian Mathematical Surveys (1995)

423 Citations

On a Method of Calculation of Semi-Invariants

V. P. Leonov;A. N. Shiryaev.
Theory of Probability and Its Applications (1959)

388 Citations

The Russian Option: Reduced Regret

Larry A Shepp;A. N Shiryaev.
Annals of Applied Probability (1993)

333 Citations

The cumulant process and Esscher's change of measure

Jan Kallsen;Albert N. Shiryaev.
Finance and Stochastics (2002)

310 Citations

No-arbitrage, change of measure and conditional Esscher transforms

H. Bühlmann;Freddy Delbaen;P. Embrechts;A.N. Shiryaev.
CWI quarterly (1996)

266 Citations

Local martingales and the fundamental asset pricing theorems in the discrete-time case

Jean Jacod;Albert N. Shiryaev.
Finance and Stochastics (1998)

247 Citations

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