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Title Prokhorov and contemporary probability theory : in honor of Yuri V. Prokhorov / Albert N. Shiryaev, S.R.S. Varadhan, Ernst L. Presman, editors
Published Berlin ; New York : Springer, ©2013

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Description 1 online resource : portraits
Series Springer proceedings in mathematics & statistics, 2194-1009 ; v. 33
Springer proceedings in mathematics & statistics ; v. 33.
Contents Scientific papers -- When Knowing Early Matters: Gossip, Percolation and Nash Equilibria / David J. Aldous -- A Mathematical Model of Investment Incentives / Vadim Arkin, Alexander Slastnikov -- The Shape of Asymptotic Dependence / Guus Balkema, Paul Embrechts, Natalia Nolde -- Limit Theorems for Functionals of Higher Order Differences of Brownian Semi-Stationary Processes / Ole E. Barndorff-Nielsen, José Manuel Corcuera, Mark Podolskij -- Retrieving Information from Subordination / Jean Bertoin, Marc Yor -- Asymptotic Expansions for Distributions of Sums of Independent Random Vectors / Algimantas Bikelis -- An Extension of the Concept of Slowly Varying Function with Applications to Large Deviation Limit Theorems / Alexander A. Borovkov, Konstantin A. Borovkov -- Optimal and Asymptotically Optimal Control for Some Inventory Models / Ekaterina Bulinskaya
Levy Preservation and Associated Properties for f -Divergence Minimal Equivalent Martingale Measures / Suzanne Cawston, Lioudmila Vostrikova -- Non-standard Limit Theorems in Number Theory / Francesco Cellarosi, Yakov G. Sinai -- Additive Functions and Gaussian Measures / Linan Chen, Daniel W. Stroock -- Free Infinitely Divisible Approximations of n-Fold Free Convolutions / Gennadii Chistyakov, Friedrich Götze -- Accurate Approximation of Correlation Coefficients by Short Edgeworth-Chebyshev Expansion and Its Statistical Applications / Gerd Christoph, Vladimir V. Ulyanov, Yasunori Fujikoshi -- The Stein-Tikhomirov Method and Berry-Esseen Inequality for Sampling Sums from a Finite Population of Independent Random Variables / Shakir K. Formanov, Tamara A. Formanova -- On One Inequality for Characteristic Functions / Nicko Gamkrelidze
On the Nonlinear Filtering Equations for Superprocesses in Random Environment / Bronius Grigelionis -- Upper Bounds for Bernstein Basis Functions / Vijay Gupta, Tengiz Shervashidze -- On Distribution of Zeros of Random Polynomials in Complex Plane / Ildar Ibragimov, Dmitry Zaporozhets -- Dependence and Interaction in Branching Processes / Peter Jagers, Fima C. Klebaner -- Testing Functional Connection between Two Random Variables / Gyula O.H. Katona -- Scientific papers -- The Symmetry Group of Gaussian States in L2(Rn) / Kalyanapuram R. Parthasarathy -- Solution of the Optimal Stopping Problem for One-Dimensional Diffusion Based on a Modification of the Payoff Function / Ernst Presman -- Interviews -- The Times of Yuri Vasilyevich Prokhorov / Friedrich Götze, Willem R. van Zwet -- A Conversation with Yuri Vasilyevich Prokhorov / Larry Shepp
Summary The role of Yuri Vasilyevich Prokhorov as aprominent mathematician and leading expert inthe theory of probability is well known. Even early in his career he obtained substantial results on the validity of the strong law of large numbers and on the estimates (bounds) of the rates of convergence, some of which are the best possible. His findings on limit theorems in metric spaces and particularly functional limit theorems are of exceptional importance. Y.V. Prokhorov developed an original approach to the proof of functional limit theorems, based on the weak convergence of finite dimensional distributions and the condition of tightness ofprobability measures. The presentvolume commemorates the 80th birthday of Yuri Vasilyevich Prokhorov. It includes scientific contributions written by his colleagues, friends andpupils, who would like to express their deep respect and sincerest admiration for him and his scientific work
Analysis Mathematics
Distribution (Probability theory)
Quantum theory
Statistics
Probability Theory and Stochastic Processes
Quantum Physics
Bibliography Includes bibliographical references
SUBJECT Prochorov, Jurij V. 1929-2013 gnd
Subject Probabilities.
probability.
MATHEMATICS -- Probability & Statistics -- General.
Probabilidades
Probabilities
Wahrscheinlichkeitstheorie
Genre/Form Festschriften
Festschriften.
Form Electronic book
Author Shiri︠a︡ev, A. N. (Alʹbert Nikolaevich)
Varadhan, S. R. S.
Presman, Ė. L. (Ėrnst Lʹvovich)
LC no. 2012954482
ISBN 9783642335495
3642335497
3642335489
9783642335488
9781299197688
129919768X