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Stochastic Processes and Applications : SPAS2017, Västerås and Stockholm, Sweden, October 4-6, 2017

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概要 This book highlights the latest advances in stochastic processes, probability theory, mathematical statistics, engineering mathematics and algebraic structures, focusing on mathematical models, struct...ures, concepts, problems and computational methods and algorithms important in modern technology, engineering and natural sciences applications. It comprises selected, high-quality, refereed contributions from various large research communities in modern stochastic processes, algebraic structures and their interplay and applications. The chapters cover both theory and applications, illustrated by numerous figures, schemes, algorithms, tables and research results to help readers understand the material and develop new mathematical methods, concepts and computing applications in the future. Presenting new methods and results, reviews of cutting-edge research, and open problems and directions for future research, the book serves as a source of inspiration for a broad spectrum of researchers and research students in probability theory and mathematical statistics, applied algebraic structures, applied mathematics and other areas of mathematics and applications of mathematics. The book is based on selected contributions presented at the International Conference on "Stochastic Processes and Algebraic Structures - From Theory Towards Applications" (SPAS2017) to mark Professor Dmitrii Silvestrov's 70th birthday and his 50 years of fruitful service to mathematics, education and international cooperation, which was held at Mälardalen University in Västerås and Stockholm University, Sweden, in October 2017.続きを見る
目次 Part I Stochastic Processes: Silvestrov Dmitrii: A Journey in the World of Stochastic Processes
Silvestrov Dmitrii: Individual Ergodic Theorems for Perturbed Alternating Regenerative Processes
Krasnitskiy Sergey and Kurchenko Oleksandr: On Baxter Type Theorems for Generalized Random Gaussian Fields
Bajja Salwa, Es-Sebaiy Khalifa, and Viitasaari Lauri: Limit Theorems for Quadratic Variations of the Lei-Nualart Process
Mishura Yuliya, Ralchenko Kostiantyn, and Shklyar Sergiy: Parameter Estimation for Gaussian Processes with Application to the Model with two Independent Fractional Brownian Motions
Rakhimova Gulnoza: Application of Limit Theorems for Superposition of Random Functions to Sequential Estimation
Morlanes José Igor and Andreev Andriy: On Simulation of a Fractional Ornstein-Uhlenbeck Process of the Second Kind by the Circulant Embedding Method
Lindensjö Kristoffer: Constructive Martingale Representation in Functional Itô Calculus: a Local Martingale Extension
Malyarenko Anatoliy and Ostoja-Starzewski Martin: Random Fields Related to the Symmetry Classes of Second-Order Symmetric Tensors
Part II Applications of Stochastic Processes: Silvestrov Dmitrii, Petersson Mikael, and Hössjer Ola: Nonlinearly Perturbed Birth-Death-Type Models
Hössjer Ola, Bechly Günter, and Gauger Ann: Phase-type Distribution Approximations of the Waiting Time Until Coordinated Mutations Get Fixed in a Population
Spricer Kristoffer and Trapman Pieter: Characterizing the Initial Phase of Epidemic Growth on some Empirical Networks
Boguslavskaya Elena, Mishura Yuliya, and Shevchenko Georgiy: Replication of Wiener-Transformable Stochastic Processes with Application to Financial Markets with Memory
D'Amico Guglielmo, Gismondi Fulvio, and Petroni Filippo: A New Approach to the Modeling of Financial Volumes
Abola Benard, Biganda Pitos Seleka, Engström Christopher, Mango John Magero, Kakuba Godwin, and Silvestrov Sergei: PageRank in Evolving Tree Graphs
Biganda Pitos Seleka, Abola Benard, Engström Christopher, Mango John Magero, Kakuba Godwin, and Silvestrov Sergei: Traditional and Lazy PageRanks for a Line of Nodes Connected with Complete Graphs
Malmberg Hannes and Hössjer Ola : Continuous Approximations of Discrete Choice Models Using Point Process Theory
Faybishenko Boris, Molz Fred, and Agarwal Deborah: Nonlinear Dynamics Simulations of Microbial Ecological Processes: Model, Diagnostic Parameters of Deterministic Chaos, and Sensitivity Analysis
Index.
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登録日 2020.06.27
更新日 2020.07.04