Kiyosi Ito's greatest contribution to probability theory may be his introduction of stochastic differential equations to explain the Kolmogorov-Feller theory of Markov processes.
A cornerstone of applied probability, Markov chains can be used to help model how plants grow, chemicals react, and atoms diffuse--and applications are increasingly being found in such areas as engineering, computer science, economics, and education.
Diffusive motion--displacement due to the cumulative effect of irregular fluctuations--has been a fundamental concept in mathematics and physics since Einstein's work on Brownian motion.
Quantal Response Equilibrium presents a stochastic theory of games that unites probabilistic choice models developed in psychology and statistics with the Nash equilibrium approach of classical game theory.
Fachbuch aus dem Jahr 2020 im Fachbereich Mathematik - Stochastik, Note: 1,7, Universität Hildesheim (Stiftung), Sprache: Deutsch, Abstract: In der folgenden Arbeit wird die Autorin die grundlegenden Begriffe definieren dieses Teils der Stochastik zu beschreiben.
Seminar paper from the year 2019 in the subject Mathematics - Stochastics, grade: A, University of Benin, language: English, abstract: The following work tries to examine and provide soultions to an array of equations, most notably the Brownian motion, the Ito-integral and their application to finance.
This book presents the proceedings of two minisymposia—“Delay and Stochastic Differential Equations in Life Sciences and Engineering” and “Stochastic Modelling in Finance”—held at the International Congress on Industrial and Applied Mathematics (ICIAM) 2023 in Tokyo, Japan.
This book presents the proceedings of two minisymposia—“Delay and Stochastic Differential Equations in Life Sciences and Engineering” and “Stochastic Modelling in Finance”—held at the International Congress on Industrial and Applied Mathematics (ICIAM) 2023 in Tokyo, Japan.
Computational neuroscience is the theoretical study of the brain to uncover the principles and mechanisms that guide the development, organization, information processing, and mental functions of the nervous system.
Computational neuroscience is the theoretical study of the brain to uncover the principles and mechanisms that guide the development, organization, information processing, and mental functions of the nervous system.
Ergodic theory provides a powerful lens for understanding dynamical systems, recasting disordered and seemingly random behavior in the language of probability theory.
Ergodic theory provides a powerful lens for understanding dynamical systems, recasting disordered and seemingly random behavior in the language of probability theory.
This thoroughly updated second edition offers a unified, modern pathway from the Kolmogorov foundations of probability to the tools of stochastic calculus—and on to applications in finance, statistics, and risk.
This thoroughly updated second edition offers a unified, modern pathway from the Kolmogorov foundations of probability to the tools of stochastic calculus—and on to applications in finance, statistics, and risk.
The aim of the present work is to give a unifying treatment of the four faces of the theory of generalized functions – linear, nonlinear, random and infinite dimensional distributions.
The aim of the present work is to give a unifying treatment of the four faces of the theory of generalized functions – linear, nonlinear, random and infinite dimensional distributions.
Celebrating the 90th birthday of the esteemed mathematician Terry Rockafellar, this volume brings together both research and survey papers that delve into the intricacies of convex analysis and its applications across various fields.
Celebrating the 90th birthday of the esteemed mathematician Terry Rockafellar, this volume brings together both research and survey papers that delve into the intricacies of convex analysis and its applications across various fields.
This book provides a guide for improving test statistics that are based on phi-divergence for discrete models, which include various kinds of independence models of contingency tables as well as generalized linear models of binary data.
This book provides a guide for improving test statistics that are based on phi-divergence for discrete models, which include various kinds of independence models of contingency tables as well as generalized linear models of binary data.
This book brings together the latest research on vibration fatigue and related topics from the first international event entirely dedicated to the field: a symposium held in Udine, Italy, on September 17–18, 2025, celebrating the 40th anniversary of Turan Dirlik’s doctoral thesis, which introduced the formula for the probability distribution of rainflow ranges.
This book brings together the latest research on vibration fatigue and related topics from the first international event entirely dedicated to the field: a symposium held in Udine, Italy, on September 17–18, 2025, celebrating the 40th anniversary of Turan Dirlik’s doctoral thesis, which introduced the formula for the probability distribution of rainflow ranges.
This book accounts in 5 independent parts, recent main developments of Stochastic Analysis: Gross-Stroock Sobolev space over a Gaussian probability space; quasi-sure analysis; anticipate stochastic integrals as divergence operators; principle of transfer from ordinary differential equations to stochastic differential equations; Malliavin calculus and elliptic estimates; stochastic Analysis in infinite dimension.
This book provides an undergraduate-level introduction to discrete and continuous-time Markov chains and their applications, with a particular focus on the first step analysis technique and its applications to the computation of average hitting times and ruin probabilities.
This book provides an undergraduate-level introduction to discrete and continuous-time Markov chains and their applications, with a particular focus on the first step analysis technique and its applications to the computation of average hitting times and ruin probabilities.
Produktions- und Logistikprozesse unterliegen systembedingt verschiedensten Unsicherheiten, die bei der Planung und Optimierung entsprechender Abläufe berücksichtigt werden müssen.
Produktions- und Logistikprozesse unterliegen systembedingt verschiedensten Unsicherheiten, die bei der Planung und Optimierung entsprechender Abläufe berücksichtigt werden müssen.
Understand the Strategic Behavior in Queueing SystemsRational Queueing provides one of the first unified accounts of the dynamic aspects involved in the strategic behavior in queues.
Multidimensional Signal Processing, Volume 54 in the Handbook of Statistics series is dedicated to presenting the latest developments and methodologies in multidimensional signal processing.
This volume contains almost all of the papers that were presented at the Workshop on Stochastic Theory and Control that was held at the Univ- sity of Kansas, 18-20 October 2001.
Fathom 2 ist eine einzigartige dynamische Stochastik- und Datenanalysesoftware, die den besonderen Bedürfnissen der schulischen und universitären Lehre gerecht wird und die hier erstmals in deutscher Adaption vorgelegt wird.