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Introduction to Stochastic Calculus

. The authors briefly addresses continuous semi-martingales to obtain growth estimates and study solution of a stochastic differential equation;

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Martingales and Stochastic Integrals

This book provides an introduction to the rapidly expanding theory of stochastic integration and martingales. The treatment is close to;

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Advanced Mathematical Tools for Automatic Control Engineers: Volume 2

time processes, including the concepts of random sequences, martingales, and limit theorems. Part III covers continuous time stochastic;

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Stochastic Analysis

martingales (particularly, continuous martingales of continuous paths), stochastic integrations with respect to continuous local martingales, and;

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Stochastic Analysis

martingales (particularly, continuous martingales of continuous paths), stochastic integrations with respect to continuous local martingales, and;

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Continuous Exponential Martingales and BMO

In three chapters on Exponential Martingales, BMO-martingales, and Exponential of BMO, this book explains in detail the beautiful;

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Backward Stochastic Differential Equations and BMO martingales

(BSDEs) and Bounded Mean Oscillation (BMO) martingales. In second chapter an interesting connections between theory of BSDEs and BMO martingales;

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Set-Valued Stochastic Integrals and Applications

, set-valued stochastic Lebesgue, and stochastic Aumann integrals, the volume is divided into nine parts. It begins with preliminaries;

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Set-Valued Stochastic Integrals and Applications

, set-valued stochastic Lebesgue, and stochastic Aumann integrals, the volume is divided into nine parts. It begins with preliminaries;

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Stochastic Differential Geometry at Saint-Flour

Kunita, H.:Stochastic differential equations and stochastic flows of diffeomorphisms.-Elworthy, D.: Geometric aspects of diffusions on;

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Stochastic Integrals

to learn about stochastic integrals. The author starts with the presentation of Brownian motion, then deals with stochastic integrals and;

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Censoring and Stochastic Integrals

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Set-Indexed Martingales

directed index set and set-indexed stochastic processes. Part One presents several classical concepts extended to this setting, including: stopping;

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Theory and Statistical Applications of Stochastic Processes

This book is concerned with the theory of stochastic processes and the theoretical aspects of statistics for stochastic processes. It;

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Survival and Event History Analysis

manifests itself fully. The common denominator of such models is stochastic processes. The authors show how counting processes, martingales, and;

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Measures, Integrals and Martingales

This book, first published in 2005, introduces measure and integration theory as it is needed in many parts of analysis and probability;

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An Introduction to Stochastic Integration

in probability. Using the modern approach, the stochastic integral is defined for predictable integrands and local martingales; then Itô’s change;

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Encyclopedia of Mathematics and its Applications

book presents this technique in the context of the directed set, stochastic processes indexed by directed sets, and many applications;

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Encyclopedia of Mathematics and its Applications

book presents this technique in the context of the directed set, stochastic processes indexed by directed sets, and many applications;

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Random Walk, Brownian Motion, and Martingales

. Random Walk, Brownian Motion, and Martingales is an ideal introduction to the rigorous study of stochastic processes. Students and instructors;

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Introduction to the Theory of Random Processes

, stationary processes, infinitely divisible processes, and Ito stochastic equations. Basics of discrete time martingales are also presented and then;

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Counterexamples in Measure and Integration

to the successful undergraduate textbook Measures, Integrals and Martingales, it is accessible to advanced undergraduate students, requiring;

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Counterexamples in Measure and Integration

to the successful undergraduate textbook Measures, Integrals and Martingales, it is accessible to advanced undergraduate students, requiring;

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Sequential Stochastic Optimization

Sequential Stochastic Optimization provides mathematicians and applied researchers with a well-developed framework in which stochastic;

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Stochastic Integration Theory

Finance, and Economics, the book not only covers the theory of the stochastic integral in great depth but also presents the associated theory;

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Stochastic Disorder Problems

as martingales, supermartingales, and stochastic integrals. There is a focus on the well-developed apparatus of Brownian motion, which;

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Stochastic PDEs and Dynamics

This book explains mathematical theories of a collection of stochastic partial differential equations and their dynamical behaviors. Based;

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