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An Introduction to Continuous-Time Stochastic Processes: Theory, Models, and Applications to Finance, Biology, and Medicine

Price range: ₹4,827.00 through ₹6,495.00
Introduces readers to the theory of continuous-time stochastic processes using real-life examples in medicine, finance, and biology Includes updated exercises, examples, and material based on advances in recent literature Illustrates the ways that similar stochastic methods can be applied broadly across different fields
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An Introduction to Continuous-Time Stochastic Processes: Theory, Models, and Applications to Finance, Biology, and Medicine

Price range: ₹4,827.00 through ₹6,495.00
Introduces readers to the theory of continuous-time stochastic processes using real-life examples in medicine, finance, and biology Includes updated exercises, examples, and material based on advances in recent literature Illustrates the ways that similar stochastic methods can be applied broadly across different fields
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Concentration of Maxima and Fundamental Limits in High-Dimensional Testing and Inference

Original price was: ₹6,033.00.Current price is: ₹4,827.00.
Provides a unified exposition of fundamental problems in high-dimensional statistics Tackles canonical problems of detection and support estimation for sparse signals observed with noise Gives an application to statistical genetics
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Concentration of Maxima and Fundamental Limits in High-Dimensional Testing and Inference

Original price was: ₹6,033.00.Current price is: ₹4,827.00.
Provides a unified exposition of fundamental problems in high-dimensional statistics Tackles canonical problems of detection and support estimation for sparse signals observed with noise Gives an application to statistical genetics
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Morphological Models of Random Structures

Original price was: ₹19,064.00.Current price is: ₹15,252.00.
Most basic models of random structures are thoroughly investigated and illustrated, starting from their mathematical construction, their probabilistic properties, and their identification from data A comprehensive group of models and their links are available to the reader, helping him to develop his own research. The presentation is completed by exercises Applications of random models to the physics of random media will be helpful to researchers and engineers for their understanding and predictive use of well established and some new models of microstructures
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Morphological Models of Random Structures

Original price was: ₹19,064.00.Current price is: ₹15,252.00.
Most basic models of random structures are thoroughly investigated and illustrated, starting from their mathematical construction, their probabilistic properties, and their identification from data A comprehensive group of models and their links are available to the reader, helping him to develop his own research. The presentation is completed by exercises Applications of random models to the physics of random media will be helpful to researchers and engineers for their understanding and predictive use of well established and some new models of microstructures
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Random Walk, Brownian Motion, and Martingales

Original price was: ₹7,075.00.Current price is: ₹5,661.00.
This textbook offers an approachable introduction to stochastic processes that explores the four pillars of random walk, branching processes, Brownian motion, and martingales. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an ideal basis for further study. Consisting of many short chapters, the book begins with a comprehensive account of the simple random walk in one dimension. From here, different paths may be chosen according to interest. Themes span Poisson processes, branching processes, the Kolmogorov–Chentsov theorem, martingales, renewal theory, and Brownian motion. Special topics follow, showcasing a selection of important contemporary applications, including mathematical finance, optimal stopping, ruin theory, branching random walk, and equations of fluids. Engaging exercises accompany the theory throughout. Random Walk, Brownian Motion, and Martingales is an ideal introduction to the rigorous study of stochastic processes. Students and instructors alike will appreciate the accessible, example-driven approach. A single, graduate-level course in probability is assumed.
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Random Walk, Brownian Motion, and Martingales

Original price was: ₹7,075.00.Current price is: ₹5,661.00.
This textbook offers an approachable introduction to stochastic processes that explores the four pillars of random walk, branching processes, Brownian motion, and martingales. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an ideal basis for further study. Consisting of many short chapters, the book begins with a comprehensive account of the simple random walk in one dimension. From here, different paths may be chosen according to interest. Themes span Poisson processes, branching processes, the Kolmogorov–Chentsov theorem, martingales, renewal theory, and Brownian motion. Special topics follow, showcasing a selection of important contemporary applications, including mathematical finance, optimal stopping, ruin theory, branching random walk, and equations of fluids. Engaging exercises accompany the theory throughout. Random Walk, Brownian Motion, and Martingales is an ideal introduction to the rigorous study of stochastic processes. Students and instructors alike will appreciate the accessible, example-driven approach. A single, graduate-level course in probability is assumed.
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Stochastic Systems with Time Delay: Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium

Original price was: ₹15,937.00.Current price is: ₹12,750.00.
Nominated as an outstanding Ph.D. thesis by the Technische Universität Berlin, Berlin, Germany Addresses and advances the challenging problem of strongly fluctuating systems that include time delay Predicts intriguing thermodynamic properties such as reversed heat flow in non-Markovian systems
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Stochastic Systems with Time Delay: Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium

Original price was: ₹15,937.00.Current price is: ₹12,750.00.
Nominated as an outstanding Ph.D. thesis by the Technische Universität Berlin, Berlin, Germany Addresses and advances the challenging problem of strongly fluctuating systems that include time delay Predicts intriguing thermodynamic properties such as reversed heat flow in non-Markovian systems
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Upper and Lower Bounds for Stochastic Processes: Decomposition Theorems

Original price was: ₹15,936.00.Current price is: ₹12,750.00.
This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes. Starting from first principles, it takes the reader to the frontier of current research. This second edition has been completely rewritten, offering substantial improvements to the exposition and simplified proofs, as well as new results. The book starts with a thorough account of the generic chaining, a remarkably simple and powerful method to bound a stochastic process that should belong to every probabilist’s toolkit. The effectiveness of the scheme is demonstrated by the characterization of sample boundedness of Gaussian processes. Much of the book is devoted to exploring the wealth of ideas and results generated by thirty years of efforts to extend this result to more general classes of processes, culminating in the recent solution of several key conjectures. A large part of this unique book is devoted to the author’s influential work. While many of the results presented are rather advanced, others bear on the very foundations of probability theory. In addition to providing an invaluable reference for researchers, the book should therefore also be of interest to a wide range of readers.
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Upper and Lower Bounds for Stochastic Processes: Decomposition Theorems

Original price was: ₹15,936.00.Current price is: ₹12,750.00.
This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes. Starting from first principles, it takes the reader to the frontier of current research. This second edition has been completely rewritten, offering substantial improvements to the exposition and simplified proofs, as well as new results. The book starts with a thorough account of the generic chaining, a remarkably simple and powerful method to bound a stochastic process that should belong to every probabilist’s toolkit. The effectiveness of the scheme is demonstrated by the characterization of sample boundedness of Gaussian processes. Much of the book is devoted to exploring the wealth of ideas and results generated by thirty years of efforts to extend this result to more general classes of processes, culminating in the recent solution of several key conjectures. A large part of this unique book is devoted to the author’s influential work. While many of the results presented are rather advanced, others bear on the very foundations of probability theory. In addition to providing an invaluable reference for researchers, the book should therefore also be of interest to a wide range of readers.
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