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Principles of Nonlinear Filtering Theory

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This text presents a comprehensive and unified treatment of nonlinear filtering theory, with a strong emphasis on its mathematical underpinnings. It is tailored to meet the needs of a diverse readership, including mathematically inclined engineers and scientists at both graduate and post-graduate levels. What sets this book apart from other treatments of the topic is twofold. Firstly, it offers a ... Read more

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This text presents a comprehensive and unified treatment of nonlinear filtering theory, with a strong emphasis on its mathematical underpinnings. It is tailored to meet the needs of a diverse readership, including mathematically inclined engineers and scientists at both graduate and post-graduate levels. What sets this book apart from other treatments of the topic is twofold. Firstly, it offers a
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Series Book 17 - Interdisciplinary Mathematical Sciences
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This book contains original research papers by leading experts in the fields of probability theory, stochastic analysis, potential theory and mathematical physics. There is also a historical account on Masatoshi Fukushima's contribution to mathematics, as well as authoritative surveys on the state of the art in the field.
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Mathematical Foundations of Nature-Inspired Algorithms

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Series series Mathematics and Statistics (R0)
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This book presents a systematic approach to analyze nature-inspired algorithms. Beginning with an introduction to optimization methods and algorithms, this book moves on to provide a unified framework of mathematical analysis for convergence and stability. Specific nature-inspired algorithms include: swarm intelligence, ant colony optimization, particle swarm optimization, bee-inspired algorithms,
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Teaching and Learning Stochastics

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Series series ICME-13 Monographs
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This book presents a collection of selected papers that represent the current variety of research on the teaching and learning of probability. The respective chapters address a diverse range of theoretical, empirical and practical aspects underpinning the teaching and learning of probability, curricular issues, probabilistic reasoning, misconceptions and biases, as well as their pedagogical
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Stochastic Processes and Financial Mathematics

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Applied Linear Algebra, Probability and Statistics

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Classical and Spatial Stochastic Processes

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Mathematics Of Open Quantum Systems, The: Dissipative And Non-unitary Representations And Quantum Measurements

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This book presents new developments in the open quantum systems theory with emphasis on applications to the (frequent) measurement theory.In the first part of the book, the uniqueness theorems for the solutions to the restricted Weyl commutation relations braiding unitary groups and semi-groups of contractions are discussed. The major theme involves an intrinsic characterization of the simplest
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Applied Probability and Stochastic Processes

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Series series Infosys Science Foundation Series
This book gathers selected papers presented at the International Conference on Advances in Applied Probability and Stochastic Processes, held at CMS College, Kerala, India, on 7–10 January 2019. It showcases high-quality research conducted in the field of applied probability and stochastic processes by focusing on techniques for the modelling and analysis of systems evolving with time. Further, it ... Read more

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Earthquake Hazard and Risk

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This book demonstrates how nonlinear/non-Gaussian Bayesian time series estimation methods were used to produce a probability distribution of potential MH370 flight paths. It provides details of how the probabilistic models of aircraft flight dynamics, satellite communication system measurements, environmental effects and radar data were constructed and calibrated. The probability distribution was
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Diffusion in Random Fields

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This book presents, in an accessible and self-consistent way, the theory of diffusion in random velocity fields, together with robust numerical simulation approaches. The focus is on transport processes in natural porous media, with applications to contaminant transport in groundwater. Starting from basic information on stochastic processes, more challenging issues are subsequently addressed, such
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Probability and Stochastic Processes

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The book collects papers on several topics in probability and stochastic processes. These papers have been presented at a conference organised in honour of Professor Rajeeva L. Karandikar who turned 65 in 2021. He was a distinguished researcher and a teacher at the Indian Statistical Institute (ISI), Delhi Centre, for many years. He has been a multi-faceted academician, interacting with the ... Read more

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The book collects papers on several topics in probability and stochastic processes. These papers have been presented at a conference organised in honour of Professor Rajeeva L. Karandikar who turned 65 in 2021. He was a distinguished researcher and a teacher at the Indian Statistical Institute (ISI), Delhi Centre, for many years. He has been a multi-faceted academician, interacting with the
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Particle emission concept and probabilistic consideration of the development of infections in systems

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The book describes the possibility of making a probabilistic prognosis, which uses the mean n-day logarithm of case numbers in the past to determine an exponent for a probability density for a prognosis, as well as the particle emission concept, which is derived from contact and distribution rates that increase the exponent of the probable development to the extent that a group of people can be
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On Stein's Method for Infinitely Divisible Laws with Finite First Moment

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Series series SpringerBriefs in Probability and Mathematical Statistics
This book focuses on quantitative approximation results for weak limit theorems when the target limiting law is infinitely divisible with finite first moment. Two methods are presented and developed to obtain such quantitative results. At the root of these methods stands a Stein characterizing identity discussed in the third chapter and obtained thanks to a covariance representation of infinitely ... Read more

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This book focuses on quantitative approximation results for weak limit theorems when the target limiting law is infinitely divisible with finite first moment. Two methods are presented and developed to obtain such quantitative results. At the root of these methods stands a Stein characterizing identity discussed in the third chapter and obtained thanks to a covariance representation of infinitely
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A Little Book of Martingales

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Series series Mathematics and Statistics (R0)
This concise textbook, fashioned along the syllabus for master’s and Ph.D. programmes, covers basic results on discrete-time martingales and applications. It includes additional interesting and useful topics, providing the ability to move beyond. Adequate details are provided with exercises within the text and at the end of chapters. Basic results include Doob’s optional sampling theorem, Wald ... Read more

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This concise textbook, fashioned along the syllabus for master’s and Ph.D. programmes, covers basic results on discrete-time martingales and applications. It includes additional interesting and useful topics, providing the ability to move beyond. Adequate details are provided with exercises within the text and at the end of chapters. Basic results include Doob’s optional sampling theorem, Wald
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Molecular Storms

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Series series Physics and Astronomy (R0)
“Following in the footsteps of Stephen Hawking's ‘A brief history of time’ and Simon Singh's ‘Fermat’s Last Theorem’ this exceptionally accessible book will you leave marveling at the wonders of the world and, if you didn't listen to your science teachers, wishing you had. Graham writes with the mind of a physicist and the soul of a poet.”Nicki Hayes, CCO, The Communications Practice, author of ... Read more

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“Following in the footsteps of Stephen Hawking's ‘A brief history of time’ and Simon Singh's ‘Fermat’s Last Theorem’ this exceptionally accessible book will you leave marveling at the wonders of the world and, if you didn't listen to your science teachers, wishing you had. Graham writes with the mind of a physicist and the soul of a poet.”Nicki Hayes, CCO, The Communications Practice, author of
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Übungen zu stochastischen Prozessen

by Simone Malacrida ...

In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Markov-Ketten und Markovsche stochastische Prozessezeitabhängige und zeitunabhängige stochastische ProzesseIrrfahrten und Brownsche BewegungAußerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen. ... Read more

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In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Markov-Ketten und Markovsche stochastische Prozessezeitabhängige und zeitunabhängige stochastische ProzesseIrrfahrten und Brownsche BewegungAußerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen.
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Machine Learning for Finance

Build Next-Gen AI Systems for Trading, Forecasting, Risk, and Compliance

by Ahmed Menshawy, Mahmoud Fahmy, Ajaz Siddiqui ...

Master ML for financial systems with practical workflows using Python, GenAI, and modern ML deployment tools. Includes hands-on projects in trading, fraud detection, portfolio optimization, and regulatory compliance.Key FeaturesPractical machine learning techniques for financial data and time-series forecastingApply GenAI for synthetic data generation, financial NLP, and reporting automationDeploy ... Read more

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PRE-ORDER

Master ML for financial systems with practical workflows using Python, GenAI, and modern ML deployment tools. Includes hands-on projects in trading, fraud detection, portfolio optimization, and regulatory compliance.Key FeaturesPractical machine learning techniques for financial data and time-series forecastingApply GenAI for synthetic data generation, financial NLP, and reporting automationDeploy
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General Stochastic Measures

Integration, Path Properties and Equations

by Vadym M. Radchenko ...

This book is devoted to the study of stochastic measures (SMs). An SM is a sigma-additive in probability random function, defined on a sigma-algebra of sets. SMs can be generated by the increments of random processes from many important classes such as square-integrable martingales and fractional Brownian motion, as well as alpha-stable processes. SMs include many well-known stochastic integrators ... Read more

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This book is devoted to the study of stochastic measures (SMs). An SM is a sigma-additive in probability random function, defined on a sigma-algebra of sets. SMs can be generated by the increments of random processes from many important classes such as square-integrable martingales and fractional Brownian motion, as well as alpha-stable processes. SMs include many well-known stochastic integrators
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Semi-Markov Models

Control of Restorable Systems with Latent Failures

by Yuriy E Obzherin, Elena G Boyko ...

Featuring previously unpublished results, Semi-Markov Models: Control of Restorable Systems with Latent Failures describes valuable methodology which can be used by readers to build mathematical models of a wide class of systems for various applications. In particular, this information can be applied to build models of reliability, queuing systems, and technical control. Beginning with a brief ... Read more

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Featuring previously unpublished results, Semi-Markov Models: Control of Restorable Systems with Latent Failures describes valuable methodology which can be used by readers to build mathematical models of a wide class of systems for various applications. In particular, this information can be applied to build models of reliability, queuing systems, and technical control. Beginning with a brief
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Probability eBooks

Principles of Nonlinear Filtering Theory

Festschrift Masatoshi Fukushima: In Honor Of Masatoshi Fukushima's Sanju

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Teaching and Learning Stochastics

Stochastic Processes and Financial Mathematics

Applied Linear Algebra, Probability and Statistics

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Classical and Spatial Stochastic Processes

Modeling Practical Problems in Complex Systems

Mathematics Of Open Quantum Systems, The: Dissipative And Non-unitary Representations And Quantum Measurements

Applied Probability and Stochastic Processes

Earthquake Hazard and Risk

Simulation

Bayesian Methods in the Search for MH370

Diffusion in Random Fields

Probability and Stochastic Processes

Particle emission concept and probabilistic consideration of the development of infections in systems

On Stein's Method for Infinitely Divisible Laws with Finite First Moment

A Little Book of Martingales

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Übungen zu stochastischen Prozessen

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General Stochastic Measures

Semi-Markov Models