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Pseudo-Regularly Varying Functions and Generalized Renewal Processes

by Valeriĭ V. Buldygin, Karl-Heinz Indlekofer, Oleg I. Klesov, Josef G. Steinebach ...

Series Book 91 - Probability Theory and Stochastic Modelling
One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of applied mathematics. On the other hand, regular variation of functions is a property that features prominently in ... Read more

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One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of applied mathematics. On the other hand, regular variation of functions is a property that features prominently in
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Series series Mathematics and Statistics (R0)
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This book provides a self-contained introduction to a new class of stochastic models for systems of spiking neurons. These systems have a large number of interacting components, each one evolving as a stochastic process with a memory of variable length. Several mathematical tools are put to use, such as Markov chains, stochastic chains having memory of variable length, point processes having
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Open Quantum Systems

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Series series Tutorials, Schools, and Workshops in the Mathematical Sciences
This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to ... Read more

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This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to
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Molecular Storms

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Series series Physics and Astronomy (R0)
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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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Probability and Stochastic Processes

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Series series Mathematics and Statistics (R0)
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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by Alastair G Young, Arni S.R. Srinivasa Rao, C.R. Rao ...

Series Book 47 - Handbook of Statistics
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Advancements in Bayesian Methods and Implementation, Volume 47 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on a variety of timely topics, including Fisher Information, Cramer-Rao and Bayesian Paradigm, Compound beta binomial distribution functions, MCMC for GLMMS, Signal Processing and Bayesian, Mathematical
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An Introduction to Probability

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This edition covers the standard materials to be expected in a course from a calculus-based course in probability. A new chapter is added to cover exchangeability, embedding, and Monte Carlo simulation.Contents:Preface to the First EditionPreface to the Second EditionNotations and AbbreviationsPermutation and CombinationAxioms of ProbabilityConditional ProbabilityRandom VariablesDis... ... Read more

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This edition covers the standard materials to be expected in a course from a calculus-based course in probability. A new chapter is added to cover exchangeability, embedding, and Monte Carlo simulation.Contents:Preface to the First EditionPreface to the Second EditionNotations and AbbreviationsPermutation and CombinationAxioms of ProbabilityConditional ProbabilityRandom VariablesDis...
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Occupancy Estimation and Modeling

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Occupancy Estimation and Modeling: Inferring Patterns and Dynamics of Species Occurrence, Second Edition, provides a synthesis of model-based approaches for analyzing presence-absence data, allowing for imperfect detection. Beginning from the relatively simple case of estimating the proportion of area or sampling units occupied at the time of surveying, the authors describe a wide variety of ... Read more

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Occupancy Estimation and Modeling: Inferring Patterns and Dynamics of Species Occurrence, Second Edition, provides a synthesis of model-based approaches for analyzing presence-absence data, allowing for imperfect detection. Beginning from the relatively simple case of estimating the proportion of area or sampling units occupied at the time of surveying, the authors describe a wide variety of
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Ruin Probabilities

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Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach deals with continuous-time risk models and covers several aspects of risk theory. The first of them is the smoothness of the survival probabilities. In particular, the book provides a detailed investigation of the continuity and differentiability of the infinite-horizon and finite-horizon survival probabilities for different risk
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Fundamentals of Matrix-Analytic Methods

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Fundamentals of Matrix-Analytic Methods targets advanced-level students in mathematics, engineering and computer science. It focuses on the fundamental parts of Matrix-Analytic Methods, Phase-Type Distributions, Markovian arrival processes and Structured Markov chains and matrix geometric solutions.New materials and techniques are presented for the first time in research and engineering design.
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Principles and Methods for Data Science

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Series Book 43 - Handbook of Statistics
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Earthquake Hazard and Risk

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Series Book 6 - Advances in Natural and Technological Hazards Research
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Genealogies Of Interacting Particle Systems

by Matthias Birkner, Rongfeng Sun, Jan M Swart ...

Series Book 38 - Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore
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Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems.The
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Series Book 194 - Cambridge Tracts in Mathematics
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This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium,
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Stochastic Models of Financial Mathematics

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This book presents a short introduction to continuous-time financial models. An overview of the basics of stochastic analysis precedes a focus on the Black–Scholes and interest rate models. Other topics covered include self-financing strategies, option pricing, exotic options and risk-neutral probabilities. Vasicek, Cox−Ingersoll−Ross, and Heath–Jarrow–Morton interest rate models are also explored ... Read more

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This book presents a short introduction to continuous-time financial models. An overview of the basics of stochastic analysis precedes a focus on the Black–Scholes and interest rate models. Other topics covered include self-financing strategies, option pricing, exotic options and risk-neutral probabilities. Vasicek, Cox−Ingersoll−Ross, and Heath–Jarrow–Morton interest rate models are also explored
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Elements Of Stochastic Dynamics

by Guo-qiang Cai, Weiqiu Zhu ...

Stochastic dynamics has been a subject of interest since the early 20th Century. Since then, much progress has been made in this field of study, and many modern applications for it have been found in fields such as physics, chemistry, biology, ecology, economy, finance, and many branches of engineering including Mechanical, Ocean, Civil, Bio, and Earthquake Engineering.Elements of Stochastic ... Read more

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Stochastic dynamics has been a subject of interest since the early 20th Century. Since then, much progress has been made in this field of study, and many modern applications for it have been found in fields such as physics, chemistry, biology, ecology, economy, finance, and many branches of engineering including Mechanical, Ocean, Civil, Bio, and Earthquake Engineering.Elements of Stochastic
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Introduction To Stochastic Processes

by Mu-fa Chen, Yong-hua Mao ...

Series Book 2 - World Scientific Series On Probability Theory And Its Applications
The objective of this book is to introduce the elements of stochastic processes in a rather concise manner where we present the two most important parts — Markov chains and stochastic analysis. The readers are led directly to the core of the main topics to be treated in the context. Further details and additional materials are left to a section containing abundant exercises for further reading and ... Read more

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The objective of this book is to introduce the elements of stochastic processes in a rather concise manner where we present the two most important parts — Markov chains and stochastic analysis. The readers are led directly to the core of the main topics to be treated in the context. Further details and additional materials are left to a section containing abundant exercises for further reading and
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Financial, Macro and Micro Econometrics Using R

by Hrishikesh D. Vinod, C.R. Rao ...

Series Book 42 - Handbook of Statistics
Financial, Macro and Micro Econometrics Using R, Volume 42, provides state-of-the-art information on important topics in econometrics, including multivariate GARCH, stochastic frontiers, fractional responses, specification testing and model selection, exogeneity testing, causal analysis and forecasting, GMM models, asset bubbles and crises, corporate investments, classification, forecasting, ... Read more

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Financial, Macro and Micro Econometrics Using R, Volume 42, provides state-of-the-art information on important topics in econometrics, including multivariate GARCH, stochastic frontiers, fractional responses, specification testing and model selection, exogeneity testing, causal analysis and forecasting, GMM models, asset bubbles and crises, corporate investments, classification, forecasting,
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Discrete-Time Semi-Markov Random Evolutions and Their Applications

by Nikolaos Limnios, Anatoliy Swishchuk ...

Series series Mathematics and Statistics (R0)
This book extends the theory and applications of random evolutions to semi-Markov random media in discrete time, essentially focusing on semi-Markov chains as switching or driving processes. After giving the definitions of discrete-time semi-Markov chains and random evolutions, it presents the asymptotic theory in a functional setting, including weak convergence results in the series scheme, and ... Read more

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This book extends the theory and applications of random evolutions to semi-Markov random media in discrete time, essentially focusing on semi-Markov chains as switching or driving processes. After giving the definitions of discrete-time semi-Markov chains and random evolutions, it presents the asymptotic theory in a functional setting, including weak convergence results in the series scheme, and
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Planar Maps, Random Walks and Circle Packing

École d'Été de Probabilités de Saint-Flour XLVIII - 2018

by Asaf Nachmias ...

Series Book 2243 - Lecture Notes in Mathematics
This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to ... Read more

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This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to
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Markov Random Flights

by Alexander D. Kolesnik ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Markov Random Flights is the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Markov random flights is a stochastic dynamic system subject to the control of an external Poisson process and represented by the stochastic motion of a particle that moves at constant finite speed and changes its direction at random Poisson time ... Read more

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Markov Random Flights is the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Markov random flights is a stochastic dynamic system subject to the control of an external Poisson process and represented by the stochastic motion of a particle that moves at constant finite speed and changes its direction at random Poisson time
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Stochastic Processes and Related Topics

Proceedings of the 12th Winter School, Siegmundsburg (Germany), February 27-March 4, 2000

Edited by Rainer Buckdahn, Hans J. Engelbert, Marc Yor ...

This volume comprises selected papers presented at the 12th Winter School on Stochastic Processes and their Applications, which was held in Siegmundsburg, Germany, in March 2000. The contents include Backward Stochastic Differential Equations; Semilinear PDE and SPDE; Arbitrage Theory; Credit Derivatives and Models for Correlated Defaults; Three In ... Read more

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This volume comprises selected papers presented at the 12th Winter School on Stochastic Processes and their Applications, which was held in Siegmundsburg, Germany, in March 2000. The contents include Backward Stochastic Differential Equations; Semilinear PDE and SPDE; Arbitrage Theory; Credit Derivatives and Models for Correlated Defaults; Three In
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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

RM 15.87

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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Signal Processing

A Mathematical Approach, Second Edition

by Charles L. Byrne ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics-including familiarity with Fourier series, matrices, probab ... Read more

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Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics-including familiarity with Fourier series, matrices, probab
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An Introduction to Probability

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Earthquake Hazard and Risk

Genealogies Of Interacting Particle Systems

Mathematics of Two-Dimensional Turbulence

Stochastic Models of Financial Mathematics

Elements Of Stochastic Dynamics

Introduction To Stochastic Processes

Financial, Macro and Micro Econometrics Using R

Discrete-Time Semi-Markov Random Evolutions and Their Applications

Planar Maps, Random Walks and Circle Packing

Markov Random Flights

Stochastic Processes and Related Topics

Übungen zu stochastischen Prozessen

Signal Processing