Stochastic Processes And Their Applications


Stochastic Processes And Their Applications
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Stochastic Processes And Their Applications


Stochastic Processes And Their Applications
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Author : Frank Beichelt
language : en
Publisher: CRC Press
Release Date : 2001-10-18

Stochastic Processes And Their Applications written by Frank Beichelt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-18 with Mathematics categories.


This book introduces stochastic processes and their applications for students in engineering, industrial statistics, science, operations research, business, and finance. It provides the theoretical foundations for modeling time-dependent random phenomena encountered in these disciplines. Through numerous science and engineering-based examples and exercises, the author presents the subject in a comprehensible, practically oriented way, but he also includes some important proofs and theoretically challenging examples and exercises that will appeal to more mathematically minded readers. Solutions to most of the exercises are included either in an appendix or within the text.



An Introduction To Stochastic Processes And Their Applications


An Introduction To Stochastic Processes And Their Applications
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Author : Petar Todorovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

An Introduction To Stochastic Processes And Their Applications written by Petar Todorovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This text on stochastic processes and their applications is based on a set of lectures given during the past several years at the University of California, Santa Barbara (UCSB). It is an introductory graduate course designed for classroom purposes. Its objective is to provide graduate students of statistics with an overview of some basic methods and techniques in the theory of stochastic processes. The only prerequisites are some rudiments of measure and integration theory and an intermediate course in probability theory. There are more than 50 examples and applications and 243 problems and complements which appear at the end of each chapter. The book consists of 10 chapters. Basic concepts and definitions are pro vided in Chapter 1. This chapter also contains a number of motivating ex amples and applications illustrating the practical use of the concepts. The last five sections are devoted to topics such as separability, continuity, and measurability of random processes, which are discussed in some detail. The concept of a simple point process on R+ is introduced in Chapter 2. Using the coupling inequality and Le Cam's lemma, it is shown that if its counting function is stochastically continuous and has independent increments, the point process is Poisson. When the counting function is Markovian, the sequence of arrival times is also a Markov process. Some related topics such as independent thinning and marked point processes are also discussed. In the final section, an application of these results to flood modeling is presented.



Stochastic Processes And Their Applications


Stochastic Processes And Their Applications
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Author : Kiyosi Ito
language : en
Publisher:
Release Date : 2014-09-01

Stochastic Processes And Their Applications written by Kiyosi Ito and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.




Stochastic Processes


Stochastic Processes
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Author : Narahari Umanath Prabhu
language : en
Publisher: World Scientific
Release Date : 2007

Stochastic Processes written by Narahari Umanath Prabhu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


Most introductory textbooks on stochastic processes which cover standard topics such as Poisson process, Brownian motion, renewal theory and random walks deal inadequately with their applications. Written in a simple and accessible manner, this book addresses that inadequacy and provides guidelines and tools to study the applications. The coverage includes research developments in Markov property, martingales, regenerative phenomena and Tauberian theorems, and covers measure theory at an elementary level.



Stochastic Processes And Their Applications


Stochastic Processes And Their Applications
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Author : Sergio Albeverio
language : en
Publisher: Springer Science & Business Media
Release Date : 1990-09-30

Stochastic Processes And Their Applications written by Sergio Albeverio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-30 with Mathematics categories.


'Et moi, ... , si j'avait su comment en revenIT, One service mathematics has rendered the je n'y serais point allt\.' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. :; 'One service logic has rendered com­ puter science .. :; 'One service category theory has rendered mathematics .. :. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.



Stochastic Processes And Their Applications


Stochastic Processes And Their Applications
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Author : Sergio Albeverio
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stochastic Processes And Their Applications written by Sergio Albeverio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


'Et moi ..., si j'avait su comment en revenIT, One service mathematics has rendered the je n'y serais point allt\.' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. :; 'One service logic has rendered com puter science .. :; 'One service category theory has rendered mathematics .. :. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.



Stochastic Processes With Applications


Stochastic Processes With Applications
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Author : Rabi N. Bhattacharya
language : en
Publisher: SIAM
Release Date : 2009-08-27

Stochastic Processes With Applications written by Rabi N. Bhattacharya and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-27 with Mathematics categories.


This book develops systematically and rigorously, yet in an expository and lively manner, the evolution of general random processes and their large time properties such as transience, recurrence, and convergence to steady states. The emphasis is on the most important classes of these processes from the viewpoint of theory as well as applications, namely, Markov processes. The book features very broad coverage of the most applicable aspects of stochastic processes, including sufficient material for self-contained courses on random walks in one and multiple dimensions; Markov chains in discrete and continuous times, including birth-death processes; Brownian motion and diffusions; stochastic optimization; and stochastic differential equations. This book is for graduate students in mathematics, statistics, science and engineering, and it may also be used as a reference by professionals in diverse fields whose work involves the application of probability.



An Introduction To Stochastic Processes And Their Applications


An Introduction To Stochastic Processes And Their Applications
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Author : Chin Long Chiang
language : en
Publisher: Krieger Publishing Company
Release Date : 1980

An Introduction To Stochastic Processes And Their Applications written by Chin Long Chiang and has been published by Krieger Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Biomathematics categories.


Random variables. Probability generating functions. Exponential-type distributions and maximum likelihood estimation. Branching process, random walk and ruin problem. Markov chains. Algebraic treatment of finite Markov chains. Renewal processes. Some stochastic models of population growth. A general birth process, an equality and an epidemic model. Birth-death processes and queueing processes. A simple illness-death process - fix-neyman processes. Multiple transition probabilities in the simple illness death process. Multiple transition time in the simple illness death process - an alternating renewal process. The kolmogorov differential equations and finite markov processes. Kolmogorov differential equations and finite markov processes - continuation. A general illness-death process. Migration processes and birth-illness-death processes.



Stochastic Processes With Applications


Stochastic Processes With Applications
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Author : Antonio Di Crescenzo
language : en
Publisher: MDPI
Release Date : 2019-11-28

Stochastic Processes With Applications written by Antonio Di Crescenzo and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-28 with Mathematics categories.


Stochastic processes have wide relevance in mathematics both for theoretical aspects and for their numerous real-world applications in various domains. They represent a very active research field which is attracting the growing interest of scientists from a range of disciplines. This Special Issue aims to present a collection of current contributions concerning various topics related to stochastic processes and their applications. In particular, the focus here is on applications of stochastic processes as models of dynamic phenomena in research areas certain to be of interest, such as economics, statistical physics, queuing theory, biology, theoretical neurobiology, and reliability theory. Various contributions dealing with theoretical issues on stochastic processes are also included.



Stochastic Processes And Their Applications In Artificial Intelligence


Stochastic Processes And Their Applications In Artificial Intelligence
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Author : Ananth, Christo
language : en
Publisher: IGI Global
Release Date : 2023-07-10

Stochastic Processes And Their Applications In Artificial Intelligence written by Ananth, Christo and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-10 with Mathematics categories.


Stochastic processes have a wide range of applications ranging from image processing, neuroscience, bioinformatics, financial management, and statistics. Mathematical, physical, and engineering systems use stochastic processes for modeling and reasoning phenomena. While comparing AI-stochastic systems with other counterpart systems, we are able to understand their significance, thereby applying new techniques to obtain new real-time results and solutions. Stochastic Processes and Their Applications in Artificial Intelligence opens doors for artificial intelligence experts to use stochastic processes as an effective tool in real-world problems in computational biology, speech recognition, natural language processing, and reinforcement learning. Covering key topics such as social media, big data, and artificial intelligence models, this reference work is ideal for mathematicians, industry professionals, researchers, scholars, academicians, practitioners, instructors, and students.