A Modern Theory Of Random Variation
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A Modern Theory Of Random Variation
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Author : Patrick Muldowney
language : en
Publisher: John Wiley & Sons
Release Date : 2013-04-26
A Modern Theory Of Random Variation written by Patrick Muldowney and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-26 with Science categories.
A ground-breaking and practical treatment of probability and stochastic processes A Modern Theory of Random Variation is a new and radical re-formulation of the mathematical underpinnings of subjects as diverse as investment, communication engineering, and quantum mechanics. Setting aside the classical theory of probability measure spaces, the book utilizes a mathematically rigorous version of the theory of random variation that bases itself exclusively on finitely additive probability distribution functions. In place of twentieth century Lebesgue integration and measure theory, the author uses the simpler concept of Riemann sums, and the non-absolute Riemann-type integration of Henstock. Readers are supplied with an accessible approach to standard elements of probability theory such as the central limmit theorem and Brownian motion as well as remarkable, new results on Feynman diagrams and stochastic integrals. Throughout the book, detailed numerical demonstrations accompany the discussions of abstract mathematical theory, from the simplest elements of the subject to the most complex. In addition, an array of numerical examples and vivid illustrations showcase how the presented methods and applications can be undertaken at various levels of complexity. A Modern Theory of Random Variation is a suitable book for courses on mathematical analysis, probability theory, and mathematical finance at the upper-undergraduate and graduate levels. The book is also an indispensible resource for researchers and practitioners who are seeking new concepts, techniques and methodologies in data analysis, numerical calculation, and financial asset valuation. Patrick Muldowney, PhD, served as lecturer at the Magee Business School of the UNiversity of Ulster for over twenty years. Dr. Muldowney has published extensively in his areas of research, including integration theory, financial mathematics, and random variation.
Modern Theory Of Summation Of Random Variables
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Author : Vladimir M. Zolotarev
language : en
Publisher: Walter de Gruyter
Release Date : 2011-09-06
Modern Theory Of Summation Of Random Variables written by Vladimir M. Zolotarev and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-06 with Mathematics categories.
The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
Modern Theory Of Summation Of Random Variables
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Author : V. M. Zolotarev
language : en
Publisher:
Release Date :
Modern Theory Of Summation Of Random Variables written by V. M. Zolotarev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Random Measures Theory And Applications
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Author : Olav Kallenberg
language : en
Publisher: Springer
Release Date : 2017-04-12
Random Measures Theory And Applications written by Olav Kallenberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-12 with Mathematics categories.
Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas.
Probability Theory
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Author : R.G. Laha
language : en
Publisher: Courier Dover Publications
Release Date : 2020-05-21
Probability Theory written by R.G. Laha and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-21 with Mathematics categories.
This comprehensive presentation of the basic concepts of probability theory examines both classical and modern methods. The treatment emphasizes the relationship between probability theory and mathematical analysis, and it stresses applications to statistics as well as to analysis. Topics include: • The laws of large numbers • Distribution and characteristic functions • The central limit problem • Dependence • Random variables taking values in a normed linear space Each chapter features worked examples in addition to problems, and bibliographical references to supplementary reading material enhance the text. For advanced undergraduates and graduate students in mathematics.
Gauge Integral Structures For Stochastic Calculus And Quantum Electrodynamics
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Author : Patrick Muldowney
language : en
Publisher: John Wiley & Sons
Release Date : 2021-04-20
Gauge Integral Structures For Stochastic Calculus And Quantum Electrodynamics written by Patrick Muldowney and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-20 with Mathematics categories.
GAUGE INTEGRAL STRUCTURES FOR STOCHASTIC CALCULUS AND QUANTUM ELECTRODYNAMICS A stand-alone introduction to specific integration problems in the probabilistic theory of stochastic calculus Picking up where his previous book, A Modern Theory of Random Variation, left off, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics introduces readers to particular problems of integration in the probability-like theory of quantum mechanics. Written as a motivational explanation of the key points of the underlying mathematical theory, and including ample illustrations of the calculus, this book relies heavily on the mathematical theory set out in the author’s previous work. That said, this work stands alone and does not require a reading of A Modern Theory of Random Variation in order to be understandable. Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics takes a gradual, relaxed, and discursive approach to the subject in a successful attempt to engage the reader by exploring a narrower range of themes and problems. Organized around examples with accompanying introductions and explanations, the book covers topics such as: Stochastic calculus, including discussions of random variation, integration and probability, and stochastic processes Field theory, including discussions of gauges for product spaces and quantum electrodynamics Robust and thorough appendices, examples, illustrations, and introductions for each of the concepts discussed within An introduction to basic gauge integral theory (for those unfamiliar with the author’s previous book) The methods employed in this book show, for instance, that it is no longer necessary to resort to unreliable “Black Box” theory in financial calculus; that full mathematical rigor can now be combined with clarity and simplicity. Perfect for students and academics with even a passing interest in the application of the gauge integral technique pioneered by R. Henstock and J. Kurzweil, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics is an illuminating and insightful exploration of the complex mathematical topics contained within.
Probability And Stochastics
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Author : Erhan Çınlar
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-21
Probability And Stochastics written by Erhan Çınlar 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 2011-02-21 with Mathematics categories.
This text is an introduction to the modern theory and applications of probability and stochastics. The style and coverage is geared towards the theory of stochastic processes, but with some attention to the applications. In many instances the gist of the problem is introduced in practical, everyday language and then is made precise in mathematical form. The first four chapters are on probability theory: measure and integration, probability spaces, conditional expectations, and the classical limit theorems. There follows chapters on martingales, Poisson random measures, Levy Processes, Brownian motion, and Markov Processes. Special attention is paid to Poisson random measures and their roles in regulating the excursions of Brownian motion and the jumps of Levy and Markov processes. Each chapter has a large number of varied examples and exercises. The book is based on the author’s lecture notes in courses offered over the years at Princeton University. These courses attracted graduate students from engineering, economics, physics, computer sciences, and mathematics. Erhan Cinlar has received many awards for excellence in teaching, including the President’s Award for Distinguished Teaching at Princeton University. His research interests include theories of Markov processes, point processes, stochastic calculus, and stochastic flows. The book is full of insights and observations that only a lifetime researcher in probability can have, all told in a lucid yet precise style.
Randomness And Elements Of Decision Theory Applied To Signals
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Author : Monica Borda
language : en
Publisher: Springer Nature
Release Date : 2021-12-10
Randomness And Elements Of Decision Theory Applied To Signals written by Monica Borda and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-10 with Computers categories.
This book offers an overview on the main modern important topics in random variables, random processes, and decision theory for solving real-world problems. After an introduction to concepts of statistics and signals, the book introduces many essential applications to signal processing like denoising, texture classification, histogram equalization, deep learning, or feature extraction. The book uses MATLAB algorithms to demonstrate the implementation of the theory to real systems. This makes the contents of the book relevant to students and professionals who need a quick introduction but practical introduction how to deal with random signals and processes
Teach Yourself Visually Iphone 6s
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Author : Guy Hart-Davis
language : en
Publisher: John Wiley & Sons
Release Date : 2015-10-05
Teach Yourself Visually Iphone 6s written by Guy Hart-Davis and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-05 with Computers categories.
A visual guide to the iPhone—now fully updated If you are a visual learner, Teach Yourself VISUALLY iPhone, 3rd Edition is the book for you with 500 full-color screenshots that clearly illustrate all the features your iPhone has to offer. Get the most from your iPhone, whether you're a beginner or an iPhone enthusiast who's learning the latest features, this easily accessible guide provides visually rich tutorials and step-by-step instructions that will help you unlock all your device has to offer. Learn the latest features of iOS Master the basic functions of your iPhone and customize your settings Ensure you're getting optimal performance from your iPhone Find the best apps and services to fit your personal and business needs
Ordered Random Variables Theory And Applications
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Author : Muhammad Qaiser Shahbaz
language : en
Publisher: Springer
Release Date : 2016-11-29
Ordered Random Variables Theory And Applications written by Muhammad Qaiser Shahbaz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-29 with Mathematics categories.
Ordered Random Variables have attracted several authors. The basic building block of Ordered Random Variables is Order Statistics which has several applications in extreme value theory and ordered estimation. The general model for ordered random variables, known as Generalized Order Statistics has been introduced relatively recently by Kamps (1995).
