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The fractal geometry of nature
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Benoit B. Mandelbrot
"...a blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) ...and the illustrations include many superb examples of computer graphics that are works of art in their own right." ...
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Struck by Lightning: The Curious World of Probabilities
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by
Jeffrey S Rosenthal
From terrorist attacks to big money jackpots, "Struck by Lightning" deconstructs the odds and oddities of chance, examining both the relevant and irreverent role of randomness in our everyday lives. Human beings have long been both fascinated and appalled by randomness. On one hand, we love the thrill of a surprise party, the unpredictability of a ...
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Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers
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by
Roy D Yates, David J Goodman
What Does Winning the Lottery Have To do with Engineering? Whether you're trying to win millions in the lottery or designing a complex computer network, you're applying probability theory. Although you encounter probability applications everywhere, the theory can be deceptively difficult to learn and apply correctly. This text will help you grasp ...
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Probability, Random Variables and Stochastic Processes
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by
Papoulis
The fourth edition of "Probability, Random Variables and Stochastic Processes" has been updated significantly from the previous edition, and it now includes co-author S. Unnikrishna Pillai of Polytechnic University. The book is intended for a senior/graduate level course in probability and is aimed at students in electrical engineering, math, and ...
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An introduction to stochastic modeling
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by
Howard M Taylor
Serving as the foundation for a one-semester course in stochastic processes for students familiar with elementary probability theory and calculus, "Introduction to Stochastic Modeling, Third Edition" bridges the gap between basic probability and an intermediate level course in stochastic processes. The objectives of the text are to introduce ...
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Stochastic Processes
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by
Sheldon M Ross
A nonmeasure theoretic introduction to stochastic processes. Considers its diverse range of applications and provides readers with probabilistic intuition and insight in thinking about problems. This revised edition contains additional material on compound Poisson random variables including an identity which can be used to efficiently compute ...
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Chance and Chaos
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by
David Ruelle
How do scientists look at chance, or randomness, and chaos in physical systems? In this study, David Ruelle explores game theory, probability, classical chaos and quantum uncertainty among many other topics. Since many systems are highly sensitive to initial conditions, the consequences of tiny exchanges in the variables can be enormous. Ruelle ...
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Schaum's Outline of Probability, Random Variables, and Random Processes
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Hwei Hsu, PH.D., Hsu Hwei
This is an excellent learning aid which can be used by all students of engineering. It treats many advanced topics including spectral analysis of random processes and applications to signal detection, estimation, information theory and coding, reliability, and queuing theory. It is an excellent review aid for professional license exams.
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Problems in probability theory, mathematical statistics and theory of random functions
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by
A. A. Sveshnikov
Approximately 1,000 problems (with answers and solutions at the back) illustrate such topics as random events, random variables, limit theorems, Markov processes, etc.
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Handbook of stochastic methods for physics, chemistry and the natural sciences
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by
Gardiner
This valuable and highly-praised reference collects and explains, in simple language and reasonably deductive form, those formulas and methods and their applications used in modern Statistical Physics, including the foundations of Markov systems, stochastic differential equations, Fokker-Planck equations, approximation methods, chemical master ...
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Probability and Random Processes
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by
Geoffrey Grimmett
The third edition of this successful text gives a rigorous introduction to probability theory and the discussion of the most important random processes in some depth. It includes various topics which are suitable for undergraduate courses, but are not routinely taught. It is suitable to the beginner, and provides a taste and encouragement for more ...
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Stochastic Processes
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by
Emanuel Parzen
This introductory textbook explains how and why probability models are applied to scientific fields such as medicine, biology, physics, oceanography, economics, and psychology to solve problems about stochastic processes. It does not just show how a problem is solved but explains why by formulating questions and first steps in the solutions. ...
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Stochastic processes and filtering theory
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by
Andrew H. Jazwinski
This book presents a unified treatment of linear and nonlinear filtering theory for engineers, with sufficient emphasis on applications to enable the reader to use the theory. The need for this book is twofold. First, although linear estimation theory is relatively well known, it is largely scattered in the journal literature and has not been ...
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Probability and Random Processes for Electrical Engineering
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by
Alberto Leon-Garcia
This textbook offers an interesting, straightforward introduction to probability and random processes. While helping students to develop their problem-solving skills, the book enables them to understand how to make the transition from real problems to probability models for those problems. To keep students motivated, the author uses a number of ...
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The art of modeling dynamic systems forecasting for chaos, randomness and determinism
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by
Morrison
This text has been designed to shows engineers and scientists how, by the application of statistical methods, co-ordinate transformations and mathematical analysis, any complex, unpredictable dynamical systems can be mapped. It describes the various modelling tools, their benefits and their limitations. Examples and analogies are used in place of ...
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Econometric Modelling of Financial Time Series
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by
Terence C Mills
Substantially revised and updated second edition of Terry Mills' best-selling graduate textbook The Econometric Modelling of Financial Time Series. The book provides detailed coverage of the variety of models that are currently being used in the empirical analysis of financial markets. Covering bond, equity and foreign exchange markets, it is ...
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Stochastic Processes
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by
Joseph L Doob
The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. ...
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Probability and Random Processes for Electrical and Computer Engineers
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by
John A Gubner
The theory of probability is a powerful tool that helps electrical and computer engineers to explain, model, analyze, and design the technology they develop. The text begins at the advanced undergraduate level, assuming only a modest knowledge of probability, and progresses through more complex topics mastered at graduate level. The first five ...
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One Thousand Exercises in Probability
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Geoffrey R Grimmett, David R Stirzaker
This book is a revised, updated and greatly expanded version of the authors' "Probability and Random Processes: Problems and Solutions", first published in 1992. The 1000+ exercises contained within are not merely drill problems but have been chosen to illustrate the concepts, illuminate the subject, and both inform and entertain the student. ...
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Random Signals: Detection, Estimation and Data Analysis
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Sam Shanmugan, Arthur M Breipohl, K Sam Shanmugan
This treatise develops the theory of random processes and its application to the study of systems and the analysis of random data. The text covers three important areas: fundamentals and examples of random process models; application of probabilistic models - signal detection and filtering; and statistical estimation - the measurement and analysis ...
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The theory of stochastic processes
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D R Cox, H D Miller
This book should be of interest to undergraduate and postgraduate students of probability theory.
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Statistics of random processes
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by
Liptser, Shiriaev
The subject of these two volumes is non-linear filtering (prediction and smoothing) theory and its application to the problem of optimal estimation, control with incomplete data, information theory, and sequential testing of hypothesis. The book is not only addressed to mathematicians but should also serve the interests of other scientists who ...
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Probability, Statistics, and Random Processes for Electrical Engineering
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by
Alberto Leon-Garcia
While helping students to develop their problem-solving skills, the author motivates students with practical applications from various areas of ECE that demonstrate the relevance of probability theory to engineering practice.
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Essentials of Stochastic Processes
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by
Richard Durrett, Rick Durrett
This test is designed for a Master's Level course in stochastic processes. It features the introduction and use of martingales, which allow one to do much more with Brownian motion, e.g., option pricing, and queueing theory is integrated into the Continuous Time Markov Chain and Renewal Theory chapters as examples.
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Random Processes in Automatic Control
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by
J. Halcombe Laning, Richard H. Battin
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