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GARCH Models: Structure, Statistical Inference and Financial Applications
GARCH Models: Structure, Statistical Inference and Financial Applications

Provides a comprehensive and updated study of GARCH models and their applications in finance, covering new developments in the discipline

This book provides a comprehensive and systematic approach to understanding GARCH time series models and their applications whilst presenting the most advanced results...

Aha! Solutions (MAA Problem Book Series)
Aha! Solutions (MAA Problem Book Series)

Every mathematician (beginner, amateur, and professional alike) thrills to find simple, elegant solutions to seemingly difficult problems. Such happy resolutions are called ``aha! solutions,'' a phrase popularized by mathematics and science writer Martin Gardner. Aha! solutions are surprising, stunning, and scintillating: they reveal the beauty...

Discrete Mathematics DeMYSTiFied
Discrete Mathematics DeMYSTiFied
In today’s world, analytical thinking is a critical part of any solid education. An important segment of this kind of reasoning—one that cuts across many disciplines—is discrete mathematics. Discrete math concerns counting, probability, (sophisticated forms of) addition, and limit processes over discrete sets. Combinatorics, graph...
Markov Chains and Stochastic Stability (Cambridge Mathematical Library)
Markov Chains and Stochastic Stability (Cambridge Mathematical Library)
'This second edition remains true to the remarkable standards of scholarship established by the first edition ... it will no doubt be a very welcome addition to the literature.' Peter W. Glynn, Prologue to the Second Edition

Meyn & Tweedie is back! The bible on Markov chains in general state spaces has been brought up to
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A Probability and Statistics Companion
A Probability and Statistics Companion
The study of probability and statistics is crucial in manufacturing as well as in the analysis of sample surveys and in experimentation. Utilizing unique real-world examples and numerous graphics, A Probability and Statistics Companion provides a solid foundation to the field by delving into practical and relevant topics. The text...
Computational Probability: Algorithms and Applications in the Mathematical Sciences (International Series in Operations Research & Management Science)
Computational Probability: Algorithms and Applications in the Mathematical Sciences (International Series in Operations Research & Management Science)

This title organizes computational probability methods into a systematic treatment. The book examines two categories of problems. "Algorithms for Continuous Random Variables" covers data structures and algorithms, transformations of random variables, and products of independent random variables. "Algorithms for...

An Elementary Introduction to Mathematical Finance
An Elementary Introduction to Mathematical Finance

This textbook on the basics of option pricing is accessible to readers with limited mathematical training. It is for both professional traders and undergraduates studying the basics of finance. Assuming no prior knowledge of probability, Sheldon M. Ross offers clear, simple explanations of arbitrage, the Black-Scholes option pricing formula,...

Testing and Tuning Market Trading Systems: Algorithms in C++
Testing and Tuning Market Trading Systems: Algorithms in C++

Build, test, and tune financial, insurance or other market trading systems using C++ algorithms and statistics. You’ve had an idea and have done some preliminary experiments, and it looks promising. Where do you go from here?  Well, this book discusses and dissects this case study approach.  

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Digital Dice: Computational Solutions to Practical Probability Problems
Digital Dice: Computational Solutions to Practical Probability Problems

"Paul Nahin's Digital Dice is a marvelous book, one that is even better than his Duelling Idiots. Nahin presents twenty-one great probability problems, from George Gamow's famous elevator paradox (as corrected by Donald Knuth) to a bewildering puzzle involving two rolls of toilet paper, and he solves them all with the aid...

Level Sets and Extrema of Random Processes and Fields
Level Sets and Extrema of Random Processes and Fields
Level Sets and Extrema of Random Processes and Fields discusses how to understand the properties of the level sets of paths as well as how to compute the probability distribution of its extremal values, which are two general classes of problems that arise in the study of random processes and fields and in related applications. This book...
SAS Functions by Example, Second Edition
SAS Functions by Example, Second Edition

Fully updated for SAS 9.2, Ron Cody's SAS Functions by Example, Second Edition, is a must-have reference for anyone who programs in Base SAS. With the addition of functions new to SAS 9.2, this comprehensive reference manual now includes more than 200 functions, including new character, date and time, distance, probability, sort, and...

Fundamentals of the Fuzzy Logic-Based Generalized Theory of Decisions (Studies in Fuzziness and Soft Computing)
Fundamentals of the Fuzzy Logic-Based Generalized Theory of Decisions (Studies in Fuzziness and Soft Computing)

Every day decision making and decision making in complex human-centric systems are characterized by imperfect decision-relevant information. Main drawback of the existing decision theories is namely incapability to deal with imperfect information and modeling vague preferences. Actually, a paradigm of non-numerical probabilities in decision...

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