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Preface to the Soft Cover Edition v
Preface to the Hard Cover Edition vii
Preliminaries 1
Uniform Convergence 1
Inverses of Monotone Functions 3
Convergence to Types Theorem and Limit Distributions of Maxima 7
Regularly Varying Functions of a Real Variable 12
Basics 13
Deeper Results; Karamata's Theorem 16
Extensions of Regular Variation: [Pi]-Variation, [Gamma]-Variation 26
Domains of Attraction and Norming Constants 38
Domain of Attraction of [Lambda](x) = exp{lcub}-e[superscript -x]{rcub} 38
Domain of Attraction of [Phi subscript alpha] = exp{lcub}-x[superscript -alpha]{rcub}, x > 0 54
Domain of Attraction of [Psi subscript alpha](x) = exp{lcub}-(-x)[superscript alpha]{rcub}, x < 0 59
Von Mises Conditions 62
Equivalence Classes and Computation of Normalizing Constants 67
Quality of Convergence 76
Moment Convergence 76
Density Convergence 85
Large Deviations 94
Uniform Rates of Convergence to Extreme Value Laws 107
Uniform Rates of Convergence to [Phi subscript alpha](x) 107
Uniform Rates ofConvergence to [Lambda](x) 114
Point Processes 123
Fundamentals 123
Laplace Functionals 128
Poisson Processes 130
Definition and Construction 130
Transformations of Poisson Processes 134
Vague Convergence 139
Weak Convergence of Point Processes and Random Measures 150
Records and Extremal Processes 162
Structure of Records 164
Limit Laws for Records 174
Extremal Processes 179
Weak Convergence to Extremal Processes 196
Skorohod Spaces 196
Weak Convergence of Maximal Processes to Extremal Processes via Weak Convergence of Induced Point Processes 209
Extreme Value Theory for Moving Averages 224
Independence of k-Record Processes 242
Multivariate Extremes 250
Max-Infinite Divisibility 251
An Example: The Bivariate Normal 255
Characterizing Max-id Distributions 257
Limit Distributions for Multivariate Extremes 263
Characterizing Max-Stable Distributions 266
Domains of Attraction; Multivariate Regular Variation 276
Independence and Dependence 290
Association 298
References 307
Index 315
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Cynthia Lindell
reviewed Extreme Values, Regular Variation and Point Processes on August 23, 2016
Extreme Values
I decided to read through this book to see if it was worth studying in detail. As in a few pages a day and writing out mostly everything by hand to really learn the material. What I have found was a lot of the things covered in this book are in any modern calculus book and because of the old notation used in equations and the amount of skips in the proofs, etc. I was constantly going back to my calculus book to fill in what Hardy left out. So I said to myself I might as well be reading my calculus book than Hardy's book. The techniques on integration seem dated. If you want a book with similar integral problems look at the PDF of N. Piskunov Differential and Integral Calculus. He gives examples and steps that are very easy to follow. I learned that one of the integration techniques is called Euler substitution. Google it for yourself. Sure this book my have things others do not, but you can compare 10 modern math books and they each will have something not in the other. The problems require a skill that reading the book will not give you. Many are modern day Putnam equivalent. They are part of the Mathematical Tripos and students had to spend 3 years to prepare for the test to graduate. To do well you had to hire coaches, and their only job was to prepare you for the exam. So the problems are probably not the best for self study, unless you've had training in math competitions. I have the 10th edition 1952 and I've only been reading it for a short time but the cover is becoming frail and rough in my hands. It was perfectly smooth and I only read it in my room.
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Add Extreme Values, Regular Variation and Point Processes, This book examines the fundamental mathematical and shastic process techniques needed to study the behavior of extreme values of phenomena based on independent and identically distributed random variables and vectors. It emphasizes the core primacy of thr, Extreme Values, Regular Variation and Point Processes to the inventory that you are selling on WonderClubX
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Add Extreme Values, Regular Variation and Point Processes, This book examines the fundamental mathematical and shastic process techniques needed to study the behavior of extreme values of phenomena based on independent and identically distributed random variables and vectors. It emphasizes the core primacy of thr, Extreme Values, Regular Variation and Point Processes to your collection on WonderClub |
