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#### Advances in Distribution Theory, Order Statistics, and Inference

Springer 2007; US$ 319.00Barry Arnold has made fundamental contributions to many different areas of statistics, including distribution theory, Bayesian inference, multivariate analysis, bounds and orderings, and characterization problems. Organized to honor Arnold's significant contributions to the field, this volume is an outgrowth of the 'International Conference... more...

#### Hilbert Functions of Filtered Modules

Springer 2010; US$ 49.95Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are becoming increasingly important also in Computational Algebra. They capture many useful numerical characters associated to a projective variety or to a filtered module over a local ring. Starting from the pioneering work of D.G. Northcott and J. Sally, we aim... more...

#### Uniform Central Limit Theorems

Cambridge University Press 1999; US$ 46.00This treatise by an acknowledged expert includes several topics not found in any previous book. more...

#### Gaussian Hilbert Spaces

Cambridge University Press 1997; US$ 72.00This book treats the fundamental mathematical properties that hold for a family of Gaussian random variables. more...

#### The Theory of Distributions

Cambridge University Press 1990; US$ 40.00A self-contained mathematical introduction that concentrates on the essential results important to non-specialists. more...

#### A History of the Central Limit Theorem

Springer 2010; US$ 199.00This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace... more...

#### Laws of Small Numbers: Extremes and Rare Events

Springer Basel 2010; US$ 89.95Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the... more...

#### Sorting

Wiley 2011; US$ 204.00A cutting-edge look at the emerging distributional theory of sorting Research on distributions associated with sorting algorithms has grown dramatically over the last few decades, spawning many exact and limiting distributions of complexity measures for many sorting algorithms. Yet much of this information has been scattered in disparate and highly... more...

#### An Introduction to Heavy-Tailed and Subexponential Distributions

Springer 2011; US$ 99.00This monograph provides a complete and comprehensive introduction to the theory of long-tailed and subexponential distributions in one dimension. New results are presented in a simple, coherent and systematic way. All the standard properties of such convolutions are then obtained as easy consequences of these results. The book focuses on more theoretical... more...

#### Peacocks and Associated Martingales, with Explicit Constructions

Springer 2011; US$ 139.00We call peacock an integrable process which is increasing in the convex order; such a notion plays an important role in Mathematical Finance. A deep theorem due to Kellerer states that a process is a peacock if and only if it has the same one-dimensional marginals as a martingale. Such a martingale is then said to be associated to this peacock. In... more...