This is a self-contained introduction to parametric modeling, exploratory analysis and statistical interference for extreme values, as used in disciplines from hydrology to finance to environmental science. Updated and expanded by 100 pages.
This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) that are relevant for statistical theory and its applications. Particular emphasis is placed on results concern ing the accuracy oflimit theorems, on higher order approximations, and other approximations in quite a general sense. Contrary to the classical limit theorems that primarily concern the weak convergence of distribution functions, our main results will be formulated in terms of the variational and the Hellinger distance. These results will form the proper springboard for the investigation of parametric approximations of nonparametric models of joint distributions of order statistics. The approxi mating models include normal as well as extreme value models. Several applications will show the usefulness of this approach. Other recent developments in statistics like nonparametric curve estima tion and the bootstrap method will be studied as far as order statistics are concerned. 1n connection with this, graphical methods will, to some extent, be explored.
Beryllium Supplement Volume A2 describes the properties of the bulk metal, the main emphasis being on the crystallographic structure and the structure-related (mechanical) properties. The great importance of this metal, for instance in nuclear and space technologies, results from its unique combination of properties, i.e., low density, extremely high elasticity modulus, and relatively high melting point. In addition, Be played a particular role in studying the fundamental mechanisms of deformation in the lattices of metals. On this basis, numerous factors contributing to the ductility or brittleness of Be are discussed. Thermal and magnetic properties complete the description of Be in this volume.
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