| 期刊全稱 | Approximate Distributions of Order Statistics | | 期刊簡稱 | With Applications to | | 影響因子2023 | R.-D. Reiss | | 視頻video | http://file.papertrans.cn/161/160367/160367.mp4 | | 學科分類 | Springer Series in Statistics | | 圖書封面 |  | | 影響因子 | 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. | | Pindex | Book 1989 |
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