《数理统计中的逼近定理》封面

数理统计中的逼近定理

Approximation theorems of mathematical statistics

R. J. Serfling · 初版 1980 年

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Hacker News 上怎么说

  • ……高质量的数学论述,比如(用 TeX 排版):Jean-Ren\'e Barra, {\it Mathematical Basis of Statistics,\/} ISBN 0-12-079240-0, Academic Press, New York.\ \ Robert J.\ Serfling, {\it Approximation Theorems of Mathematical Statistics,\/} ISBN 0-471-02403-1, John Wiley and Sons, New York.\ \ P.\ Billingsley, {\it Convergence of Probability Measures, 2\raise0.5ex\hbox{ed},\/} ISBN: 0-471-19745-9, John Wiley, New York.\ \ R.\ S.\ Lipster……

    …with high quality, as mathematics, in, say (with TeX markup): Jean-Ren\'e Barra, {\it Mathematical Basis of Statistics,\/} ISBN 0-12-079240-0, Academic Press, New York.\ \ Robert J.\ Serfling, {\it Approximation Theorems of Mathematical Statistics,\/} ISBN 0-471-02403-1, John Wiley and Sons, New York.\ \ P.\ Billingsley, {\it Convergence of Probability Measures, 2\raise0.5ex\hbox{ed},\/} ISBN: 0-471-19745-9, John Wiley, New York.\ \ R.\ S.\ Lipster…

  • ……既相关又强大,(3) 充分统计量的一些工作,当然,首先要看经典的 Halmos 和 Savage 的论文,然后再看 Robert J. Serfling 在《Approximation Theorems of Mathematical Statistics》里更有趣的较新成果,接着是最有前景的 (4) 仔细研读 Talagrand 的工作。(1) 和 (2) 虽然老了,但结合近期的成果仔细琢磨,可能会带来一些突破方向。Serfling 所构建的……

    …relevant and powerful, (3) at some of the work on sufficient statistics, of course, first via the classic Halmos and Savage paper and then at the interesting more recent work in Robert J. Serfling, Approximation Theorems of Mathematical Statistics, and then for the most promising (4) very carefully at Talagrand. (1) and (2) are old but a careful look along with more recent work may yield some directions for progress. What Serfling develops…

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