Concentration and Gaussian approxima...
Bobkov, Sergey G.

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  • Concentration and Gaussian approximation for randomized sums
  • 紀錄類型: 書目-電子資源 : Monograph/item
    正題名/作者: Concentration and Gaussian approximation for randomized sums/ by Sergey Bobkov, Gennadiy Chistyakov, Friedrich Gotze.
    作者: Bobkov, Sergey G.
    其他作者: Chistyakov, Gennadiy.
    出版者: Cham :Springer Nature Switzerland : : 2023.,
    面頁冊數: 1 online resource (xvii, 434 p.) :ill., digital ;24 cm.
    內容註: Part I. Generalities -- 1. Moments and correlation conditions -- 2. Some classes of probability distributions -- 3. Characteristic functions -- 4. Sums of independent random variables -- Part II. Selected topics on concentration -- 5. Standard analytic conditions -- 6. Poincaré-type inequalities -- 7. Logarithmic Sobolev inequalities -- 8. Supremum and infimum convolutions -- Part IV. Analysis on the sphere -- 9. Sobolev-type inequalities -- 10. Second order spherical concentration -- 11. Linear functionals on the sphere -- Part V. First applications to randomized sums -- 12. Typical distributions -- 13. Characteristic functions of weighted sums -- 14. Fluctuations of distributions -- Part VI. Refined bounds and rates -- 15. L^2 expansions and estimates -- 16. Refinements for the Kolmogorov distance -- 17. Applications of the second order correlation condition -- Part VII. Distributions and coefficients of special types -- 18. Special systems and examples -- 19. Distributions with symmetries -- 20. Product measures -- 21. Coefficients of Special type -- Glossary.
    Contained By: Springer Nature eBook
    標題: Gaussian distribution. -
    電子資源: https://doi.org/10.1007/978-3-031-31149-9
    ISBN: 9783031311499
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