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Multivariate Bonferroni-type inequalities : theory and applications / John Tuhao Chen.

By: Material type: TextTextPublication details: Boca Raton : CRC Press, 2015.Description: xvii, 284 p. : illustrations ; 25 cmISBN:
  • 9781466518438 (hardcover : acidfree paper)
Subject(s): DDC classification:
  • 23 000SA.07 C518
Contents:
1. Introduction -- 2. Fundamentals -- 3. Multivariate indicator functions -- 4. Multivariate linear programming framework -- 5. Bivariate upper bounds -- 6. Multivariate and hybrid upper bounds -- 7. Bivariate lower bounds -- 8. Multivariate and hybrid lower bounds -- 9. Case studies-- Bibliography-- Index.
Summary: The author uses applications to introduce multivariate inequalities before describing their explicit forms and theory. He gives many examples of the application of multivariate Bonferroni-type bounds, including testing procedures based on multivariate Bonferroni-type bounds for the assessment of the drug efficacy in clinical trials.
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"A Chapman & Hall book."

Includes bibliographical references (pages 269-281) and index.

1. Introduction --
2. Fundamentals --
3. Multivariate indicator functions --
4. Multivariate linear programming framework --
5. Bivariate upper bounds --
6. Multivariate and hybrid upper bounds --
7. Bivariate lower bounds --
8. Multivariate and hybrid lower bounds --
9. Case studies--
Bibliography--
Index.

The author uses applications to introduce multivariate inequalities before describing their explicit forms and theory. He gives many examples of the application of multivariate Bonferroni-type bounds, including testing procedures based on multivariate Bonferroni-type bounds for the assessment of the drug efficacy in clinical trials.

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