Principles of statistical analysis : learning from randomized experiments

著者

    • Arias-Castro, Ery

書誌事項

Principles of statistical analysis : learning from randomized experiments

Ery Arias-Castro

(Institute of Mathematical Statistics textbooks)

Cambridge University Press, 2022

  • hbk.

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注記

Includes bibliographical references (p.371-383) and index

内容説明・目次

内容説明

This compact course is written for the mathematically literate reader who wants to learn to analyze data in a principled fashion. The language of mathematics enables clear exposition that can go quite deep, quite quickly, and naturally supports an axiomatic and inductive approach to data analysis. Starting with a good grounding in probability, the reader moves to statistical inference via topics of great practical importance - simulation and sampling, as well as experimental design and data collection - that are typically displaced from introductory accounts. The core of the book then covers both standard methods and such advanced topics as multiple testing, meta-analysis, and causal inference.

目次

  • Preface
  • Acknowledgments
  • Part I. Elements of Probability Theory: 1. Axioms of probability theory
  • 2. Discrete probability spaces
  • 3. Distributions on the real line
  • 4. Discrete distributions
  • 5. Continuous distributions
  • 6. Multivariate distributions
  • 7. Expectation and concentration
  • 8. Convergence of random variables
  • 9. Stochastic processes
  • Part II. Practical Considerations: 10. Sampling and simulation
  • 11. Data collection
  • Part III. Elements of Statistical Inference: 12. Models, estimators, and tests
  • 13. Properties of estimators and tests
  • 14. One proportion
  • 15. Multiple proportions
  • 16. One numerical sample
  • 17. Multiple numerical samples
  • 18. Multiple paired numerical samples
  • 19. Correlation analysis
  • 20. Multiple testing
  • 21. Regression analysis
  • 22. Foundational issues
  • References
  • Index.

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詳細情報

  • NII書誌ID(NCID)
    BC13047887
  • ISBN
    • 9781108489676
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge
  • ページ数/冊数
    xvii, 389 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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