Theoretical Statistics

Topics for a Core Course

Authors:

ISBN: 978-0-387-93838-7 (Print) 978-0-387-93839-4 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xvii

  2. No Access

    Book Chapter

    Pages 1-24

    Probability and Measure

  3. No Access

    Book Chapter

    Pages 25-38

    Exponential Families

  4. No Access

    Book Chapter

    Pages 39-59

    Risk, Sufficiency, Completeness, and Ancillarity

  5. No Access

    Book Chapter

    Pages 61-83

    Unbiased Estimation

  6. No Access

    Book Chapter

    Pages 85-99

    Curved Exponential Families

  7. No Access

    Book Chapter

    Pages 101-113

    Conditional Distributions

  8. No Access

    Book Chapter

    Pages 115-127

    Bayesian Estimation

  9. No Access

    Book Chapter

    Pages 129-149

    Large-Sample Theory

  10. No Access

    Book Chapter

    Pages 151-194

    Estimating Equations and Maximum Likelihood

  11. No Access

    Book Chapter

    Pages 195-203

    Equivariant Estimation

  12. No Access

    Book Chapter

    Pages 205-218

    Empirical Bayes and Shrinkage Estimators

  13. No Access

    Book Chapter

    Pages 219-253

    Hypothesis Testing

  14. No Access

    Book Chapter

    Pages 255-267

    Optimal Tests in Higher Dimensions

  15. No Access

    Book Chapter

    Pages 269-299

    General Linear Model

  16. No Access

    Book Chapter

    Pages 301-318

    Bayesian Inference: Modeling and Computation

  17. No Access

    Book Chapter

    Pages 319-342

    Asymptotic Optimality1

  18. No Access

    Book Chapter

    Pages 343-366

    Large-Sample Theory for Likelihood Ratio Tests

  19. No Access

    Book Chapter

    Pages 367-390

    Nonparametric Regression

  20. No Access

    Book Chapter

    Pages 391-403

    Bootstrap Methods

  21. No Access

    Book Chapter

    Pages 405-430

    Sequential Methods

  22. Back Matter

    Pages 431-538