Normal Approximation by Stein’s Method

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ISBN: 978-3-642-15006-7 (Print) 978-3-642-15007-4 (Online)
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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XII

  2. Book Chapter

    Pages 1-12

    Introduction

  3. Book Chapter

    Pages 13-44

    Fundamentals of Stein’s Method

  4. Book Chapter

    Pages 45-62

    Berry–Esseen Bounds for Independent Random Variables

  5. Book Chapter

    Pages 63-145

    L 1 Bounds

  6. Book Chapter

    Pages 147-166

    L by Bounded Couplings

  7. Book Chapter

    Pages 167-220

    L : Applications

  8. Book Chapter

    Pages 221-232

    Discretized Normal Approximation

  9. Book Chapter

    Pages 233-244

    Non-uniform Bounds for Independent Random Variables

  10. Book Chapter

    Pages 245-255

    Uniform and Non-uniform Bounds Under Local Dependence

  11. Book Chapter

    Pages 257-291

    Uniform and Non-uniform Bounds for Non-linear Statistics

  12. Book Chapter

    Pages 293-312

    Moderate Deviations

  13. Book Chapter

    Pages 313-341

    Multivariate Normal Approximation

  14. Book Chapter

    Pages 343-369

    Non-normal Approximation

  15. Book Chapter

    Pages 371-388

    Group Characters and Malliavin Calculus

  16. Back Matter

    Pages 389-405