Multivariate Bonferroni-Type Inequalities

Multivariate Bonferroni-Type Inequalities

by John Chen
Released April 2016
Publisher(s): Chapman and Hall/CRC
ISBN: 9781466518452

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Book description

This book presents a systematic account of research discoveries on multivariate Bonferroni-type inequalities published in the past decade. The emergence of new bounding approaches pushes the conventional definitions of optimal inequalities and demands new insights into linear and Frechet optimality. The book explores these advances in bounding techniques with corresponding innovative applications. It presents the method of linear programming for multivariate bounds, multivariate hybrid bounds, sub-Markovian bounds, and bounds using Hamilton circuits.

Table of contents

  1. Front Cover
  2. Dedication
  3. Contents
  4. List of Figures
  5. List of Tables
  6. Preface
  7. Chapter 1 Introduction (1/6)
  8. Chapter 1 Introduction (2/6)
  9. Chapter 1 Introduction (3/6)
  10. Chapter 1 Introduction (4/6)
  11. Chapter 1 Introduction (5/6)
  12. Chapter 1 Introduction (6/6)
  13. Chapter 2 Fundamentals (1/12)
  14. Chapter 2 Fundamentals (2/12)
  15. Chapter 2 Fundamentals (3/12)
  16. Chapter 2 Fundamentals (4/12)
  17. Chapter 2 Fundamentals (5/12)
  18. Chapter 2 Fundamentals (6/12)
  19. Chapter 2 Fundamentals (7/12)
  20. Chapter 2 Fundamentals (8/12)
  21. Chapter 2 Fundamentals (9/12)
  22. Chapter 2 Fundamentals (10/12)
  23. Chapter 2 Fundamentals (11/12)
  24. Chapter 2 Fundamentals (12/12)
  25. Chapter 3 Multivariate Indicator Functions (1/6)
  26. Chapter 3 Multivariate Indicator Functions (2/6)
  27. Chapter 3 Multivariate Indicator Functions (3/6)
  28. Chapter 3 Multivariate Indicator Functions (4/6)
  29. Chapter 3 Multivariate Indicator Functions (5/6)
  30. Chapter 3 Multivariate Indicator Functions (6/6)
  31. Chapter 4 Multivariate Linear Programming Framework (1/7)
  32. Chapter 4 Multivariate Linear Programming Framework (2/7)
  33. Chapter 4 Multivariate Linear Programming Framework (3/7)
  34. Chapter 4 Multivariate Linear Programming Framework (4/7)
  35. Chapter 4 Multivariate Linear Programming Framework (5/7)
  36. Chapter 4 Multivariate Linear Programming Framework (6/7)
  37. Chapter 4 Multivariate Linear Programming Framework (7/7)
  38. Chapter 5 Bivariate Upper Bounds (1/5)
  39. Chapter 5 Bivariate Upper Bounds (2/5)
  40. Chapter 5 Bivariate Upper Bounds (3/5)
  41. Chapter 5 Bivariate Upper Bounds (4/5)
  42. Chapter 5 Bivariate Upper Bounds (5/5)
  43. Chapter 6 Multivariate and Hybrid Upper Bounds (1/6)
  44. Chapter 6 Multivariate and Hybrid Upper Bounds (2/6)
  45. Chapter 6 Multivariate and Hybrid Upper Bounds (3/6)
  46. Chapter 6 Multivariate and Hybrid Upper Bounds (4/6)
  47. Chapter 6 Multivariate and Hybrid Upper Bounds (5/6)
  48. Chapter 6 Multivariate and Hybrid Upper Bounds (6/6)
  49. Chapter 7 Bivariate Lower Bounds (1/6)
  50. Chapter 7 Bivariate Lower Bounds (2/6)
  51. Chapter 7 Bivariate Lower Bounds (3/6)
  52. Chapter 7 Bivariate Lower Bounds (4/6)
  53. Chapter 7 Bivariate Lower Bounds (5/6)
  54. Chapter 7 Bivariate Lower Bounds (6/6)
  55. Chapter 8 Multivariate and Hybrid Lower Bounds (1/6)
  56. Chapter 8 Multivariate and Hybrid Lower Bounds (2/6)
  57. Chapter 8 Multivariate and Hybrid Lower Bounds (3/6)
  58. Chapter 8 Multivariate and Hybrid Lower Bounds (4/6)
  59. Chapter 8 Multivariate and Hybrid Lower Bounds (5/6)
  60. Chapter 8 Multivariate and Hybrid Lower Bounds (6/6)
  61. Chapter 9 Case Studies (1/4)
  62. Chapter 9 Case Studies (2/4)
  63. Chapter 9 Case Studies (3/4)
  64. Chapter 9 Case Studies (4/4)
  65. Bibliography (1/3)
  66. Bibliography (2/3)
  67. Bibliography (3/3)
  68. Back Cover

Product information

  • Title: Multivariate Bonferroni-Type Inequalities
  • Author(s): John Chen
  • Release date: April 2016
  • Publisher(s): Chapman and Hall/CRC
  • ISBN: 9781466518452