Selected Topics in Characteristic Functions
eBook - PDF

Selected Topics in Characteristic Functions

  1. 364 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Selected Topics in Characteristic Functions

Book details
Table of contents
Citations

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Yes, you can access Selected Topics in Characteristic Functions by Nikolai G. Ushakov in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2011
ISBN
9783110935981
Edition
1
Topic
Mathematics
Subtopic
Probability & Statistics
Index
Mathematics

Table of contents

  1. Preface
  2. Notation
  3. 1 Basic properties
  4. 1.1 Definition and elementary properties
  5. 1.2 Continuity theorems and inversion formulas
  6. 1.3 Criteria
  7. 1.4 Inequalities
  8. 1.5 Characteristic functions and moments, expansions of characteristic functions, asymptotic behavior
  9. 1.6 Unimodality
  10. 1.7 Analyticity of characteristic functions
  11. 1.8 Multivariate characteristic functions
  12. 1.9 Notes
  13. 2 Inequalities
  14. 2.1 Auxiliary results
  15. 2.2 Inequalities for characteristic functions of distributions with bounded support
  16. 2.3 Moment inequalities
  17. 2.4 Estimates for the characteristic functions of unimodal distributions
  18. 2.5 Estimates for the characteristic functions of absolutely continuous distributions
  19. 2.6 Estimates for the characteristic functions of discrete distributions
  20. 2.7 Inequalities for multivariate characteristic functions
  21. 2.8 Inequalities involving integrals of characteristic functions
  22. 2.9 Inequalities involving differences of characteristic functions
  23. 2.10 Estimates for the first positive zero of a characteristic function
  24. 2.11 Notes
  25. 3 Empirical characteristic functions
  26. 3.1 Definition and basic properties
  27. 3.2 Asymptotic properties of empirical characteristic functions
  28. 3.3 The first positive zero
  29. 3.4 Parameter estimation
  30. 3.5 Non-parametric density estimation I
  31. 3.6 Non-parametric density estimation II
  32. 3.7 Tests for independence
  33. 3.8 Tests for symmetry
  34. 3.9 Testing for normality
  35. 3.10 Goodness-of-fit tests based on empirical characteristic functions
  36. 3.11 Notes
  37. A Examples
  38. B Some characteristic functions
  39. C Unsolved problems
  40. Bibliography
  41. Subject Index
  42. Author Index