Introduction to Probability and Mathematical Statistics

by Elliot Gangaram

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Publisher
Queens College
Subjects
Mathematics
Licence
CC BY, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. Chapter 1: Week 1
  7. 1.1: Basic Set Theory
  8. 1.2: The Three Axioms of Probability
  9. 1.3: Basic Propositions in Probability
  10. Chapter 2: Week 2
  11. 2.1: Applications
  12. 2.2: Introduction to Counting
  13. 2.3: Permutations
  14. 2.3.1: The Multinomial Part 1
  15. Chapter 3: Week 3
  16. 3.1: Combinations
  17. 3.2: The Multinomial
  18. 3.2.1: The Multinomial Part 2
  19. Chapter 4: Week 4
  20. 4.1: Simple Sample Spaces
  21. 4.2: Overcounting
  22. Chapter 5: Week 5
  23. 5.1: Review 1
  24. 5.2: Exam 1
  25. Chapter 6: Week 6
  26. 6.1: Conditional Probabilities
  27. 6.2: Independence
  28. Chapter 7: Week 7
  29. 7.1: Bayes' Theorem
  30. Chapter 8: Week 8
  31. 8.1: Discrete Random Variables
  32. 8.2: The Cumulative Distribution Function
  33. 8.3: Expected Values
  34. Chapter 9: Week 9
  35. 9.1: Variances
  36. 9.2: The Uniform Random Variable
  37. 9.3: The Bernoulli and Binomial Random Variables
  38. 9.4: The Geometric and Negative Binomial Random Variables
  39. 9.5: The Poisson Random Variable
  40. Chapter 10: Week 10
  41. 10.1: Review 2
  42. 10.2: Exam 2
  43. Chapter 11: Week 11
  44. 11.1: Continuous Random Variables
  45. 11.2: The Uniform Continuous Distribution
  46. 11.3: The Exponential Distribution
  47. 11.4: The Normal Distribution
  48. Chapter 12: Week 12
  49. 12.1: The Central Limit Theorem
  50. Chapter 13: Week 13
  51. 13.1: Inferential Statistics
  52. 13.2: Confidence Intervals
  53. Chapter 14: Week 14
  54. 14.1: Procedures of Hypotheses Testing and the Scientific Method
  55. 14.2: Formulate General Research Questions
  56. 14.3: Design Research Hypotheses and Experiment
  57. 14.4: Collect and Analyze Experimental Data
  58. 14.5: Report Conclusions in Non‐statistical Language
  59. 14.6: Test of Mean vs. Hypothesized Value – A Complete Example
  60. 14.7: Type II Error and Statistical Power
  61. 14.8: New Models for One Population Inference, Similar Procedures
  62. 14.9: The p‐value- Misconceptions and Proper Usage
  63. Chapter 15: Week 15
  64. 15.1: Review 3
  65. 15.2: Final Exam
  66. Back Matter
  67. Index
  68. Glossary
  69. Detailed Licensing
  70. Detailed Licensing