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Introduction to Probability and Mathematical Statistics

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Introduction to Probability and Mathematical Statistics

Mathematics
Author
Elliot Gangaram
Publisher
Queens College
Source
LibreTexts
License
CC BY
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 60 sections
  1. 01: Week 1
  2. 1.01: Basic Set Theory
  3. 1.02: The Three Axioms of Probability
  4. 1.03: Basic Propositions in Probability
  5. 02: Week 2
  6. 2.01: Applications
  7. 2.02: Introduction to Counting
  8. 2.03: Permutations
  9. 2.3.01: The Multinomial Part 1
  10. 03: Week 3
  11. 3.01: Combinations
  12. 3.02: The Multinomial
  13. 3.2.01: The Multinomial Part 2
  14. 04: Week 4
  15. 4.01: Simple Sample Spaces
  16. 4.02: Overcounting
  17. 05: Week 5
  18. 5.01: Review 1
  19. 5.02: Exam 1
  20. 06: Week 6
  21. 6.01: Conditional Probabilities
  22. 6.02: Independence
  23. 07: Week 7
  24. 7.01: Bayes' Theorem
  25. 08: Week 8
  26. 8.01: Discrete Random Variables
  27. 8.02: The Cumulative Distribution Function
  28. 8.03: Expected Values
  29. 09: Week 9
  30. 9.01: Variances
  31. 9.02: The Uniform Random Variable
  32. 9.03: The Bernoulli and Binomial Random Variables
  33. 9.04: The Geometric and Negative Binomial Random Variables
  34. 9.05: The Poisson Random Variable
  35. 10: Week 10
  36. 10.01: Review 2
  37. 10.02: Exam 2
  38. 11: Week 11
  39. 11.01: Continuous Random Variables
  40. 11.02: The Uniform Continuous Distribution
  41. 11.03: The Exponential Distribution
  42. 11.04: The Normal Distribution
  43. 12: Week 12
  44. 12.01: The Central Limit Theorem
  45. 13: Week 13
  46. 13.01: Inferential Statistics
  47. 13.02: Confidence Intervals
  48. 14: Week 14
  49. 14.01: Procedures of Hypotheses Testing and the Scientific Method
  50. 14.02: Formulate General Research Questions
  51. 14.03: Design Research Hypotheses and Experiment
  52. 14.04: Collect and Analyze Experimental Data
  53. 14.05: Report Conclusions in Nonstatistical Language
  54. 14.06: Test of Mean vs. Hypothesized Value A Complete Example
  55. 14.07: Type II Error and Statistical Power
  56. 14.08: New Models for One Population Inference Similar Procedures
  57. 14.09: The pvalue- Misconceptions and Proper Usage
  58. 15: Week 15
  59. 15.01: Review 3
  60. 15.02: Final Exam