Learn · Essentials of Data Science With R Software-1: Probability and Statistical Inference

Lecture 26 of 72Week 5

Lecture 26: Moments and Variance

Prof. Shalabh · IIT Kanpur

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Essentials of Data Science With R Software-1: Probability and Statistical Inference, IIT Kanpur (at NPTEL)
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All the lectures

  1. Lecture 01: Data Science- Why, What, and How? Video
  2. Lecture 02: Installation and Working with R Video
  3. Lecture 03: Installation and Working with R Studio Video
  4. Lecture 04: Calculations with R as a Calculator Video
  5. Lecture 05: Calculations with Data Vectors Video
  6. Lecture 06: Built-in Commands and Bivariate Plots Video
  7. Lecture 07: Logical Operators and Selection of Sample Video
  8. Lecture 8: Introduction to Probability Video
  9. Lecture 9: Sample Space and Events Video
  10. Lecture 10: Set Theory and Events using Venn Diagrams Video
  11. Lecture 11: Relative Frequency and Probability Video
  12. Lecture 12: Probability and Relative Frequency - An Example Video
  13. Lecture 13: Axiomatic Definition of Probability Video
  14. Lecture 14: Some Rules of Probability Video
  15. Lecture 15: Basic Principles of Counting- Ordered Set, Unordered Set, and Permutations Video
  16. Lecture 16: Basic Principles of Counting- Combination Video
  17. Lecture 17: Conditional Probability Video
  18. Lecture 18: Multiplication Theorem of Probability Video
  19. Lecture 19: Bayes' Theorem Video
  20. Lecture 20: Independent Events Video
  21. Lecture 21: Computation of Probability using R Video
  22. Lecture 22: Random Variables - Discrete and Continuous Video
  23. Lecture 23: Cumulative Distribution and Probability Density Function Video
  24. Lecture 24: Discrete Random Variables, Probability Mass Function and Cumulative Distribution Function Video
  25. Lecture 25: Expectation of Variables Video
  26. Lecture 26: Moments and Variance Video
  27. Lecture 27: Data Based Moments and Variance in R Software Video
  28. Lecture 28: Skewness and Kurtosis Video
  29. Lecture 29: Quantiles and Tschebyschev's Inequality Video
  30. Lecture 30: Degenerate and Discrete Uniform Distributions Video
  31. Lecture 31: Discrete Uniform Distribution in R Video
  32. Lecture 32: Bernoulli and Binomial Distribution Video
  33. Lecture 33: Binomial Distribution in R Video
  34. Lecture 34: Poisson Distribution Video
  35. Lecture 35: Poisson Distribution in R Video
  36. Lecture 36: Geometric Distribution Video
  37. Lecture 37: Geometric Distribution in R Video
  38. Lecture 38: Continuous Random Variables and Uniform Distribution Video
  39. Lecture 39: Normal Distribution Video
  40. Lecture 40: Normal Distribution in R Video
  41. Lecture 41: Normal Distribution - More Results Video
  42. Lecture 42: Exponential Distribution Video
  43. Lecture 43: Bivariate Probability Distribution for Discrete Random Variables Video
  44. Lecture 44: Bivariate Probability Distribution in R Software Video
  45. Lecture 45: Bivariate Probability Distribution for Continuous Random Variables Video
  46. Lecture 46: Examples in Bivariate Probability Distribution Functions Video
  47. Lecture 47: Covariance and Correlation Video
  48. Lecture 48: Covariance and Correlation - Examples and R Software Video
  49. Lecture 49: Bivariate Normal Distribution Video
  50. Lecture 50: Chi square Distribution Video
  51. Lecture 51: t - Distribution Video
  52. Lecture 52: F - Distribution Video
  53. Lecture 53: Distribution of Sample Mean, Convergence in Probability and Weak Law of Large Numbers Video
  54. Lecture 54: Central Limit Theorem Video
  55. Lecture 55: Needs for Drawing Statistical Inferences Video
  56. Lecture 56: Unbiased Estimators Video
  57. Lecture 57: Efficiency of Estimators Video
  58. Lecture 58: Cramér-Rao Lower Bound and Efficiency of Estimators Video
  59. Lecture 59: Consistency and Sufficiency of Estimators Video
  60. Lecture 60: Method of Moments Video
  61. Lecture 61: Method of Maximum Likelihood and Rao Blackwell Theorem Video
  62. Lecture 62: Basic Concepts of Confidence Interval Estimation Video
  63. Lecture 63: Confidence Interval for Mean in One Sample with Known Variance Video
  64. Lecture 64: Confidence Interval for Mean and Variance Video
  65. Lecture 65: Basics of Tests of Hypothesis and Decision Rules Video
  66. Lecture 66: Test Procedures for One Sample Test for Mean with Known Variance Video
  67. Lecture 67: One Sample Test for Mean with Unknown Variance Video
  68. Lecture 68: Two Sample Test for Mean with Known and Unknown Variances Video
  69. Lecture 69: Test of Hypothesis for Variance in One and Two Samples Video
  70. Live Session 01-04-2021 Video
  71. Live Session 03-12-2022 Video
  72. Live Session 08-03-2024 Video