Statistical Theory

Statistical Theory

statisticsmatt via YouTube Direct link

"Best" predictors of Y using a function of X.

2 of 29

2 of 29

"Best" predictors of Y using a function of X.

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Statistical Theory

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  1. 1 Statistical Theory: Sum of Squared Normal mean=mu var=1 variables
  2. 2 "Best" predictors of Y using a function of X.
  3. 3 Alternative Formula for the Expected Value
  4. 4 Incomplete Beta Function as the Sum of Binomial Probabilities
  5. 5 CI for Population Median using Order Statistics
  6. 6 Discrete Order Statistics with Illustration using R
  7. 7 Sum of Poisson Probabilities equal a Chi-square Probability
  8. 8 Using R to Find an Exact CI for a Poisson Parameter
  9. 9 The Median Minimizes Absolute Loss. 3 proofs when X is continuous.
  10. 10 Markov Inequality. Chebyshev Inequality. Weak Law of Large Numbers.
  11. 11 Proof of Binomial Theorem with specific cases of the General Binomial Theorem
  12. 12 Big O, Little o Notation. Examples with Cumulant and Moment Generating Functions
  13. 13 Proof of Holm Bonferroni Correction Method
  14. 14 Proof of Simes Correction Method
  15. 15 2 formulas between the determinant, trace and eigen values of a matrix
  16. 16 Properties of the Gamma Function (part 1 of 2)
  17. 17 Properties of the Gamma Function (part 2 of 2)
  18. 18 Chi square approximation to an F Distribution
  19. 19 Asymptotic C I for the Difference of 2 Independent Population Means
  20. 20 Exact C I for the difference of 2 independent normal population means
  21. 21 1st 4 moments of the sample mean when x is a Bernoulli random variable
  22. 22 A df=1 noncentral chi sq distribution as a Poisson weighted mixture of central chi sq distributions
  23. 23 Using R: Calculating Probability for a Bivariate Normal Random Variable
  24. 24 Statistical Distance
  25. 25 Extended Cauchy-Schwarz Inequality
  26. 26 Rotational Invariance
  27. 27 Generating Double Exponential Data from Scratch
  28. 28 Kruskal's Proof of the Joint Distribution of the Sample Mean and Variance
  29. 29 Derive the CDF of an Inverse Gamma Distribution

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