Mathematical Statistics for Data Science

سرفصل های دوره

An introduction to mathematical statistics for data science, covering method of moments, maximum likelihood, and more

1 - Introduction

1 - Course Introduction

2 - Probability Distributions

2 - Probability-Distribution-Notes.pdf

2 - Random variables PMFs and PDFs

3 - The Bernoulli Distribution

3 - bernoulli distribution wikipedia.zip

4 - The Uniform Distribution

4 - uniform distribution wikipedia.zip

5 - The Normal Distribution

5 - normal distribution wikipedia.zip

6 - Probability Distribution Recap

3 - Expected Values

7 - Expected-Value-Notes.pdf

7 - Sample mean and Expected Value

7 - expected value.zip

8 - Bernoulli Distribution Expected Value

9 - Uniform Distribution Expected Value

10 - Normal Distribution Expected Value

10 - proof of the mean of normal distribution using calculus.zip

11 - Expected Value Recap

12 - Expected Value Practice Problems and Solutions.html

12 - Expected-Value-Practice.pdf

4 - Estimators and the Method of Moments

13 - Estimators and the Method of Moments

13 - MOM-Notes.pdf

14 - Bernoulli Distribution MOM

15 - Uniform Distribution MOM

16 - Normal Distribution MOM

17 - Method of Moments Recap

18 - Method of Moments Practice and Solutions.html

18 - Method-of-Moments-Practice.pdf

5 - Unbiased Estimators

19 - Bias-Notes.pdf

19 - Sampling Distribution Evaluating Estimators Bias

20 - Properties of Expected Values

20 - expected value properties linearity.zip

21 - Bernoulli MOM Bias

22 - Uniform MOM Bias

23 - Normal MOM Bias

24 - Bias Recap

25 - Bias-Practice.pdf

25 - Unbiased Estimators Practice and Solutions.html

6 - Variance

26 - Variance

26 - Variance-Notes-2.pdf

27 - Bernoulli Distribution Variance

28 - Uniform Distribution Variance

29 - Normal Distribution Variance

30 - Variance of Estimators and Properties of Variance

31 - Bernoulli MOM Variance

32 - Uniform MOM Variance

33 - Normal MOM Variance

34 - Variance Recap

35 - Variance Practice and Solutions.html

35 - Variance-Practice.pdf

7 - Maximum Likelihood Estimation

36 - Likelihood Function and Maximum Likelihood Estimation Motivation

36 - MLE-Notes.pdf

36 - likelihood function.zip

37 - Joint pdf joint likelihood

38 - Loglikelihood and finding the MLE

39 - Properties of logarithms

40 - Bernoulli MLE

41 - Uniform MLE

42 - Mean Squared Error

43 - Normal MLE

44 - MLE Recap

45 - MLE Practice and Solutions.html

45 - MLE-Practice.pdf

8 - Fisher Information and the CramerRao Lower Bound

46 - CRLB-Notes.pdf

46 - The CramerRao Lower Bound CRLB and Fisher Information

46 - cramerrao lower bound.zip

47 - Bernoulli CRLB

48 - Uniform CRLB

49 - Normal CRLB

50 - Efficiency

50 - efficiency.zip

51 - CRLB Recap

52 - CRLB Practice and Solutions.html

52 - CRLB-practice.pdf

9 - Central Limit Theorem

53 - CLT-Notes.pdf

53 - Distribution of Estimators and Convergence in Distribution

54 - Bernoulli MOMMLE Distribution

55 - Uniform MOM Distribution

56 - Normal MOMMLE Distribution

57 - Consistency

58 - CLT Recap

10 - Confidence Intervals

59 - CI-Notes.pdf

59 - Confidence Intervals

59 - confidence intervals.zip

60 - Bernoulli Confidence Interval

61 - Uniform Confidence Interval based on MOM

62 - Normal Confidence Interval

63 - Confidence Interval Recap Link to Hypothesis Testing

64 - CI-practice.pdf

64 - Confidence Interval Practice and Solutions.html

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تولید کننده: Udemy-Training