Mathematical Statitistics (I) 304026001 Homepage (Spring 2024)

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  • Weekly postings:
    Posted on/by Reading Homeworks Due date Basic problems
    2/24 Sections 1.1-1.4 in the text. Handout "Events and probabilities" Do some of Problems 1-7 up to 12 pts (extra points will not be counted) 3/8 Problems 1, 4, 5
    3/2 Sections 1.5-1.6 (skip the definition of "range" of a random variable) and Section 1.7.2 in the text. Handout "Random variables" Do some of Problems 8-17 up to 12 pts (extra points will not be counted) 3/15 Problems 9, 10, 11, 13, 14, 15(a)
    3/9 Sections 1.8 - 1.9 in the text. Handouts "Quantile and expectation" and "Some special expectations" (till Example 2) Do some of Problems 18-25 up to 12 pts (extra points will not be counted) 3/22 Problems 18, 19, 20, 21, 22, 23(b), 25
    3/16 Sections 1.9 and 2.1 (till Example 2.1.1) in the text. Handouts "Some special expectations" and "Joint distribution of a vector of random variables" (till Example 4 ) Do some of Problems 26-33 up to 16 pts (extra points will not be counted) 3/29 Problems 26,27,28,29,30(a)(b), 31,33
    3/22 Handouts "Joint distribution of a vector of random variables", "Expectation of g(X,Y)" and "Distribution of a transformed random vector" Do some of Problems 34-38 up to 12 pts (extra points will not be counted) 4/8 Problems 35-38
    3/29 Section 2.3. Handout "Conditional distributions and expectations" (till Fact 2) Do some of Problems 39-41 up to 16 pts (extra points will not be counted) 4/12 Problems 39-40
    4/12,4/27 Sections 2.3-2.7. Handouts "Conditional distributions and expectations", "Independent random variables", "Independence of two random vectors", and "Covariance and correlation" (till Example 3) Do some of Problems 42-50 up to 16 pts (extra points will not be counted) 5/10 Problems 42-45, 47
    5/4 Handout "Covariance and correlation" Do some of Problems 51-59 up to 14 pts (extra points will not be counted) 5/17 Problems 51-56, 58-59
    5/11 Sections 2.4-2.7. Handouts "Covariance and correlation" and "Multivariate normal distributions" (till the definition of best linear predictor for the multivariate case) Do some of Problems 60-63 up to 9 pts (extra points will not be counted) 5/24 Problem 63(a)
    5/18 Sections 3.5.1-3.5.2 (skip Theorem 3.5.4) Handout "Multivariate normal distributions" Do some of Problems 64-65 up to 9 pts (extra points will not be counted) 5/31 Problem 64
    5/25 Handout "Estimation and types of convergence" (before Example 4) Do some of Problems 66-70 up to 12 pts (extra points will not be counted) 6/7 Problems 66-68
    6/1 Handout "Estimation and types of convergence" (till Example 8) Do some of Problems 71-75 up to 6 pts (extra points will not be counted) 6/7 Problems 71, 73, 74(a), 75
    6/8 Handout "Estimation and types of convergence" (till Example 10)