Biological Statistics and Computational Genomics

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Mathematical Statistics 2019 Fall

Course Description



Homework 1 (Due:  Sep 23 2019): 1.2, 1.4, 1.8, 1.10, 1.17, 1.20, 1.24, 1.28, 1.31,1.40, 1.43, 1.46, 1.52, 1.71, 1.79, 1.82


Homework 2 (Due: Oct 7 2019):  1.99, 1.114, 1.127, 1.129,  1.150, 1.155, 1.161, 1.162

Prove Theroem 1.10.

Homework 3 (Due: Oct 28 2019): 2.3, 2.4, 2.14, 2.16, 2.17, 2.20, 2.24, 2.29, 2.31, 2.34, 2.48, 2.49, 2.59, 2.61, 2.65, 2.67, 2.104, 2.110, 2.111


Homework 4 (Due: Nov 11 2019): 3.1, 3.4, 3.22,  3.39, 3.54, 3.107

Homework 5 (Due: Nov 25 2019):  4.1(a,b,d), 4.4, 4.7, 4.14, 4.32, 4.34,4.140,4.141,4.127

Aditional problem 1. For  Gaussian Mixture model, devrive an EM algorithm to estimate its parameters.

Homework 6 (Due: Dec 9 2019)  4.48, 4.56, 4.58, 4.69, 4.100, 4.105, 4.140, 6.2, 6.4


Homework 7 (Due: Dec 26 2019)  6.14(a, c), 6.28, 6.38,6.41, 6.44, 6.47, 6.85, 6.92, 6.96