Math 283, Fall 2013, Prof. Tesler
Homework #4, Due Wednesday October 30, 2013
Ewens & Grant 2nd edition: Problem 8.6
and the problems below, H-15 through H-19.
Notes:
Problem 8.6: Bias and mean square error are dened on page 117. Also, use Xi = X1 and Xj
Math 283, Fall 2013, Prof. Tesler
Homework #3, Due Wednesday October 23, 2013
Ewens & Grant 2nd edition: Problems 1.21, 1.23, 2.4
and the problems below, H-10 through H-14
In 1.21, skip the Conrm your calculation. . . sentence.
Also, you can use Var(X )
Math 283, Fall 2013, Prof. Tesler
Homework #2, Due Wednesday October 16, 2013
Ewens & Grant 2nd edition: Problems 4.2, 5.2, 5.3
and the problems below, H-5 through H-9.
There are two characterizations of the Poisson parameter: the rate or the mean .
The
Math 283, Fall 2013, Prof. Tesler
Homework #1, Due Wednesday October 9, 2013
Ewens & Grant 2nd edition:
Problems 1.1, 1.3 (geometric distribution only, skip Poisson), 1.8, 1.31, 1.32, 1.34
and the problems below.
Problem H-1. A value is determined from ip
Math 283, Fall 2013, Prof. Tesler
Homework #5, Due Wednesday November 6, 2013
Ewens & Grant 2nd edition: Problem 2.20
and the problems below, H-20 and H-21.
Problem H-20. Suppose that in a nucleotide sequence , the nucleotides are generated at random as
t
Math 283, Fall 2013, Prof. Tesler
Homework #6, Due Wednesday November 13, 2013
No problems from the book this week. Just the problems below, H-22 through H-24.
Problem H-22. Assume that X has a normal distribution with standard deviation = 12, but we dont
Math 283 Linear Algebra Review
Jocelyne Bruand May 25, 2008
1
Matrix Multiplication
n
Let A be an m-by-n matrix and B be an n-by-p matrix. Then the product of A and B is given by (AB)ij =
k=1
aik bkj
Example 1 g a b c h = d e f i
ag + bh + ci dg + eh + f
Math 283, Spring 2005, Prof. Tesler May 23, 2005 Kolmogorov-Smirnov Tests 1. Two-sample Kolmogorov-Smirnov Test: Do two populations have the same distribution? This is a nonparametric test. Let X, Y be continuous random variables. We want to test the hypo
Math 283, Fall 2013, Prof. Tesler
Homework #9, Due Wednesday December 4, 2013
Ewens & Grant 2nd edition: Problems 4.4, 4.5, 11.1, 11.2, 11.3, 11.4
and the problems below, H-29 and H-30.
Note: Do 4.4 and 11.1 manually; check your work with Matlab or R if y
Math 283, Winter 2009, Prof. Tesler March 2, 2009 Example of powers of a diagonalizeable matrix Sample matrix: (not a transition matrix, just easy numbers) P = Diagonalize: P = V DV -1 where V = 1 2 3 4 D= 5 0 0 6 V -1 = -2 1 3/2 -1/2 8 -1 6 3
Eigenvalues