ISyE 6416: Computational Statistics
Homework 4
(25 points for each question. 100 points total. )
This homework is due on Tues March 10, 2015, in class BEFORE class starts. Late submission
will not be accepted. Please do not turn in any papers to my mailbo
ISYE 6416 - Homework 6 Solution
1
Bootstrapping
1. (a) The correlation coefficient between LSAT and GPA is 0.5231.
1. (b) By nonparametric bootstrapping, the estimated standard deviation of the correlation coefficient is
0.2641. The histogram of correlati
ISyE 6416: Computational Statistics
Homework 6
(100 points total.)
This homework is due on Thursday April 16, 2015, in class BEFORE class starts. Late
submission will not be accepted. Please do not turn in any papers to my mailbox.
Please remember to sta
ISyE 6416: Computational Statistics
Homework 5
(25 points for each question. 100 points total. )
This homework is due on Thursday April 9, 2015, in class BEFORE class starts. Late
submission will not be accepted. Please do not turn in any papers to my mai
ISyE 6416 HW3 Solution
All codes are attached at the end in the appendix.
1
Logistic regression
(a) The derivative of h(xi ; a, b) w.r.t a and b is
1
.
1+expcfw_aT xi b
h(xi ; a, b) = xi h(xi )(1 h(xi )
a
h(xi ; a, b) = h(xi )(1 h(xi )
b
Using that we can
ISYE 6416 - Homework #5 solution
1. (a) Let St be the state at time t step, t = 0, 1, 2, 3, and Ot be the bit observed at time t step, t = 1, 2, 3, and
s be the initial probability of s state. Then, s = 1/4, s = 00, 01, 10, 11 and the probability of trans