Stat120C
Homework 1
Instructor: Zhaoxia Yu
(11.3 of Rice, page 460) In section 11.2.1, we considered two methods of estimating V ar(X Y ).
Under the assumption that the two population variances were equal, we estimated this quantity by
s2 (
p
1
1
+ )
n m
Lecture Notes for Introductory Probability
Janko Gravner
Mathematics Department
University of California
Davis, CA 95616
gravner@math.ucdavis.edu
January 5, 2014
These notes were started in January 2009 with help from Christopher Ng, a student in
Math 135
STATS 120B, W. Shen, Winter 2016
Topics for today
A few examples on calculating mgf
Revisit: covariance/correlation
Large-sample theory (Ch 6)
1
STATS 120B, W. Shen, Winter 2016
Kernel
I mean the function after removing constant from a pdf/pmf.
Examp
STATS 120B, W. Shen, Winter 2016
Wendy will be your TA, and Brandon will be your reader.
Wendys new office hour: Mon 3 - 4:30 and Wed 2 - 3:30
(Room 2013).
No lab next Monday (Jan, 18)
Homework ID number.
1
STATS 120B, W. Shen, Winter 2016
From last w
STATS 120B, W. Shen, Winter 2016
Complete version of lecture notes will be posted online after
every lecture.
My office hour: Thurs/Fri 11:00 - 12:00 in DBH 2241 (or by
appointment).
Brandons office hour: Tues 12:00 - 13:30 and Wed 13:30 15:00 in DBH 2
STATS 120B, W. Shen, Winter 2016
Overview
Stat 120A : Probability
Example: A pocket, 10 balls, 9 black, 1 red
(i) Take a ball, whats the probability of getting a red?
One red ball, ten balls in total, so the prob is 1/10
(ii) Take a ball, find that it
Stat120C
Homework 5 (due on Monday May 18, 2014)
Instructor: Zhaoxia Yu
Problem 1 Consider the linear regression model with independent and normally distributed random errors:
yi = 0 + 1 xi +
i
where i iid N (0, 2 ), i = 1, 2, , n. Let 0 and 1 denote the
Statistics 120A Homework 1, Due Mon Oct 3
Fall 2016
NOTE 1: Show your work and justify your answers. If you are having trouble, talk to the
instructor, the TA, or try a similar example in the textbook.
NOTE 2: You are allowed to discuss problems with your