STAT 4102 (Spring 2017) Homework 1 (STAT4101 Review)
Assigned: Wednesday, January 18
Due: Wednesday, January 25
Directions: Write your section number with your name at the top of your assignment.
Show all work for each problem below. Do not use software!
STAT 4102 (Spring 2014) Homework 6
Assigned: Wednesday, March 12
Due: Wednesday, March 26
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the given dis
STAT 4102 (Spring 2014) Homework 8
Assigned: Wednesday, April 9
Due: Wednesday, April 16
Solutions
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the
STAT 4102 (Spring 2014) Homework 9
Assigned: Wednesday, April 16
Due: Wednesday, April 23
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the given dis
STAT 4102 (Spring 2014) Homework 10
Assigned: Wednesday, April 23
Due: Wednesday, April 30
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the given di
STAT 4102 (Spring 2014) Homework 11
Assigned: Wednesday, April 30
Due: FRIDAY, MAY 9
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the given distribu
STAT 4102 (Spring 2015) Homework 9
Assigned: Wednesday, April 1
Due: Monday, April 6
DIRECTIONS: Show all work for each problem. For any problem that asks you
to determine the distribution of a statistic, you MUST also prove that it has the
given distribu
STAT 4102 (Spring 2014) Homework 1 (STAT4101 Review)
Assigned: Wednesday, January 21
Due: Wednesday, January 28
Directions: Show all work for each problem below. Do not use software! Provide exact solutions to each
of the problems requiring a numeric answ
STAT 4102 (Spring 2015) Homework 3
Assigned: Wednesday, February 4
Due: Wednesday, February 11
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the give
STAT 4102 (Spring 2015) Homework 8
Assigned: Wednesday, Mar 25
Due: Wednesday, April 1
DIRECTIONS: Show all work for each problem. For any problem that asks you
to determine the distribution of a statistic, you MUST also prove that it has the
given distri
STAT 4102 (Spring 2015) Homework 6
Assigned: Wednesday, Mar 4
Due: Wednesday, Mar 11
DIRECTIONS: Show all work for each problem. For any problem that asks you
to determine the distribution of a statistic, you MUST also prove that it has the
given distribu
STAT 4102 (Spring 2015) Homework 2
Assigned: Wednesday, January 28
Due: Wednesday, February 4
DIRECTIONS: Show all work for each problem. For any problem that asks you
to determine the distribution of a statistic, you MUST also prove that it has the
given
STAT 4102 (Spring 2015) Homework 4
Assigned: Wednesday, February 11
Due: Wednesday, February 18
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the giv
STAT 4102 (Spring 2015) Homework 7
Assigned: Wednesday, Mar 11
Due: Wednesday, Mar 25
DIRECTIONS: Show all work for each problem. For any problem that asks you
to determine the distribution of a statistic, you MUST also prove that it has the
given distrib
STAT 4102 (Spring 2014) Homework 6
Assigned: Wednesday, March 12
Due: Wednesday, March 26
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the given dis
STAT 4102 (Spring 2014) Homework 5
Assigned: Wednesday, March 5
Due: Wednesday, March 12
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the given dist
6.7: Order Statistics
Weve been finding the distributions of Y = h(X1 , . . . , Xn ) when
we know the (joint) distribution of X1 , . . . , Xn for many different
functions h. Two important choices of h are
h(X1 , . . . , Xn ) = min(X1 , . . . , Xn ) and
h(
STAT 4102
Theory of Statistics II
Charles Doss
January 17, 2017
1
Companion slides for STAT 4101 lectures. Not a substitute for attending lecture.
Introduction
1
I
Welcome to STAT 4102, Theory of Statistics II, Im Charles
Doss.
I
Lectures: MWF at 2:30 in
STAT 4102 (Spring 2017) Homework 2
Assigned: Wednesday, January 25
Due: Wednesday, February 1
Directions: Write your section number with your name at the top of your assignment.
Show all work for each problem. For any problem that asks you to determine th
STAT 4102 (Spring 2017) Homework 6
Assigned: Wednesday, Mar 1
Due: Wednesday, Mar 8
1. Textbook Problems: 8.74, 8.75, 8.85, 9.15, 9.24, 9.31, 9.34,
Unless otherwise asked, provide 2-sided CIs.
For 9.15, you may use as a fact anything proved in Example 9
STAT 4102 (Spring 2017) Homework 3
Assigned: Wednesday, February 1
Due: Wednesday, February 8
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the given
1. Definitions
Basic concepts of a statistical problem (unknown parameters, model space)
statistic: a random variable (or constant) observable from the data,
the bias of for is E(
bias: when estimating with an estimator ,
),
the MSE of for is E( )2 )
STAT 4102 (Spring 2017) Homework 4
Assigned: Wednesday, February 8
Due: Wednesday, February 15
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the give
STAT 4102 (Spring 2017) Homework 5
Assigned: Wednesday, February 15
Due: MONDAY, February 20
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the given
STAT 4102 (Spring 2017) Course Information
Professor: Charles Doss (Email: [email protected]; Office: Ford Hall 389)
Lectures: Monday, Wednesday, Friday, at 2:30-3:20PM, Bruininks Hall 230
The last day of class is Friday, May 5. Spring break is March 13-17
STAT 4102 (Spring 2014) Homework 1
Assigned: Wednesday, January 29
Due: Wednesday, February 5
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the given
STAT 4102 (Spring 2014) Homework 2
Assigned: Wednesday, February 5
Due: Wednesday, February 12
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the give
STAT 4102 (Spring 2014) Homework 3
Assigned: Wednesday, February 12
Due: Wednesday, February 19
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the giv
STAT 4102 (Spring 2014) Homework 4
Assigned: Wednesday, February 26
Due: Wednesday, March 5
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the given d
STAT 4102 (Spring 2015) Homework 5
Assigned: Wednesday, February 18
Due: MONDAY, February 23
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine
the distribution of a statistic, you MUST also prove that it has the given