MCS 342 Problem Assignments
9. Properties of Estimators and Methods of Estimation
Sections
to read
| Topics
| Problems to look at
| "File" problems
| Assigned
problems
| Due Date
|
9.1
9.2
| Intro
Relative efficiency
| 9.3
|
| 9.1, 9.8
| M 2/28
|
| 9.2
| Extra credit
| If f(y) = [c-1/2 < y < c+1/2]
and n=3, show that
c^ = midrange := (Y(1)+Y(n)))/2
is more efficient than the sample mean.
|
|
| W 3/2
|
| 9.3
| WLLN and consistency
| 9.14, 9.18
|
| 9.9, 9.11
| W 3/2
|
| 9.4
| Sufficiency
| 9.29, 9.32, 9.37
|
| 9.30 a, b
| F 3/4
|
| 9.5
| Rao-Blackwell Theorem & MVUE
| 9.50, 9.58
|
| 9.48, 9.52
|
| 9.6
| Method of Moments
| 9.61, 9.64
|
|
|
|
| 9.7
| Maximum Likelihood Estimators (MLEs)
| 9.72, 9.73, 9.75, 9.77, 9.86
|
|
|
|
| 9.8
| Optional
|
|
|
|
|
"Problems to look at" are not to be turned in if they're not extra
credit
problems.
Keep "file" problems in a file for occasional inspection.
Turn in "assigned problems" on the given due date at the start of
class.
Students are encouraged to discuss course topics with one another.
On assigned work, though, you are expected to do the work on your own.
Your discussion with other students should be confined to matters
related to understanding the problems and general approaches to doing
problems, and you should acknowledge those who help you in this way.
You should not collaborate on problem solutions unless directed otherwise.
- Acknowledge your sources (people and texts).
- In nontrivial problems, show how you get your answers.
- Turn in neat, well-written solutions, not messy first drafts.
Trim "fringes." Staple multiple-page submissions.
- Do not copy collaborative solutions; write up solutions in your own words.
- Turn in homework on time. Each class day late reduces the possible points
by 33%.
- Do extra credit problems entirely on your own.
Turn in solutions separately from regular homework.
Honor pledge:
"On my honor, I pledge that I have not given, received, or tolerated
others' use of unauthorized aid in completing this work."