Statistics 700 Mathematical Statistics I

MW 5-6:15,  Rm  Mth 0106
Fall 2001

This course introduces mathematical statistics at a theoretical
graduate level, using tools of advanced calculus and basic analysis.
The objectives are to treat diverse statistically interesting models for
data in a conceptually unified way; to define mathematical properties which
good procedures of statistical inference should have; and to prove that
some common procedures have them.

Prerequisite: Stat 410 or equivalent. You should be comfortable
(after review) with joint densities, (multivariate, Jacobian) changes of
variable, moment generating functions, and conditional expectation.

Text: George Casella and Roger Berger Statistical Inference,
2nd ed., Duxbury, 2002.

Click here to find a copy of the course outline and the first problem assignment.

Click here to find a cumulatively updated copy of all homework problem
assignments. Click here for solutions to Problem Sets 1 and 2,  here
for solutions to Problem Sets 3 and 4, and here for solutions to Problem Sets
5 and 6.  Finally, the solution for Problem Set 7 is here.

My office hours are Monday 11-12 and Thursday 2-3:15.  I will often be
available except on Tuesdays, but please send an e-mail or arrange with me
in class for an office appointment.
 

A set of sample test problems for the in-class test is available here.
The second test, at the end of the term, will likely be Take-Home rather than
in-class unless students object, but the Final will be in-class at the designated
time.

A SET OF SAMPLE PROBLEMS FOR THE IN-CLASS FINAL CAN BE VIEWED
AND DOWNLOADED HERE.
 

An optional homework set, which will be used to improve students' grades
on the first test (according to a sliding scale depending on the test score),
can be found by clicking here. The solutions to this optional homework can be
found  here.

A discussion of conjugate priors for a class of exponential family densities and
probability mass functions can be found on the handout linked here.
Note that a correction has been inserted: the density  q  allowed in the
previous version must necessarily be identically 1 .

TAKE-HOME TEST (DUE AT LAST CLASS, MON DEC 10) can be found here.

NOTE --- AS OF 7PM 12/3/01 --- that the 3rd Problem has had a correction
inserted: the method of moments estimator (and its variance) are requested
not for the parameter   alpha   but for the RECIPROCAL of   alpha  .


Important Dates

Return to my home page.

© Eric V Slud, December 12, 2001.