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Department of Mathematics
Math 152. Statistical Theory &=
nbsp; &=
nbsp; Fall
2009
Course Outline
Time and Place: =
MWF 9:00 am - 9:50 am Millikan 218
Instructor:<=
span
style=3D'mso-spacerun:yes'> =
Dr.
Adolfo J. Rumbos
Office: =
=
Andre=
w 259
Phone/e-mail:<=
span
style=3D'mso-tab-count:2'> &=
nbsp; ext. 18713 / arumbos@pomona.edu
Office Hours:<=
span
style=3D'mso-spacerun:yes'> MWF 10:00 am – 11:00 am; =
span>or
by appointment
Text:<=
span
style=3D'mso-spacerun:yes'> =
Introduction
to Mathematical Statistics, =
Sixth
Edition
by Robert V. Hogg, Joseph W. McKean an=
d Allen
T. Craig.
Course Website: =
http://pages.pomona.edu/~ajr047=
47/
Prerequisites: Probability (Math 151 PO or equivalent c=
ourse)
Course Description. This is a course i=
n statistical inference. Loosely speaking, statistical infe=
rence
is the process of going from information gained from a sample to inferences
=
about a population from which the sample is taken. There are two aspects of statistic=
al
inference that we'll be studying in this course: estimation and hypothesis
testing. In estimation, we try to determine parameters
from a population based on quantities, referred to as statistics, calculated from data in a sample. The degree to which the estimates
resemble the parameters being estimated can be measured by ascertaining the
probability that a certain range of values around the estimate will contain=
the
actual parameter. The use of
probability is at the core of statistical inference; it involves the
postulation of a certain probability model underlying the situation being
studied and calculations based on that model. The same procedure can in turn be =
used
to determine the degree to which the data in the sample support the underly=
ing
model; this is the essence of hypothesis testing. A solid knowledge of probability is therefore essential for
understanding statistical inference.
The course topics are listed in the
attached tentative schedule of lectures and examinations.
Assigned
Grading
Policy. Grades will be based on the
homework, three 50-minute examinations, plus a comprehensive final
examination. The overall scor=
e will
be computed as follows:
&=
nbsp; &nbs=
p; homework &=
nbsp; &nbs=
p; &=
nbsp;
&=
nbsp; 20%
&=
nbsp; &nbs=
p; three
50-minute exams &nbs=
p; &=
nbsp; 50%
&=
nbsp; &nbs=
p; final
examination &n=
bsp;  =
; &n=
bsp;  =
; 30%
Final
Examination.
Time: Thur=
sday, December
17, 2009 &nbs=
p;
9:00 am - 11:00 am.
Place: Millikan =
218
Math 152=
. Statistical Theory &=
nbsp; &nbs=
p; &=
nbsp; &nbs=
p; &=
nbsp; &nbs=
p; Fall
2009