Mathematical Sciences 403/603
Introduction to Statistical Theory
Instructor: Calvin L. Williams, Ph.D.
Text: Probability and Statistical Inference
Authors: Hogg and Tanis 6th Edition
This course is designed to introduce the student to mathematical
statistics and statistical inference. It is designed to put to use
some of the concepts in probability (MthSc 400) to make statistical inference that
can arise in real world applications. Although there will be
some review of some of these concepts, it is assumed and expected that
there is sufficient knowledge of probability. With respect to
statistical inference, we will discuss those foundational issues
imperative to the practical application of statistics.
Being that the first four chapters of the text addresses
non-inferential data analysis, probability, and probability
distributions, we will briefly review a couple of
topics from these chapters discussed in lecture notes and begin in
earnest with chapter 5, and cover chapters 5, 6, 7, 8, 10.1,11
omitting 11.5 and 12.1,12.3-12.4.
Topics covered will include: sampling distributions, point and interval
estimation, maximum likelihood estimators, method of moments, least squares
estimators, tests of hypotheses, likelihood ratio methods, regression and
correlation analysis, and introduction to analysis of variance.
There will be several statistical and mathematical packages used to
simulate distributions and probabilitic processes that lead to
statistical applications. Students should be familiar with one or
more of the following: Matlab, SAS, and/or Statistix.
First Day's Handouts Syllabus & Review Notes
Moment Generating Functions
Class Notes....Updated and Corrected Frequently
Assignments, Due Dates and Solutions to Previous Assignments (in Adobe Acrobat pdfs)
MthSc403 Students Assignments:
MthSc 603 Students Assignment:
Helpful Statistics Sites
Get Your Acrobat Reader Here!
Calvin L. Williams,
Mathematical Sciences-Clemson University,
August 23, 2001
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