UNLV Department of Mathematical Sciences 

STAT 468/668 Introduction
to Mathematical Statistics II 

Welcome to the course homepage for STAT468/668. If
you are a student in this class you should check this site frequently for
updated or new information. [Course Syllabus] 

I. Outline of the Course 

Instructor: Hokwon A. Cho, Ph.D.,
Associate Professor, Office: CDC 1008 (Building #10,
Room 1008), Office phone: 8950393 (Math. Sci. dept. office: 8953567),
Email: cho@unlv.nevada.edu. Class Time
and Location: Tue. & Thu..,
10:00AM  11:15AM, CBC C148. Office
Hours: Tue. & Thu.: 1:30PM  3:30PM or
by appointment. Textbook: Mathematical
Statistics with Applications, 7^{th} Ed., by Wackerly,
Mendenhall and Scheaffer. Duxbury. Prerequisites: STAT 467/667 (grade C or better) or equivalent
courses. Scope
of Course: This course is the second course in a twosemester
sequence on probability and statistics in upper division/senior level. It
aims to introduce mathematical foundation infrastructures of statistical
inferences including modeling at the intermediate level. Thus, mathematical concepts,
methods and applications will be covered based on the probability
theory. In chronological order,
the topics (subject to minor changes) to be emphasized are:
7.
Limit
Theorem and Sampling Distributions  Law of large numbers,
convergence in distribution, central limit theorem, sampling distributions.
8.
Theory
of Estimation  Method of moments,
Maximum likelihood method, Confidence interval. Bayesian method, Criteria of estimation, Efficiency,
Consistency, Sufficiency, Factorization theorem, RaoBlackwell
theorem
9.
Testing
Statistical Hypotheses 
Best test, Power of the test, pvalue, Likelihood
Ratio (LR), NeymanPearson Lemma, Uniformly most
powerful (UMP) test, Likelihood Ratio test (LRT).
10.
Linear Models –
Statistical modeling, Methods of Least squares, SLR, MLR and Matrix method,
Correlation Analysis, Basic design of experiment, Oneway ANOVA, twoway
ANOVA.
11.
Nonparametric
Statistics – Parametric vs. Nonparametric methods, Sign
test, Rank methods, KruskalWallis nonparametric
method for oneway ANOVA, Runs test, general comments. Homework,
Quiz & Worksheet: All homework
assignments will be given in class and expected to turn in on time. No late
homework will be accepted. Some of the problems will be discussed in class.
Graduate (including postbachelorette) students will be assigned
additional/extra problems on each assignment and mandatory to complete, which
are optional for the undergraduates for extra credit. Exams: There will be two tests and a final examination.
Two tests are most likely on 6th and 11th week. Final exam is scheduled
according to the university
academic calendars and schedules. No makeup tests will be given except
for documented medical reasons or prior permission/arrangement from the
instructor. Grading: The course grade is based upon the following: (1)
homework assignments = 20% (2) two midsemester exams = 25%
each, and (3) a final exam = 30%.
Grade Scale: AA⁻: 85% or above, B⁺B: 75% or above, C⁺C: 65% or above, D⁺D: 55% or above, F: Below 55%. University
Academic Policies on the Academic
Misconduct, Copyright, Disability Resources Center (DRC), Tutoring, Writing
Center, and Religious Holidays: click the next è University
Academic Policies. 

II. Lecture & Homework Schedules 

A
lecture schedule detailing which topics will be covered on which weeks is
available on the course webpage. The schedule may vary from it, depending on
time constraints. Any changes will be noted on the class website. To see more
details, click next è Lecture & HW
schedule. For your practice (selected problems) and
preparation for tests ·
Homework Solutions: Chap 1 ·
Worksheets, Quizzes & etc.: 

III. Bulletin Board 

Last updated: TUE., 1:00 PM , Jan. 30, 2018 All
Exams/Quizzes are closed book and
notes. Announcements: 1.
Welcome
to STAT 468/STA 668. 

IV. Handouts & Resources 

Statistical
Tables: § [Tables for Confidence Intervals & Testing
Hypotheses] Data Sets:


o Statistical Software & Language:  R  SPlus  Minitab
 SAS/JMP  SPSS  STATA  BMDP
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JSTOR  MathSciNet  Ingenta  CIS  Thomson  Wikipedia  Ø Journals:  Statistics  Probability  Related Journals  Mathematics
 Ø Societies:  IMS  ASA  IMS Bulletin  SIAM  AMS  MAA 
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© 20062018 Hokwon Cho. 