MATH 4520/5520



Instructor: Dr. Janos Englander

TIME: 12:45-02:20 MTWRF

Course content:
Examines point and confidence interval estimation. Principles of maximum likelihood, 
sufficiency, and completeness: tests of simple and composite hypotheses, linear models, 
and multiple regression analysis. Analyzes various distribution-free methods. 

Prereq: MATH 4510 or APPM 3570, and Calculus 1-2-3. Same as APPM 4520.

TEXTBOOK: (24 hrs reserve in MATH Library)

"John E. Freund's Mathematical Statistics with Applications" by Miller & Miller.

It should be the 8th edition!

Where is the syllabus? 
A: This web page IS the syllabus.

Is the final cumulative? 
A: Yes.

Where are the HW from?
A: From the textbook.

Where is the funny accent from? 
A: Hungary.

I cannot come to the MT because of health issues or family emergency. What to do? 
A: Please show me some documentation. I can offer you to skip the MT and calculate 
your  grade based on the other factors, proportionally.

Can I turn in the HW late?
A: No. Sorry. But remember that the weight of a single assignment is very small. 

This class is for UG (4520) and Grad (5520) students together. What does this mean in 
A: HW and exams are slightly extended for grad students. See below.

I have an older edition of the textbook. Is it OK?
A: Unfortunately, that can be a problem, because the HW might be different.

Do we have to remember all those horrible formulas at the exam?
A: A cheat sheet will be provided. Tables too.

Who are the people on the pictures?
A: Neyman and Fisher.

Why do we have n-1 in the sample variance and not n?
A: Look up the great article (“Terence’s stuff”) by T. Speed in this number: CLICK

Will the final be very different from the practice final?
A: No.

Enrollment questions: Please see the Registrar's web page, or call their office. 
If you still have problems, then see Tiffany at the Math. Dept. Office, please.

How to reach me/office hrs:

Office: MATH 324.
Office hrs in Summer 2015: T,R 3-4 pm
Phone: 303-492-4846 (with voice mail)


Material to be covered: We begin with a brief overview of Chapters 1-7 and 
continue with  Chapters 8, 10-14, and some of Chapters 15 and 16, if time permits. 
MATH 4510 is a prereq, and so is Calc 1-2-3, in particular it is presumed that students 
are familiar with double and multiple integrals.

Homework: Homework assignments will be given periodically.

5520 students: Students enrolled into MATH/APPM 5520, will have to do extra 
homework problems as well as extra problems on the tests.

Exams: There will be an in class midterm and a Final.

Grading will be based on attendance, homework and exams, as follows:

Attendance: 10%
Homework: 25%
Midterm:      25%
Final:         40%

My grader for this semester is Amy Decastro. 
Her email is

Exam Schedule: 

Midterm: TBA
Final : August 7

All dates and deadlines: CLICK

Here is a practice MT with solution: CLICK

The practice final is the final from 2011: CLICK 
Its solution is here: CLICK
We will go through this one (above) in class.


Here is another one, just for practicing:



SOLUTION to Spring 2015 MT: CLICK


SOLUTION to our Final: CLICK


* How the gamma distributions look like: CLICK

* How the beta distributions look like: CLICK

* Standard Normal Table: CLICK
* Here you have some interesting Statistical Applets and Buffon's Needle Simulation 
-- take a look.

Homework:  To turn in: in class.

Important: If you are a graduate student, then please put a huge "G" at the right top 
corner of  your HW. Thank you. 
And of course, please try to write in a legible way. Typing would be even better :)

Homework Sets

Post               Due                 Problems

July 10               July 17          Regular problems: 2.18, 2.20, 2.22, 2.26, 2.34 3.18, 3.20, 
                                                          3.22, 3.24, 3.44, 3.54, 3.68, 3.74
                                                          Graduate problems: 2.30, 3.46

July 17               July 24            3.76, 3.80, 3.82, 4.10(a), 4.24, 4.28, 4.30, 4.34,
                                                            4.54, 4.60, 5.24, 6.6
                                                            Graduate problem: 4.40

July 24               July 31               6.30, 6.46, 7.4, 7.16, 8.16, 8.18, 8.22, 8.40, 8.50, 10.2, 
                                                              10.6 , 10.26

July 31               Aug 7                10.10, 10.14, 10.22, 10.34, 11.1, 11.2, 11.3, 11.6, 
                                                            12.6, 12.7, 12.8, 12.10




If you qualify for accommodations because of a disability, please submit to me a letter from 
Disability Services in a timely manner (for exam accommodations provide your letter at least 
one week prior to the exam) so that
your needs can be addressed. Disability Services determines accommodations based on 
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If you have a temporary medical condition or injury, see Temporary Medical Conditions: 
Injuries, Surgeries, and Illnesses guidelines under Quick Links at
Disability Services website and discuss your needs with me.

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that faculty must make reasonable accommodation for them and in so doing, be careful not to 
inhibit or penalize those students who are exercising their rights to religious observance. I am 
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