MATH 4520/5520



Instructor: Dr. Janos Englander

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: TBA
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 : TBA.

Here is a practice MT with solution: CLICK

The practice final is the final from 2011: CLICK 
Its solution is here: CLICK


SOLUTION to Spring 2015 MT: 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




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 
documented disabilities. Contact Disability Services at 303-492-8671
or by e-mail at

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.

(2) Campus policy regarding religious observances states
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 
aware that a given religious holiday may be observed with very different levels of attentiveness 
by different members of the same religious group and thus may require careful
consideration to the particulars of each individual case.  For guidelines, see

If you have questions about the rules with regard to religious accommodations, please contact 
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