Class Notes (999,689)
CA (576,278)
UW (23,396)
STAT (716)
STAT231 (102)

stat 231--a1.pdf

1 Page
Fall 2013

Course Code
Matthias Schonlau

This preview shows half of the first page. Sign up to view the full page of the document.
Stat 231; Fall 2013. Assignment 1
Instructors: Schonlau/ Banerjee
Due date: Monday, 30 Sep, 2013 at noon
This assignment consists of two parts:
a) likelihood questions 1+2
b) online quiz related to descriptive statistics/ graphs.
Upload your solution to the likelihood questions into the online course Dropbox
by the due date (Please use either a pdf or a word document). They will be
marked online.
For the quiz you have 3 attempts (3 times pressing the submit button. One
attempt can stretch over several days. You can save the quiz and continue on a
different day. The highest attempt will be recorded.
There are no course grades associated with the assignment. We record the
theoretical grades only to see which questions are difficult for you and how many
students participate.
1) Suppose we have a Bernoulli r.v (
), where
is the probability of
Let X = number of trials before the 1st success occurs.
Given a data set
where each xis are independent draws from
the r.v X as defined above,
(a) Construct the likelihood function
(b) Construct the log-likelihood and the relative likelihood function.
(c) Find the MLE for
2) (more challenging) Suppose
is an independent sample drawn
from the random variable X, where X follows an uniform distribution, i.e.
, where θ is the unknown parameter.
a) Write down the likelihood function based on your observations.
b) Find the MLE for θ.

Loved by over 2.2 million students

Over 90% improved by at least one letter grade.

Leah — University of Toronto

OneClass has been such a huge help in my studies at UofT especially since I am a transfer student. OneClass is the study buddy I never had before and definitely gives me the extra push to get from a B to an A!

Leah — University of Toronto
Saarim — University of Michigan

Balancing social life With academics can be difficult, that is why I'm so glad that OneClass is out there where I can find the top notes for all of my classes. Now I can be the all-star student I want to be.

Saarim — University of Michigan
Jenna — University of Wisconsin

As a college student living on a college budget, I love how easy it is to earn gift cards just by submitting my notes.

Jenna — University of Wisconsin
Anne — University of California

OneClass has allowed me to catch up with my most difficult course! #lifesaver

Anne — University of California
Unlock Document

Only half of the first page are available for preview. Some parts have been intentionally blurred.

Unlock Document
You're Reading a Preview

Unlock to view full version

Unlock Document

You've reached the limit of 4 previews this month

Create an account for unlimited previews.

Already have an account?

Log In


Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.