Problem 1. Let's consider a discrete probability distribution with 2 parameters, 0 = distribution is: (01,02). This p(X = 1|(01, 02)) = 01 P(X = 2|(01, 02)) = 02 P(X = 3|(01,02)) = 1 - (01 +02) The possible values of 0 = (01,02) are the values such that 01 ≥ 0, 02 ≥ 0, and 01 + 02 ≤1. Suppose we get the data: X₁ = 1, X2 = 2, X3 = 1, X4 = 1, and X5 = 3. Use the method of moments to find an estimate of 0. Problem 2. Suppose we draw n samples from a Binomial(0,k) distribution. (That each, we draw k Bernoulli random variables with probability 0, and we do all of that n times.) Say n = 3 and k = 5, and we saw X₁ = 2, X2 = 1, and X3 = 4. What is the maximum likelihood estimate of 0?
Problem 1. Let's consider a discrete probability distribution with 2 parameters, 0 = distribution is: (01,02). This p(X = 1|(01, 02)) = 01 P(X = 2|(01, 02)) = 02 P(X = 3|(01,02)) = 1 - (01 +02) The possible values of 0 = (01,02) are the values such that 01 ≥ 0, 02 ≥ 0, and 01 + 02 ≤1. Suppose we get the data: X₁ = 1, X2 = 2, X3 = 1, X4 = 1, and X5 = 3. Use the method of moments to find an estimate of 0. Problem 2. Suppose we draw n samples from a Binomial(0,k) distribution. (That each, we draw k Bernoulli random variables with probability 0, and we do all of that n times.) Say n = 3 and k = 5, and we saw X₁ = 2, X2 = 1, and X3 = 4. What is the maximum likelihood estimate of 0?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Solve in 1-2 hrs
![Problem 1. Let's consider a discrete probability distribution with 2 parameters, 0 =
distribution is:
(01,02). This
p(X = 1|(01, 02)) = 01
P(X = 2|(01, 02)) = 02
P(X = 3|(01,02)) = 1 - (01 +02)
The possible values of 0 = (01,02) are the values such that 01 ≥ 0, 02 ≥ 0, and 01 + 02 ≤1.
Suppose we get the data: X₁ = 1, X2 = 2, X3 = 1, X4 = 1, and X5 = 3. Use the method of moments
to find an estimate of 0.
Problem 2. Suppose we draw n samples from a Binomial(0,k) distribution. (That each, we draw k
Bernoulli random variables with probability 0, and we do all of that n times.)
Say n = 3 and k = 5, and we saw X₁ = 2, X2 = 1, and X3 = 4. What is the maximum likelihood
estimate of 0?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F423822cb-5d3f-48f4-83a4-f0ba428ae79c%2F12c16b9f-2ff7-4c4b-9369-99d606637147%2F3viab13_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1. Let's consider a discrete probability distribution with 2 parameters, 0 =
distribution is:
(01,02). This
p(X = 1|(01, 02)) = 01
P(X = 2|(01, 02)) = 02
P(X = 3|(01,02)) = 1 - (01 +02)
The possible values of 0 = (01,02) are the values such that 01 ≥ 0, 02 ≥ 0, and 01 + 02 ≤1.
Suppose we get the data: X₁ = 1, X2 = 2, X3 = 1, X4 = 1, and X5 = 3. Use the method of moments
to find an estimate of 0.
Problem 2. Suppose we draw n samples from a Binomial(0,k) distribution. (That each, we draw k
Bernoulli random variables with probability 0, and we do all of that n times.)
Say n = 3 and k = 5, and we saw X₁ = 2, X2 = 1, and X3 = 4. What is the maximum likelihood
estimate of 0?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 1 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman