4. Let X~N(0,02). Find the CRLB for variances of the unbiased estimator of T(0)= 0².

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
ANSWER 4 and 5 ONLY
III. Do what is indicated in order to answer the following problems, use black pen only.
Do as neatly as you can.
1. Derive the mean and variance of Be(p) using the exponential family of densities.
2. Derive the distribution of Chi Square Distribution using Gamma function.
3. The probability that a person dies from a respiratory infection is 0.002. Find the probability that
fewer than 5 of the next 2000 so infected will die.
4. Let X N(0,02). Find the CRLB for variances of the unbiased estimator of T(0) = 0².
5. Let X be a random sample from Ge(p). Find the MLE for p.
Transcribed Image Text:III. Do what is indicated in order to answer the following problems, use black pen only. Do as neatly as you can. 1. Derive the mean and variance of Be(p) using the exponential family of densities. 2. Derive the distribution of Chi Square Distribution using Gamma function. 3. The probability that a person dies from a respiratory infection is 0.002. Find the probability that fewer than 5 of the next 2000 so infected will die. 4. Let X N(0,02). Find the CRLB for variances of the unbiased estimator of T(0) = 0². 5. Let X be a random sample from Ge(p). Find the MLE for p.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman