Problem #3: Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is Problem #3(a): Problem #3(b): f(x; 0) = (0+1)x 0 0≤x≤1 otherwise where > -1. A random sample of ten students yields the data 0.42, 0.60, 0.57, 0.67, 0.80, 0.59, 0.70, 0.53, 0.96, 0.51 (a) Use the method of moments to obtain an estimator for 8, and then use it to compute an estimate from the data. (b) Find the maximum likelihood estimator for 8, and then use it to compute an estimate for from the data. answer correct to 2 decimals
Problem #3: Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is Problem #3(a): Problem #3(b): f(x; 0) = (0+1)x 0 0≤x≤1 otherwise where > -1. A random sample of ten students yields the data 0.42, 0.60, 0.57, 0.67, 0.80, 0.59, 0.70, 0.53, 0.96, 0.51 (a) Use the method of moments to obtain an estimator for 8, and then use it to compute an estimate from the data. (b) Find the maximum likelihood estimator for 8, and then use it to compute an estimate for from the data. answer correct to 2 decimals
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
Transcribed Image Text:Problem #3: Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude
test. Suppose the pdf of X is
Problem #3(a):
Problem #3(b):
f(x; 0) =
(0+1)x
0
0 ≤ x ≤ 1
otherwise
where > -1. A random sample of ten students yields the data
0.42, 0.60, 0.57, 0.67, 0.80, 0.59, 0.70, 0.53, 0.96, 0.51
(a) Use the method of moments to obtain an estimator for 0, and then use it to compute an estimate from the data.
(b) Find the maximum likelihood estimator for 0, and then use it to compute an estimate for from the data.
answer correct to 2 decimals
answer correct to 2 decimals
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman