Find the data that yields the given log-likelihood ?(?;data)

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

Find the data that yields the given log-likelihood ?(?;data)

Inspection trials are carried out in a factory to assess the quality of products. In each trial r; products are tested and Y;, the
number of satisfactory items in the trial, is assumed to follow the binomial model Y₁ Bin(ri, p), where p is the
proportion of satisfactory items in the production process.
Using inspection data (r1, y₁), (r2, Y2), …., (˜n, Yn) and assuming independent trials, the following log-likelihood for p
was obtained
l(p; data) = 19.5678 +40 · log(p) + 10 · log(1 − p).
Transcribed Image Text:Inspection trials are carried out in a factory to assess the quality of products. In each trial r; products are tested and Y;, the number of satisfactory items in the trial, is assumed to follow the binomial model Y₁ Bin(ri, p), where p is the proportion of satisfactory items in the production process. Using inspection data (r1, y₁), (r2, Y2), …., (˜n, Yn) and assuming independent trials, the following log-likelihood for p was obtained l(p; data) = 19.5678 +40 · log(p) + 10 · log(1 − p).
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
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