An electronic product with n identical parts connected in parallel cannot function properly only if all parts fail. The random variable X denotes the lifespan of each part. The probability density function of X is given by ƒ(x; 0) = 2/12 1(0,0) (x). (1) Find the probability density function of the lifespan of this product, which is denoted by Y. (2) Show that Y is a consistent estimator of 0. (3) Find the most likelihood estimator 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
icon
Related questions
Question
An electronic product with n identical parts connected in parallel cannot function properly only if all parts fail.
The random variable X denotes the lifespan of each part.
The probability density function of X is given by f(x; 0)
21(0,0)(x).
(1) Find the probability density function of the lifespan of this product, which is denoted by Y.
(2) Show that Y is a consistent estimator of 0.
(3) Find the most likelihood estimator of 0.
Transcribed Image Text:An electronic product with n identical parts connected in parallel cannot function properly only if all parts fail. The random variable X denotes the lifespan of each part. The probability density function of X is given by f(x; 0) 21(0,0)(x). (1) Find the probability density function of the lifespan of this product, which is denoted by Y. (2) Show that Y is a consistent estimator of 0. (3) Find the most likelihood estimator of 0.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE 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