Let X1,..., Xn be a random sample from a population with probability density function (pdf) f(x | 0) {: Ox0-1, 0 1, where 0 > 0 is unknown. Let 1 -0а-1 еxp(-0) r(a) f(0) be the prior distribution for 0, where a > 0 is a known constant, I(-) is the gamma function defined as I(a) = Jo xª-'e° dx for a > 0.
Let X1,..., Xn be a random sample from a population with probability density function (pdf) f(x | 0) {: Ox0-1, 0 1, where 0 > 0 is unknown. Let 1 -0а-1 еxp(-0) r(a) f(0) be the prior distribution for 0, where a > 0 is a known constant, I(-) is the gamma function defined as I(a) = Jo xª-'e° dx for a > 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
Expert Solution
Step 1
We have given that
Let X 1 ,...,X n be a random sample from a population with probability density function
f(x/)=x-1 0<x<1
And the prior distribution of is
f()=1/-1exp(-)
The We have to find the posterior distribution of :
Step by step
Solved in 2 steps with 1 images
Similar questions
- Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman