1. Show that the density function f(x; a, B) has a relative maximum at x = a-1 a+B-2'

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

attached below

Suppose that X is a beta random variable with the density function
r(a+B)„a-1
T(a)r(8)*
'(1 – x)8–1
if 0 < x < 1
f (x; α, β) -
elsewhere
where a > 1 and B > 1. Show that the density function f(x; a, B) has a relative maximum at x =
a-1
a+B-2
Transcribed Image Text:Suppose that X is a beta random variable with the density function r(a+B)„a-1 T(a)r(8)* '(1 – x)8–1 if 0 < x < 1 f (x; α, β) - elsewhere where a > 1 and B > 1. Show that the density function f(x; a, B) has a relative maximum at x = a-1 a+B-2
Expert Solution
steps

Step by step

Solved in 2 steps with 3 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