Homework Help is Here – Start Your Trial Now!
Math
Statistics
Question 2 For the General Beta distribution of the first kind: X bei(a; b; a, ß) when fx(x) Show that E(X) = a + (x-a)-¹(b-x)B-1 B(x;ß) (b-a)a+B-1 a

Question 2 For the General Beta distribution of the first kind: X bei(a; b; a, ß) when fx(x) Show that E(X) = a + (x-a)-¹(b-x)B-1 B(x;ß) (b-a)a+B-1 a

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
See similar textbooks
icon
Related questions
Question
100%
Question 2 For the General Beta distribution of the first kind: X bei(a; b; a, ß) when fx(x) Show that E(X) = a + (x-a)-¹(b-x)-1 B(x;ß) (b-a)a+B-1 > a<x<b α αβ (b-a), var(X) = (b-a)² a+ß (a +B)² (a + ß+1) by (i) applying basic principles and (ii) using the fact that X = a + (b-a)Y where Y~ bei(a, ß)
Transcribed Image Text:Question 2 For the General Beta distribution of the first kind: X bei(a; b; a, ß) when fx(x) Show that E(X) = a + (x-a)-¹(b-x)-1 B(x;ß) (b-a)a+B-1 > a<x<b α αβ (b-a), var(X) = (b-a)² a+ß (a +B)² (a + ß+1) by (i) applying basic principles and (ii) using the fact that X = a + (b-a)Y where Y~ bei(a, ß)
Expert Solution
steps

Step by step

Solved in 4 steps with 10 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS