Question: 5. If YIN Gamma(a, 1), Y2N Gamma( , 1), and Yl and Y2 are independent, then X = is Beta ( a, D )

5. If YIN Gamma(a, 1), Y2N Gamma( , 1), and Yl and

Y2 are independent, then X = is Beta ( a, D )

5. If YIN Gamma(a, 1), Y2N Gamma( , 1), and Yl and Y2 are independent, then X = is Beta ( a, D ) distributed. Prove this.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Questions . Please answer each question in detail 1) Consider the following technology: c(yi) = yi2 +2yi +4. Many firms have access to this technology, in fact so many that there is not room for all...

Q:

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Q:

1.) What is the hypothetical likelihood that a considerably number will be moved on a number 3D shape? 2.) What was the test likelihood of how often a much number was really moved utilizing the...

Q:

ATTEMPT ALL QUESTIONS. GIVE DETAILED EXPLANATION 8.3.1. Evaluate the normalizing constant c1 in (8.16). Then evaluate the joint marginal densities of (x1 ,... , xk?1 ), 8.3.2. For the model in (8.17)...

Q:

SOCI 311 Spring 2020 Syed Hammad Ali Final Exam Total Marks: 75 Name: Part A: Short Answer Questions - [40 Marks] 1. Which of the following statements best described the relationship between the...

Q:

Step by step solution, attend to all questions... CRX Industries Inc. manufactures a lid for a hydroponic garden planter. The standard cost for one planter is as follows: Std. Quality of Hours...

Q:

My main issue is understanding what this assignment is asking me to do and then how to start the project. 5 Interfacing with Blackbox #include #include 2 3 4 5 int main(void) { As a part of this...

Q:

Explain the solutions clearly 5. Gamma Distribution. Let U and V be continuous independent random variables and let W = U+ V. Show that the probability density function of W can be written as fw(w) =...

Q:

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

Q:

Possible Multiple Choice Questions for the Exam. Focus on the topics discussed in class. Chapter 1 Multiple Choice Identify the choice that best completes the statement or answers the question. ____...

Q:

Find nullity of linear transformation T(x1,x2,x3)=(x1-x2,x1+x3)

Q:

The invention of a new machine serves as a mobile station for receiving and accumulating packed flats of strawberries close to where they are picked, reducing workers time and burden of carrying full...

Q:

Manufacturing Firm Income Statement Refer to the information for Clear Water Drinking Company. Clear Water Drinking Company manufactures high-quality drinking flasks and sold 201,000 flasks during...

Q:

Research Title: A Case study about Social media and mental health among university students Introduction A. Background of Study B. Problem Statement C. Research Questions D. Research Objectives E....

Q:

The relevance of the information to the interpreter

Q:

The first-hand information rule: If an event is communicated to us by someone who witnessed an event at first-hand, we will have more confidence in the information than if we were told about it by...

Q:

The background knowledge of the interpreter