Question: Verify that if Y has a beta distribution with = v1/2 and = v2/2 , then X = v2Y/v1(1 Y) Has an

Verify that if Y has a beta distribution with α = v1/2 and β = v2/2 , then
X = v2Y/v1(1 – Y)
Has an F distribution with v1 and v2 degrees of freedom.

Step by Step Solution

★★★★★

3.39 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

fy V V 2 2 x1y X 1 2 y y121 1y21 v 1y ... View full answer

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

Document Format (1 attachment)

Word file Icon

583-M-S-S-D (2070).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Decide in each case whether the hypothesis is simple or composite: (a) The hypothesis that a random variable has a gamma distribution with = 3 and = 2; (b) The hypothesis that a random variable has...

Q:

Let X be a random variable with an Fp,q distribution. (a) Derive the pdf of X. (b) Derive the mean and variance of X. (c) Show that 1/X has an Fp,q distribution. (d) Show that (p/q)X/[ 1 + (p/q)X\...

Q:

Suppose that X has a beta distribution with parameters = 2.5 and = 2.5. Sketch an approximate graph of the probability density function. Is the density symmetric?

Q:

Verify that if X has an F distribution with v1 and v2 degrees of freedom and v2 , the distribution of Y = v1X approaches the chi-square distribution with .1 degrees of freedom.

Q:

Please help solve this statistics problem, please provide detailed working out for the parts, thanks! Let U1, U2, , U\" be independent and identically distributed normal random variables with...

Q:

Let U1, U2, , U\" be independent and identically distributed normal random variables with expectation zero and unknown variance 0'2. In this problem, we suppose that the random variables U1, U2, , U"...

Q:

Verify that if T has a t distribution with v degrees of freedom, then X = T2 has an F distribution with v1 = 1 and v2 = v degrees of freedom.

Q:

-- Come up with a new audit program related to sales and marketing -- Identify risks in a detailed manner against the 7 sub processes listed below -- Categorize the chosen risks -- Identify and...

Q:

Unit Tests The shapes_test.py file will contain the unit tests (some have been provided) to test the Point and Circle classes. Review the Testing lecture from Week 7 if you need help, especially how...

Q:

PLEASE HELP WITH THIS NETWORKING LAB PRACTISE Addressino Table Part 1: Open the prepared Packet I racer simulation file (from Part I). Part 2: Configure Single-Area OSPFv2 (Ignore all the red font...

Q:

A carpet sells for $24.99 per square yard. What is the price of the carpet per square meter? $ 30.08 How much will it cost to carpet an area of 1725 ft? $ 5761.5 Incorrect /m

Q:

What percentage of the company's assets are from liabilities? Does the company carry too much debt? What is the analysis for this company? Company balance sheet 2022: Total long-term liabilities -...

Q:

1 . A company is contemplating a long - term bond issue. The executive committee is debating whether to include a call provision. Briefly explain the rationale for including a call provision. What...

Q:

The central banks rate of interest decides how much investment is carried out in an economy.

Q:

If one of the physicians is randomly selected, what is the probability of getting one who calculated the dose correctly? Is that probability as high as it should be? Correct Dosage Calculation Wrong...

Q:

If one of the physicians is randomly selected, what is the probability of getting one who calculated the dose incorrectly? Is that probability as low as it should be? Correct Dosage Calculation Wrong...

Q:

a.For the physicians given the bottles labeled with a concentration, find the percentage of correct dosage calculations, then express it as a probability. b.For the physicians given the bottles...

Q:

Jerry just purchased a bond paying semiannual interest for a price of $1, 000. Yields on bonds of similar risk are 10.8% The bond has a face value of $1, 000. Based on this information, the coupon...

Q:

Watkins Resources faces a smooth annual demand for cash of $1.70 million, incurs transaction costs of $65 every time the firm sells marketable securities, and can earn 2.7 percent on its marketable...

Q:

Include the correct Excel Forumulas to solve this question