Suppose X is b(n, Icirc cedil ) and Icirc cedil is beta( Icirc plusmn , Icirc sup2 ) Show that the marginal pdf of X (the compound distribution) is For x 0, 1, 2, , n n 1 ( ) (x ) (n x ) ki (x) ...

Suppose X is b(n, Î¸) and Î¸ is beta(Î±, Î²). Show that the marginal pdf of X

Question:

Suppose X is b(n, Î¸) and Î¸ is beta(Î±, Î²). Show that the marginal pdf of X (the compound distribution) is

For x = 0, 1, 2, . . . , n.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Probability and Statistical Inference

ISBN: 978-0321923271

9th edition

Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

See More Books

Question Posted: Oct 12, 2015 08:55 AM

See More Questions

Suppose X and Y are independent and Gaussian with means of X and Y, respectively, and equal variances of 2. The polar variables are formed according to R = X2 + Y2 and = tan1 (Y / X). - Find the...
Consider, again, the scenario described in Example 5.8.2-a binomial random variable X has parameters n and , where the latter has a beta prior with integer parameters r and s. Integrate the joint pdf...
Suppose X and Y have joint PDF Find (a) The joint PDF of U = X + Y and V = X (b) The marginal PDF of U. f(x, y) - to otherwise
Which of the following statements correctly describes the reporting of cash? (a) Cash cannot be combined with cash equivalents. (b) Restricted cash funds may be combined with cash. (c) Cash is listed...
The Allwardt Trust is a simple trust that correctly uses the calendar year for tax purposes. Its income beneficiaries (Lucy and Ethel) are entitled to the trust's annual accounting income in shares...
What is the largest percentage fee that a client who currently is lending (y < 1) will be willing to pay to invest in your fund? What about a client who is borrowing (y > 1)? For Challenge Problems...
When fitting a polynomial to a set of paired data, we usually begin by fitting a straight line and using the method on page 339 to test the null hypothesis $\beta_{1}=0$. Then we fit a...
Rockford Management Services began business on January 1, 2010, with a capital investment of $120,000.The company manages condominiums for owners (Service Revenue) and rents space in its own office...
How much work ( in joules) is done in lifting a 45.57 newton box from the floor to a table that is 0.73 meters above the floor? Round your final answer to two decimal places. A ball is thrown...
Ever since the day she took her first economics class in high school, Lydia wondered about the financial practices of her parents. They worked very hard to earn enough money to live a comfortable...
Consider the likelihood function L(, , 2) of Section 6.5. Let and be independent with priors N(1, 12) and N(0, 02). Determine the posterior mean of + (x x).
Let X have the pdf f(x|0) = 0tx-1e-0x *00 >x>0
Janice Morgan, age 24, is single and has no dependents. She is a freelance writer. In January 2016, Janice opened her own office located at 2751 Waldham Road, Pleasant Hill, NM 88135. She called her...
Some companies use labor cost to apply factory overhead to jobs. Identify another factor (or base) a company might reasonably use to apply overhead costs.
Riffraff, launched by entrepreneur Kirsten Blowers Stuckey, sells clothing, jewelry, and gifts. Required Kirsten uses variable costing in her business decisions. If Riffraff used absorption costing,...
Suppose Limor Fried expands her business, Adafruit Industries, to make electric scooters. Limor must decide on the best sales mix. Assume the company has a capacity of 400 hours of processing time...
Do you think it is correct for the European Commission to restrict mergers between American companies that do business in Europe? (For example, the European Commission vetoed the proposed merger...
Indicate in which financial statement(s) each item would most likely appear: income statement (I), balance sheet (B), statement of retained earnings (E), or statement of cash flows (CF). a. Assets b....
What is the purpose and importance of a statement of cash flows to business decision making?
Read the Forecasting Supply Chain Demand Starbucks Corporation case in your text Operations and Supply Chain Management on pages 484-485, then address the four questions associated with the...
Merck & Co. conducted a study to test the promise of its experimental AIDS vaccine ( The Boston Globe , September 22, 2007). Volunteers in the study were all free of the human immunodeficiency virus...
More and more households are struggling to pay utility bills given a shaky economy and high heating costs (The Wall Street Journal, February 14, 2008). Particularly hard hit are households with homes...
The research team at a leading perfume company is trying to test the market for its newly introduced perfume. In particular the team wishes to look for gender and international differences in the...
Can we justify the acquisition of Peloton Interactive Inc using NPV assuming the initial investment is 10% of the total market value of the company, 5% constant growth rate for the next three years...
Rivan Co. is considering a new three-year expansion project that requires an initial fixed asset investment of $2.18 million in a large building. The fixed asset applies three year MACRS for tax...
Mary would like to save $10,000 at the end of 5 years for a future down payment on a car. How much should she deposit at the end of each month in a savings account that pays 1.2%/a, compounded...

Suppose X is b(n, Î¸) and Î¸ is beta(Î±, Î²). Show that the marginal pdf of X

Question:

n! 1"(α+ β) Γ(x+α) Γ(n-x + β) ki (x) =

Step by Step Answer:

kx 0 0 1 0 02 Ia 3 Iar 3 ...View the full answer

Probability and Statistical Inference

Students also viewed these Statistics questions