For the Dirichlet prior for multinomial probabilities, show the posterior expected value of i is (15.3).
Question:
For the Dirichlet prior for multinomial probabilities, show the posterior expected value of πi is (15.3). Derive the expression for this Bayes estimator as a weighted average of pi and E(πi).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (8 reviews)
The Dirichlet prior for multinomial probabilities is a distribution over the space of probability ve...View the full answer
Answered By
Ernie Moises Evora
I have worked as a teacher, a tutor and instructor.
I have also worked as a community leader in my community.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
In Exercise determine whether the given graph has a Hamilton circuit. If it does, find such a circuit. If it does not, give an argument to show why no such circuit exists. b. d e
-
The discrepancies between p-values and Bayes posterior probabilities are not as dramatic in the one-sided problem, as is discussed by Casella and Berger (1987) and also mentioned in the Miscellanea...
-
Show that for multinomial sampling, X2F = X2. What is E [X2] in (10.9) for a multinomial sample?
-
Suppose that a typical taxpayer has a marginal personal income tax rate of 35 percent. The nominal interest rate is 13 percent, and the expected inflation rate is 8 percent. a. What is the real...
-
Explain the following improvement strategies: Group Technology Synchronized Production Jidoka Supplier Partners Total Productive Maintenance
-
Journalize the six entries that adjust the accounts at December 31. One of the accounts was affected by two different adjusting entries. Unadjusted Trial Balance Adjusted Trial Balance Cash 3,000...
-
Marissa's spaceship approaches Joseph's at a speed of \(0.99 c\). As Marissa passes Joseph, they synchronize their clocks to both read \(t=0 \mathrm{~s}\). When Marissa's clock reads \(100...
-
Ethical Dilemma The American car battery industry boasts that its recycling rate now exceeds 95%, the highest rate for any commodity. However, with changes brought about by specialization and...
-
Huge fluxes of x rays are detected from the direction of Cygnus X-1 with a spectrum that looks similar to that of a blackbody with a peak wavelength of 1.45 nm (1 nm = 10-9 m). (These x rays are...
-
The graph in Figure 13 shows the amount of water in a city water tank during one day when no water was pumped into the tank. What was the average rate of water usage during the day? How fast was...
-
For Bayes estimator (15.4), show that the total mean squared error is [K/(n + K)] 2 [( i i ) 2 ] + [n/(n + K)] 2 [1 i 2 ]. Show that (15.5) is the value of K that minimizes this.
-
Consider marginal homogeneity for an I I table. a. Letting F() = A, explain how (i) F() = 0, where A has I 1 rows, and (ii) F() = X, where A has 2(I 1) rows and has I 1 elements. In part (ii),...
-
Which is ethically more acceptable, to attempt to change how someone behaves, or to attempt to change how someone thinks?
-
Question 1 - Environment Impact Assessment A foreign company seeks to build a factory to manufacture face masks and hand sanitizers. They have purchased an empty lot within an industrial zone whilst...
-
Knight, Inc., sued Real Developers, Inc., because Real had failed to pay a $ 5 0 , 0 0 0 bill owed to Knight. Both companies are incorporated in Delaware and operate only in Delaware. Knight lost at...
-
Most environmental laws passed by the legislative branch result in the enforcing agencies writing regulations that will implement the law. Describe where in the Code of Federal Regulations you would...
-
2 . What is the impact of the uninsured population on hospitals and long - term care facilities and their ability to remain profitable?
-
Identify 5 problem on cyber crime laws and 5 problems on environmental laws and discuss why is it a problem then give some possible solution to it ?
-
What is the main criticism of the balanced framework?
-
1. What is the semi-annually compounded interest rate if $200 accumulates to $318.77 in eight years? Answer in percentage with two decimal places. 2. What is the quarterly compounded interest rate if...
-
Exercise 6.47 discussed the record losing streak of the Pittsburgh Pirates. In particular, if the Pirates chance of winning any single game is 0.42, then at the beginning of a new season, the...
-
For the 68 World Series played between 1945 and 2013, 13 (19%) ended after 4 games, 12 (18%) after 5 games, 15 (22%) after 6 games, and 28 (41%) needed to go all the way to 7 games. a. Find the...
-
A company that is selling condos in Florida plans to send out an advertisement for the condos to 500 potential customers, in which they promise a free weekend at a resort on the Florida coast in...
-
3. Consider the random variable X: The number of even numbers showing when a pair of standard six-sided dice are rolled. a. Create the probability distribution for X. b. Find the mean of X. c. Find...
-
A block is pressed against a vertical wall by a force F, as the drawing shows. P This force can either push the block upward at a constant velocity or allow it to slide downward at a constant...
-
The accompanying figure depicts a distillation column that is used in a petroleum plant to fractionate (i.e. separate) a liquid feed stream containing equimolar amounts of benzene and toluene. The...
Study smarter with the SolutionInn App