X is proportional to Assume that the posterior for parameter (0, A) given the observation ()...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
X is proportional to Assume that the posterior for parameter (0, A) given the observation (") xª+a-1 (1-x)n-0+4-1, TT (0, X) X where a and 8 depend on X. The full conditionals are binomial and beta, [0|X, A] ~ Bin(n,A), [X]X, 0]~Be(a +0,3 + n = 0); and allow for Gibbs sampling. (a) Using suggested Gibbs sampler draw 10,000 samples from the posterior (0, X). Use n = 50, a = 3, and 3 = 5. (b) The theoretical marginal posterior for [X] is beta-binomial with pdf *(0|X) = (") B(a + 6,3 + n − 6), B(a, B) where B(u, v) = -1 (1-t)-1dt is standard beta function. Compare how well the histogram of 0's from (a), fits the theoretical beta-binomial density (0X). X is proportional to Assume that the posterior for parameter (0, A) given the observation (") xª+a-1 (1-x)n-0+4-1, TT (0, X) X where a and 8 depend on X. The full conditionals are binomial and beta, [0|X, A] ~ Bin(n,A), [X]X, 0]~Be(a +0,3 + n = 0); and allow for Gibbs sampling. (a) Using suggested Gibbs sampler draw 10,000 samples from the posterior (0, X). Use n = 50, a = 3, and 3 = 5. (b) The theoretical marginal posterior for [X] is beta-binomial with pdf *(0|X) = (") B(a + 6,3 + n − 6), B(a, B) where B(u, v) = -1 (1-t)-1dt is standard beta function. Compare how well the histogram of 0's from (a), fits the theoretical beta-binomial density (0X).
Expert Answer:
Answer rating: 100% (QA)
Assume the posterior for parameter given the observation x is proportional to xnxa11nx1 In this case the full conditionals for and are Binomial and Beta respectively xBinomialn xBetaanx To implement t... View the full answer
Related Book For
Posted Date:
Students also viewed these programming questions
-
(1 point) What is the sum of each pair of binary integers? (assuming 8-bit register is used) a. (1/2 point) 10001010+11000110 b. (1/2 point) 00001111 +00001110
-
The article referenced in Exercise 8.25 reported that for unmarried couples living together, the proportion that are racially or ethnically mixed is .15. Answer the questions posed in Parts (a) (e)...
-
Why does Erasmus attack Church officials in his In Praise of Folly? O For spending money on lavish art O For not allowing clergy to marry O For supporting military campaigns O For selling pardons and...
-
Solve Prob. 3.127 if the students want to place as much weight as possible in the fourth box and that at least one side of the box must coincide with a side of the trailer. Problem 3.127: A group of...
-
What is different about security training that's not a part of security awareness?
-
The time until a chemical reaction is complete (in milliseconds) is approximated by the cumulative distribution function \[ F(x)= \begin{cases}0 & x <0 \\ 1-e^{-0.01 x} & 0 \leq x\end{cases} \]...
-
Kansas Furniture Mart had sales of $1,150,000 during 20X1, including $600,000 of sales on credit. Balances on December 31, 20X0, were Accounts Receivable, $120,000, and Allowance for Bad Debts,...
-
Consider the following triangular system: where b is a real number. (x+y+z+w = 2 -6x+5w 3z-w 2w = b2 "I -4
-
XYZ is a calendar-year corporation that began business on January 1, 2017. For 2017, it reported the following information in its current year audited income statement. Notes with important tax...
-
The NPV of a new video game, Dexa 1, is 1.5 million after discounting all expected cash flows from the Dexa 1 game itself. However, if high demand in the market evolves, Dexa 2 is a possible sequel...
-
Why might the Internet be considered a great niche-marketing tool?
-
How does mobile media marketing help an IMC campaign be more consumer focused?
-
What needs to be considered before determining whether to use alternative media as a primary or secondary media source?
-
There are four categories of app users. Define each.
-
The marriage of mobile and social is known as SoLoMo. Define what it is and how it is used.
-
a)what's the max. dividend per share payable by x company and y company respectively b)if interest rate wasn't %6 of debt but 12% of debt , what is the maximum dividend payable per share x...
-
What are some of the various ways to implement an awareness program?
-
A test is available for detecting a certain genetic defect that is known to exist in 2% of the population. The test is false positive 10% of the time but detects true positives with probability .96....
-
The lead time for receiving an order can be 1 or 2 days, with equal probabilities. The demand per day assumes the values 0, 1, and 2 with the respective probabilities of .2, .7, and .1. Use the...
-
In applying the feasibility condition of the simplex method, suppose that x r = 0 is a basic variable and that x j is the entering variable with (B 1 P j ) r 0. Prove that the resulting basic...
-
Study Figure 13.6. Write a short report on Bayers management of its cash flows over the period reported. Figure 13.6 Bayer Group's consolidated statement of cash flows Income after taxes Income taxes...
-
Expenses and revenues are subjective; cash flows are facts. Therefore cash flow statements cannot mislead. Discuss.
-
Repeat Exercise 13.3, but this time work on the assumption that non-current assets that had originally cost :30,000, with accumulated depreciation of :12,000, had been sold during the year ended 31...
Study smarter with the SolutionInn App