There is need to calculate R a+1 a f(x)dx, where f(x) has the Pareto distribution f(x)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
There is need to calculate R a+1 a f(x)dx, where f(x) has the Pareto distribution f(x) = 2a 2 x3, a<x<∞. A student suggests using a Metropolis-Hastings algorithm with candidate (jumping) density e-x, 0<x<*>. (a) Write out this algorithm in detail, showing exactly how to calculate the integral. (b) Another student suggests using the Cauchy as a candidate (jumping) density: f(x) = 1 (1+x2), -∞<x<∞. Briefly discuss some pros and cons of this. (c) Can you suggest a way of calculating the integral that is better than those in parts (a) and (b). You do not have to provide anything, but you should define your choice There is need to calculate R a+1 a f(x)dx, where f(x) has the Pareto distribution f(x) = 2a 2 x3, a<x<∞. A student suggests using a Metropolis-Hastings algorithm with candidate (jumping) density e-x, 0<x<*>. (a) Write out this algorithm in detail, showing exactly how to calculate the integral. (b) Another student suggests using the Cauchy as a candidate (jumping) density: f(x) = 1 (1+x2), -∞<x<∞. Briefly discuss some pros and cons of this. (c) Can you suggest a way of calculating the integral that is better than those in parts (a) and (b). You do not have to provide anything, but you should define your choice
Expert Answer:
Answer rating: 100% (QA)
a Write out this algorithm in detail showing exactly how to calculate the integral ANS WER The Met r... View the full answer
Posted Date:
Students also viewed these marketing questions
-
A random variable X has a Pareto distribution if and only if its probability density is given by Where α > 0. Show that µ'r exists only if r for x >1 elsewhere
-
A family of curves has polar equations ra = | sin 2 | where a is a positive number. Investigate how the curves change as a changes.
-
Consider the following problem. Maximize Z = -x1 + 4x2, subject to -3x1 + x2 6 x1 + 2x 4 and x2-3, (no lower bound constraint for x) Identify the optimal solution graphically
-
Colt Division had the following results for the year just ended: Sales..................................$750,000 Contribution margin ..................300,000 Controllable...
-
Diettreich Electronics wants its shareholders to earn a 15% return on their investment in the company. At what price would the stock need to be priced today if Diettreich Electronics had a a. $0.25...
-
AllTreads produces two types of exercise treadmills: Regular and Deluxe. The exercise craze is such that AllTreads could use all of its available machine hours producing either model. The two models...
-
On 1 April 2001, Machinery Limited bought 80% of the ordinary share capital of Components Limited. On 1 April 2003, Machinery Limited was itself taken over by Sales Limited who purchased 75% of the...
-
Mr. Soukup has prepared the following list of statements about service companies and merchandisers. 1. Measuring net income for a merchandiser is conceptually the same as for a service company. 2....
-
The attendance at a County Fair for one week is given. Tuesday 46,078 Wednesday 33,938 Thursday 51,614 Estimate the number of attendees during the week. Friday 49,408 Saturday 50,201
-
Translate the given theoretical conformer from the H wedge-and-dash drawing into its Newman projection. Cl I Cl F Br OH F Br
-
"Gold spot price is currently at $1850. Continuously compounding interest rate on dollar is 1%. Assume there is no storage or other cost/benefit on gold. If you are short 5 contracts of gold futures...
-
discuss the role of stem cells in tissue regeneration and repair, including their potential therapeutic applications in regenerative medicine and the challenges associated with harnessing their...
-
Q1. (a) Explain the following risks in international finance: Financial Risk Factors Political Risk Country Risk (b) Explain briefly the following forms of exposure to exchange rate fluctuations: (i)...
-
Use the following information on zero-coupon bonds for the questions. Maturity 1 2 3 4 5 Price (per $100 face value) 94.52 89.68 85.40 81.65 78.35 YTM a. Compute the YTM for each of the five...
-
Your 504 Technologies client is thinking about buying either tablets or smartphones for her traveling crew, and has asked you to verify if it would be a financially good investment. The client...
-
A bond has a nominal (par) value of IDR 100,000,000 and matures in 5 years. The obligation is to pay interest semi-annually (every 6 months) with an annual coupon interest rate of 8%. The expected...
-
Return to question Whirly Corporation's contribution format income statement for the most recent month is shown below: Variable expenses Sales (8,100 units) Total $ 283,500 145,800 Per Unit $ 35.00...
-
Solve the relation Exz:Solve therelation ne %3D
-
____________ is the ability to control anothers behavior because of the possession of knowledge, experience, or judgment that the other person does not have but needs. (a) Coercive power (b) Expert...
-
The pattern of authority, influence, and acceptable managerial behavior established at the top of the organization is called ______________. (a) organizational governance (b) agency linkage (c) power...
-
The process by which managers help others to acquire and use the power needed to make decisions affecting themselves and their work is called ______________. (a) politics (b) managerial philosophy...
Study smarter with the SolutionInn App