Suppose that Y is a gamma random variable with parameters r and and the prior is
Question:
Suppose that Y is a gamma random variable with parameters r and θ and the prior is also gamma with parameters s and μ. Show that the posterior pdf is gamma with parameters r +s and y + μ.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
The numerator ...View the full answer
Answered By
Sushil Yadav
Already done B. Sc. In mathematics and just now finished Masters in mathematics. Besides this have done extra certification course in NPTEL run by IIT. Teaching since 5 years as maths tutor in a private institute.
0.00
0 Reviews
10+ Question Solved
Related Book For
Introduction To Mathematical Statistics And Its Applications
ISBN: 9780321693945
5th Edition
Authors: Richard J. Larsen, Morris L. Marx
Question Posted:
Students also viewed these Statistics questions
-
Suppose that W, the amount of moisture in the air on a given day, is a gamma random variable with parameters (t, ). That is, its density is f(w) = ew(w)t1 / (t), w > 0. Suppose also that given that W...
-
Verify that Var(X) = / 2 when X is a gamma random variable with parameters and .
-
If X is a gamma random variable with parameters (n, 1), approximately how large need n be so that 101 01?
-
This section contains 6 questions. Questions 83 to 88 have four statements (A, B C and D) given in Column I and four statements (p, q, r and s) in Column II. Any given statement in Column I can have...
-
The following data represent the price appreciation in home values between the rst quarter of 1991 and the second quarter of 2010 for homes in each of the 50 states plus the District of Columbia. (a)...
-
[The following information applies to the questions displayed below.] The following data is provided for Garcon Company and Pepper Company for the year ended December 31. Finished goods inventory,...
-
If career opportunities in an organization are limited, do managers have a responsibility to convey this information to employees? Explain your position.
-
Oakland College is considering outsourcing grounds maintenance. In this regard, Oakland has received a bid from Highline Grounds Maintenance for $295,000 per year. Highline states that its bid will...
-
What strategies can visionary leaders employ to inspire innovation and creativity while balancing the inherent risks associated with pushing boundaries and disrupting established norms?
-
For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. Label the diagrams properly and provide values at all keypoints. Hinge 400 lbf/ 40 lbfin 0...
-
In Questions 5.8.2-5.8.4, is the Bayes estimate unbiased? Is it asymptotically unbiased?
-
Let Y 1 , Y 2 , . . . , Y n be a random sample from a gamma pdf with parameters r and , where the prior distribution assigned to is the gamma pdf with parameters s and . Let W = Y 1 + Y 2 + + Y n ....
-
Show that is Hermitian.
-
A start-up company needs $2 Million funds to finance their growth. A venture capitalist approached the shareholders to provide them with the funds needed but the required return per year demanded is...
-
Adrial (20) is a single North Carolina resident. She is a full-time student and will be claimed as a dependent on her parents' tax return. She is required to file a North Carolina tax return. What...
-
5. Describe the critical path and critical node in project management. Find out the critical path for the following table. Also find out Early Start, Early Finish, Late Start, Late Finish of all the...
-
3.4 Sales of cars declined by 15 per cent in a recent recession. During this period the price of cars rose by 6 per cent, average income fell by 4 per cent and the price of petrol rose by 20 per...
-
What are two brand benefits of maintaining an active community across platforms?
-
In Exercises, find the derivative of the function. y = ln(In x)
-
Use Stokes' Theorem to evaluate f(y+sin x) dx+(z+cos y) dy+rdz, where C is the rve r(t) = (sint, cost, sin 2t), t = [0, 2].
-
The shafts in Exercise 2-53 are further classified in terms of the machine tool that was used for manufacturing the shaft.
-
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:
-
Samples of a cast aluminum part are classified on the basis of surface finish (in micro inches) and length measurements. The results of 100 parts are summarized as follows:
-
The process a small firm uses for manufacturing skateboards is depicted below: Forming Painting Drying Assembly Labeling Activity Forming Painting Drying Assembly Labeling Processing Time 8 2 10 4...
-
Ratgo Corp. is a wholesaler of imported products. It reported $4,500,000 in sales for fiscal year 2023, all on account. The company collected $4,450,000 in cash from customers during the year and...
-
An additional standard deduction is allowed for: Lesson 4 ASSI Best Solutions is a retail merchandiser selling computer equipment. Best uses the gross method of accounting for inventory purchases and...
Study smarter with the SolutionInn App