By substituting in the form for the posterior density of the correlation coefficient and then expanding as a power series in u, show that the integral can be expressed as a series of beta functions Hence, deduce that where cosht pr 1 pr 1 u...

The Answer is in the image, click to view ...

By substituting in the form for the posterior density of the correlation coefficient and then expanding as

Question:

By substituting

cosht - pr = 1 - pr. 1-u

in the form

$f. (0 p(p\x, y) x p(p)(1-p)(n-1)/2 (cosht - pr)-(n-1) dt$ for the posterior density of the correlation coefficient and then expanding

_[n(ad + 1) - 1] as a power series in u, show that the integral can be expressed as a series of beta functions. Hence, deduce that

p(plx, y) x p(p)(1 - p)(n-1)/2(1 - pr)-n+(3/2) S (pr),

where

+(+) pr 8 Su(pr) =1+ (2s - 1) 3 (n = /+s) -

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

Step by Step Answer:

Related Book For answer-question

Bayesian Statistics An Introduction

ISBN: 9781118332573

4th Edition

Authors: Peter M. Lee

See More Books

Question Posted: Nov 28, 2023 04:51 AM

See More Questions

2. Say the government levies a linear tax at rate t on all reported tax- able income. A representative agent decides on her labour supply (L) and how much income to shelter from taxation (e) through...
Let A be a square matrix. A square root of A is a matrix B of the same order such that B=A How to find a square root for a given matrix? If the matrix is symmetric, positive definite, there is a way...
Many microorganisms propel themselves, at low Reynolds number, using undulatory motion. Examples include the helical motion of E. colis corkscrew tail (Box 14.3), and undulatory waves in a forest of...
Look at the following code. Which line will cause a compiler error? Explain why. Line 1 public class ClassA Line 2 { Line 3 public ClassA () {} Line 4 public final int methodl (int a) () Line 5...
You are a member of the most popular student club on campus, the Accounting Antidefamation Organization. Recently, the field of accounting was savagely attacked in an article written by a militant...
Liane Hansen has prepared the following list of statements about bonds. 1. Bonds are a form of interest-bearing notes payable. 2. When seeking long-term financing, an advantage of issuing bonds over...
On February 16, 2005, Joseph and Margaret Buset borrowed $192,000 from Fremont Investment & Loan (the Originator). The loan was secured by a mortgage on a residential condominium. The mortgage named...
Lebo Hardware reported cost of goods sold as follows. Lebo made two errors: (1) 2010 ending inventory was overstated $3,000, and (2) 2011 ending inventory was understated $6,000.InstructionsCompute...
Market Dynamics (10 Points) Between 1980 and 1990, the number of employed women grew sharply but the number of women employed as secretaries actually fell. There are two theories as to why this...
Fill in the details of the derivation of the prior from Jeffreys' rule as outlined at the end of Section 6.1. p(0, V, p) x (v)- (1-)-3/2
By writing and using repeated integration by parts, show that the posterior distribution of p can be expressed as a finite series involving powers of and Student's t integrals. w(w+w-2pr)-(n-1) =...
A long wire and a square loop lie in the plane of the paper. Both carry a current in the direction shown in Figure Q24.26. In which direction is the net force on the loop? Explain. Figure Q24.26. L 7...
Minister Kelvin Smith and his wife Tracy are ordained in the local Baptist church. In the current year, Kelvin receives payments of $150,000 from the church for his services ($60,000-compsensation...
Calculate the following financial ratio for this company: . Average Accounts Payable Payment Period (Days Payable Outstanding)using 365 days per year Cash Accts. Receivable $1,000.0 Accounts payable...
Company: Nordstroms (Department store chain) . Identify symptoms of a problem for Nordstroms, analyze those symptoms in order to identify root causes. Use all information to wr1te a concise problem...
Why might a firm lower price during peak demand? Provide an example.
How do performance management practices vary across different organizational contexts and industries, and what lessons can be learned from best practices and case studies in performance management...
Dade Co. both purchases and constructs various equipment it uses in its operations. The following items for two different types of equipment were recorded in random order during the calendar year...
Identify the tax issues or problems suggested by the following situations. State each issue as a question. Jennifer did not file a tax return for 2007 because she honestly believed that no tax was...
You operate a small hardware store with emphasis on manufacturer brands and have barely been breaking even. Evaluate the proposal of a large wholesaler that offers a full line of dealer-branded...
Give an example where packaging costs probably ( a ) lower total distribution costs and ( b ) raise total distribution costs.
How would the marketing mix for a staple convenience product differ from the one for a homogeneous shopping product? How would the mix for a specialty product differ from the mix for a heterogeneous...
On 1 April 2021, Silk Route Consultants acquired a new computer system from Gigabyte Systems, serial number 1380ARR796. The purchase order was 000935 and the payment was made by bank transfer. The...
Evaluate the function for the given values. k(x) = [2x+2]] (3) ) 3 (b) k(-2.3) 2 (c) k(1.2) 4 (d) k() 3.33 x Good job!
Determine the two-sided limit of the function f in the figure at the given point. x (Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist. Use the o symbol if the...

By substituting in the form for the posterior density of the correlation coefficient and then expanding as

Question:

cosht - pr = 1 - pr. 1-u

Step by Step Answer:

Bayesian Statistics An Introduction

Students also viewed these Business questions