Find a (two dimensional) sufficient statistic for (a, ) given an n sample x (x 1 , x 2 , ,x n ) from the two parameter gamma distribution where the parameters a and can take any values in p(x a, B) pr(a) xa exp( x B) (0 x 0)...

To find a twodimensional sufficient statistic for parameters a and given an n sample x x1 x2 xn fro ...

Find a (two-dimensional) sufficient statistic for (a, ) given an n-sample x = (x 1 , x

Question:

Find a (two-dimensional) sufficient statistic for (a, β) given an n-sample x = (x₁, x₂,...,x_n) from the two-parameter gamma distribution

p(x|a, B) = {pr(a)}-xa- exp(-x/B) (0 < x < 0)

where the parameters a and β can take any values in 0 < a

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

Step by Step Answer:

Related Book For book-img-for-question

Bayesian Statistics An Introduction

ISBN: 9781118332573

4th Edition

Authors: Peter M. Lee

See More Books

Question Posted: Nov 28, 2023 04:23 AM

See More Questions

Let X1,..., Xn be a random sample from a gamma (, ) population. Find a two- dimensional sufficient statistic for (, ),
Find a sufficient statistic for , given an n-sample x = (x 1 , x 2 ,. . . , x n ) from the exponential distribution where the parameter , can take any value in p(x|u) = ' exp(-x/) (0 < x < )
Find a sufficient statistic for Î¸, given a random sample, X1, X2, . . . , Xn, from a distribution with pdf f(x:0 ) = {(20)/[(9)]2 }x"-1 (1-x)"-1, 0 < x < 1
Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum Die 1 1 2 3 4 5 56 6 1 (1,1) (2,1) (3,1) (4,1) (5,1) (6,1) One can roll a sum of 9 in Die 2 2 3 4 5 (1,2)...
A criticism of FASB Statement No. 87 is that it did not require companies to report the funding status of a defined benefit pension plan (overfunded if the plan assets exceed the projected benefit...
Have you ever watched a fire and noticed that the burning of various materials often produces flames of different colors? Why is this so?
Use StatCrunch to generate the following random numbers. a. 8 numbers between 1 and 50 b. 15 numbers between 1 and 150 c. 16 numbers between 1 and 325 d. 20 numbers between 1 and 1000
In January 2017, Mitzu Co. pays $2,600,000 for a tract of land with two buildings on it. It plans to demolish Building 1 and build a new store in its place. Building 2 will be a company office; it is...
Exercise 5-11 (Algo) Comprehensive Exercise; Second Production Department-Weighted-Average Method (LO5-2, LO5-3, LO5-4, LO5-5) Scribners Corporation produces fine papers in three production...
Find a family of conjugate priors for the likelihood 1(|x) = p(x|a,), where p(x |a, ) is as in the previous question, but a is known. Previous question Find a (two-dimensional) sufficient statistic...
The following are the dried weights of a number of plants (in g) from a batch of seeds: Give 90% HDRs for the mean and variance of the population from which they come. 4.17, 5.58, 5.18, 6.11, 4.50,...
Which of the following should be classified as current liabilities? 1) Trade accounts receivables 2) Sales tax payable 3) Trade accounts payables 4) Contributed capital a. 1 and 2 b. 2 and 3 c. 3 and...
Suppose a company bases its hourly rates on the number of customers per hour. The hourly rate the company charges is given by two functions where = g(2) 4, g(3) = 2, 9(4) = 3 and f(2) = 6, f(3) = 3,...
Which statements about insurance are true? 1- Insurance protects against the the worst-case scenario. All rational people want to buy insurance. 2- Insurance costs money, and therefore always...
need step by step instruction about creating this: in NX12 PART NAME: BRACKET ALL FILLETS R .313 ALL ROUNDS R .625 2X .500 1/500 2.875 9.500 4750 2875 $500 3.000 750 GENTERED IN OBJECT 2.375
8. Convert the angle - 7t from radian measure into degree measure. Show some work. 4
4. Variance Analysis. (CPA, adapted) The H. G. Company uses a standard cost system in accounting for the cost of one of its products. < The Budget is based on normal capacity of monthly production of...
Explain why the loss resulting from the sale of a computer in the following three situations is treated differently for income tax purposes: a. Monica sells her personal computer at a loss of $1,300....
What do you think?
In Example 3.1, adapt the code to include a posterior predictive $p$-tests to assess skewness and kurtosis in the residuals. For example, the $p$-test for skewness would compare a skew measure...
Apply the normal-latent beta model to data on short-term changes in depression ratings (Tarpey and Petkova, 2010). Such changes in depression are unlikely to be due to the pharmacological...
A request in the UK parliament (http://www.theyworkforyou.com/wrans/?id=2011-03 $-07 c .44095$.h) related to 2009 mortality rates (per 100000 population) in Wales according to income decile of...
Slow Roll Drum Co. is evaluating the extension of credit to a new group of customers. Although these customers will provide $198,000 in additional credit sales, 13 percent are likely to be...
Wendell's Donut Shoppe is investigating the purchase of a new $39,600 conut-making machine. The new machine would permit the company to reduce the amount of part-time help needed, at a cost savings...
1.Discuss the challenges faced with Valuing Stocks and Bonds. As part of this discussion, how will the selected item be implemented in an organization and its significance? 2. Discuss how Valuing...

Find a (two-dimensional) sufficient statistic for (a, ) given an n-sample x = (x 1 , x

Question:

p(x|a, B) = {pºr(a)}-xa-¹ exp(-x/B) (0 < x < ∞0)

Step by Step Answer:

To find a twodimensional sufficient statistic for parameters a and given an n sample x x1 x2 xn fro...View the full answer

Bayesian Statistics An Introduction

Students also viewed these Business questions