Suppose that X1, , Xn form a random sample from the Poisson distribution with unknown mean , and the variance of this distribution is to be estimated using the squared error loss function Determine whether or not the sample variance is an admissible estimator

Question: Suppose that X1, . . . , Xn form a random sample from the Poisson distribution with unknown mean , and the variance of this

Suppose that X1, . . . , Xn form a random sample from the Poisson with unknown mean θ, and the variance of this is to be estimated using the squared error loss function. Determine whether or not the sample variance is an admissible estimator.

Step by Step Solution

★★★★★

3.23 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

It was shown in Example 772 that T is a sufficient statistic in this problem Since the s... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

602-M-S-P-E (863).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A function y = f(x) is defined as follows: y = f(x) 1.0 1.025 1.049 1.072 Compute the values of dyldx and vidr at x =1.05. X 1.0 1.05 1.10 1.15 X 1.20 1.25 1.30 y = f(x) 1.095 1.118 1.140

Suppose that X1,..., Xn is a random sample from a n(, 2) population. a. If 2 is known, find a minimum value for n to guarantee that a .95 confidence interval for n will have length no more than /4....

Suppose that X1 and X2 form a random sample of two observed values from the exponential distribution with parameter . Show that X1/(X1 + X2) has the uniform distribution on the interval [0, 1].

Suppose that X1, . . . ,Xn form a random sample from the Poisson distribution with unknown mean ( > 0). Show that the joint p.f. of X1, . . . , Xn has a monotone likelihood ratio in the statistic

Suppose that X1, . . . , Xn form a random sample from the Poisson distribution with unknown mean , and let a. Determine the value of a constant c such that the estimator ecY is an unbiased estimator...

Suppose that X1, . . . , Xn form a random sample from the Poisson distribution with unknown mean . Let 0 and 1 be specified values such that 1 > 0 > 0, and suppose that it is desired to test the...

Suppose that X1, . . . , Xn form a random sample from the Poisson distribution with unknown mean , and suppose that it is desired to test the following hypotheses: H0: 1, H1: > 1. Show that if the...

Suppose that X1, . . . , Xn form a random sample from the Poisson distribution with unknown mean , and suppose that it is desired to test the following hypotheses: H0: 1, H1:

Suppose that X1, . . . , Xn form a random sample from a Poisson distribution for which the value of the mean is unknown, and that the prior distribution of is a certain specified gamma...

Suppose that X1, . . . , Xn form a random sample from a Poisson distribution for which the mean is unknown. Determine the M.L.E. of the standard deviation of the distribution.

Multiply and collect the like terms: 4 (3a+2b) (2b-a) -5a (2a-b)

Santiago Hernandez is planning to invest $25,000 in a money market account for two years. The account pays interest of 5.75 percent compounded on a monthly basis. How much money will Santiago...

Star Inc. purchased 5 0 0 0 shares of Mike Company at $ 3 . 5 0 per share on Oct. 2 4 , 2 0 2 0 . Star was paid a dividend of $ 0 . 5 0 per share on Dec. 9 , 2 0 2 0 . At the end of the calendar...

. Thomass English Muffins wanted to protect the method by which it makes muffins with air pocketswhat it calls nooks and crannies. What would be the best way to achieve this goal? (a) Patent (b)...

a. Show that another expression for the chi-squared statistic is Why is it more efficient to compute x2 using this formula? b. When the null hypothesis is H0: p1 = p2 =... = pk = 1/k (i.e., pi0 = 1/k...

a. Having obtained a random sample from a population, you wish to use a chi-squared test to decide whether the population distribution is standard normal. If you base the test on six class intervals...

Consider a large population of families in which each family has exactly three children. If the genders of the three children in any family are independent of one another, the number of male children...

The Cactus Pillow company has an investment opportunity that will last for 4 years. The project will require $2,300 of new fixed assets to implement. These fixed assets will be depreciated on a...

The Following are financial information of a jewelry shop: Exhibit 1 Hallstead Jewelers; Income Statements for Years Ended January 31 (thousands of dollars) 2003 2004 2006 Sales $8,583 $8,102 $10,711...

Item1\ 10\ points\ Time Remaining 3 hours 50 minutes 47 seconds03:50:47\ eBookHintAskPrintReferencesCheck my workCheck My Work button is now enabledItem 1\ Time Remaining 3 hours 50 minutes 47...