Suppose that a random sample X1, , Xn is drawn from the Pareto distribution with parameters x0 and (See Exercise 16 in Sec 5 7 ) a If x0 is known and 0 unknown, find a sufficient statistic b If is known and x0 unknown, find a sufficient statistic

Question: Suppose that a random sample X1, . . . , Xn is drawn from the Pareto distribution with parameters x0 and . (See Exercise 16

Suppose that a random sample X1, . . . , Xn is drawn from the Pareto with parameters x0 and α. (See Exercise 16 in Sec. 5.7.)
a. If x0 is known and α > 0 unknown, find a sufficient statistic.
b. If α is known and x0 unknown, find a sufficient statistic.

Step by Step Solution

★★★★★

3.40 Rating (175 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The likelihood function is for all x i x 0 a If x 0 is known is the parameter and ... 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 (951).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

The Pareto distribution with parameters x0 and (x0 > 0 and > 0) is defined in Exercise 16 of Sec. 5.7. Show that the family of Pareto distributions is a conjugate family of prior distributions for...

A random sample X1,..., Xn is drawn from a population with pdf Find a consistent estimator of Î¸ and show that it is consistent. -1

Suppose that a random sample of 10,000 (X, Y) pairs yielded a sample correlation coefficient of r = 0.02. (a) What is the conclusion that you would reach if you tested H0:p = 0 using a 0.05? What is...

Consider again the conditions of Exercise 15, but suppose now that both parameters x0 and are unknown. Determine the M.L.E.s of x0 and . In Exercise 15 Suppose that X1, . . . , Xn form a random...

Suppose that X1, . . . , Xn form a random sample from the Pareto distribution with parameters x0 and (see Exercise 16 of Sec. 5.7), where x0 is unknown and is known. Determine the M.L.E. of x0.

Stat-3503/Stat-8109 Airoldi/Fall-21 problem set no. 1 due monday 10/25 before lecture starts learning objectives. compute likelihoods, both for a generic sample, i.e., (x1, ..., xn), and for a...

Instuctor's Annotated Edition TENTH EDITION Understandable Statistics Concepts and Methods Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College Australia Brazil...

Set Student Name: 1. Answer true or false for each part, and if false, explain your answer. a. The point estimate for the population mean, , of an x distribution is x-bar, computed from a random...

A comparative study is performed; you are given the following information. ? The total number of subjects equals 29. ? The observed value of the test statistic is greater than 0. I used the website...

1.The makers of an exercise device advertise that using their machine a few minutes per day results in an average weight loss of 4 kilograms during the first month. A consumer group believes the...

List the capabilities of institutional DSS and ad hoc DSS.

Job 19AB required $10,000 for direct materials, $4,000 for direct labor, 300 direct labor hours, 150 machine hours, three material moves, and five component parts. The cost pools and overhead rates...

The promised yield assumes that bond prices have not changed since the date of issue. The promised yield assumes no default risk. The promised yield assumes the bond is trading at par. The promised...

. Slimline and Distributor signed a contract providing that Distributor would use reasonable efforts to promote and sell Slimlines diet drink. Slimline was already being sold in Warehouse Club. After...

a. Find the probability that z is greater than - .75. b. Find the probability that z is less than 1.35.

Find the probability that z lies between z = - 1.48 and z = 1.48.

Refer to Exercise 6.83. For ease of calculation, round the number of standard deviations for C grades to .5 standard deviations, and for B and D grades to 1.5 standard deviations. Suppose that the...

Dividend Yield. BMM Industries pays a dividend of $2 per quarter. The dividend yield on its stock is reported at 4.8%. What price is the stock selling at? ( LO7-1 )

Last year Carson Industries issued a 1 0 - year, 1 4 % semiannual coupon bond at its par value of $ 1 , 0 0 0 . Currently, the bond can be called in 6 years at a price of $ 1 , 0 7 0 and it sells for...

You are making forecasts for two securities that promise perpetual, growing annual cash flows. For both securities , calculate the cash flow you can expect at the end of year 7 ( that is , seven...