Let {Y, Y2,..., Yn} be an identically distributed sample selected from a population via simple random...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Let {Y, Y2,..., Yn} be an identically distributed sample selected from a population via simple random sampling without replacement (SRSWOR), where E[Y;] = and V[Y] = o. Show that Cov(Yi, Yj) = -0 N - 1 Hint: Cov(Y, Yj) = E[(Y )(Yj )] = E[Y;Y] . Let U, U2, ..., UN be the values from the population. First, show that 2 N N 1 Cov(Yi, Y) = [U; ( ) U - v ( + ) ( ) - (u.) . Uj (v1) U N N i#j N 1 U Uj 1 2 - + [2 (5-4-) - + (20) ] [Ui N N 1 N Now, show how you can get from above to: Cov(Yi, Yj) = 2 N N (8) - $ * - + (2x)]) | Ui U? N 2 Ui N N - 1 i=1 Let {Y, Y2,..., Yn} be an identically distributed sample selected from a population via simple random sampling without replacement (SRSWOR), where E[Y;] = and V[Y] = o. Show that Cov(Yi, Yj) = -0 N - 1 Hint: Cov(Y, Yj) = E[(Y )(Yj )] = E[Y;Y] . Let U, U2, ..., UN be the values from the population. First, show that 2 N N 1 Cov(Yi, Y) = [U; ( ) U - v ( + ) ( ) - (u.) . Uj (v1) U N N i#j N 1 U Uj 1 2 - + [2 (5-4-) - + (20) ] [Ui N N 1 N Now, show how you can get from above to: Cov(Yi, Yj) = 2 N N (8) - $ * - + (2x)]) | Ui U? N 2 Ui N N - 1 i=1
Expert Answer:
Answer rating: 100% (QA)
To show that CovYi Y 2N1 we can follow these steps 1 Start with the given equation CovYi Y EYi Y 2 E... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
A certain city has 80 blocks. We select a sample of 4 blocks using simple random sampling without replacement. From each block 5 households were drawn randomly without replacement. The number of...
-
A random sample is to be selected from a population that has a proportion of successes p = .65. Determine the mean and standard deviation of the sampling distribution of p^ for each of the following...
-
Comparing two domain means in a cluster sample. In Exercise 24 of Chapter 4, you showed that in an SRS where y1 and y2 estimate respective population domain means yU1 and yU2, V(y1 y2) V(y1)+V(y2)...
-
What are the values of the engineering economy symbols P, F, A, i, and n in the following functions? Use a question mark for the symbol that is to be determined. (a) NPER (8%, 1500,8000,2000) (b) FV...
-
George McCoy of Florida has been manufacturing and distributing a cheesecake for more than five years, labeling his product with a picture of a cheesecake, which serves as a background for a Florida...
-
BRT Ltd's financial statements show the following figures: Sales revenue $240.29 million Net Income $65.53 million Total Assets $204 million Return on equity 12.24% Cash dividend paid $38.15 million...
-
Search the Internet to identify market segments other than HB-LED that use die attach adhesives. Identify the different products in those market segments.
-
A firm wants to select one new research and development project. The following table summarizes six possibilities. Considering expected return and risk, which projects are good candidates? The firm...
-
Attending Ms. Davina Jaid in relation to a road traffic accident on 12 March 2022 in which she was involved. Her full name is Davina Jaid and her date of birth is 14 May 2000. Ms Jaid suffered...
-
You are the contracting officer for a CPFF service contract for routine and emergency maintenance of testing equipment in the amount of $1,200,000. The contractor is not required to provide any...
-
$1,000, 12%, 3-year bond issued 12/31/21. Interest paid on 12/31 each year. Bond sold to yield 10%. Bond issue costs: $90. Required: 1. 2. 3. 4. 5. Compute the sale price of the bond. 12/31/21...
-
A relatively new organizational form available in most states that provides all of the owners with limited liability. a. articles of incorporation b. corporation c. duty of care d. duty of loyalty e....
-
An activity in which individuals become partners for only a short period of time, or for only a single project. a. articles of incorporation b. corporation c. duty of care d. duty of loyalty e....
-
Grunewald Industries sells on terms of 2/10, net 40. Gross sales last year were $4,562,500 and accounts receivable averaged $437,500. Half of Grunewalds customers paid on the 10th day and took...
-
A legal and ethical obligation placed upon a director to act diligently and prudently in conducting the affairs of the corporation. a. articles of incorporation b. corporation c. duty of care d. duty...
-
Dale, an assistant scoutmaster for the Boy Scouts, lost his position when the organization learned that he was gay. Dale contended that he was the victim of discrimination while the Boy Scouts argued...
-
As the owner of a concession booth in a major airport, you decide to purchase insurance that will pay $2 million in the event the airport terminal is destroyed by terrorists. Suppose the likelihood...
-
Time Solutions, Inc. is an employment services firm that places both temporary and permanent workers with a variety of clients. Temporary placements account for 70% of Time Solutions' revenue;...
-
To study nutrient content of menus in boarding homes for the elderly in Washington State, Goren et al. (1993) mailed surveys to all 184 licensed homes in Washington State, directed to the...
-
An accounting firm is interested in estimating the error rate in a compliance audit it is conducting. The population contains 828 claims, and the firm audits an SRS of 85 of those claims. In each of...
-
The file syc.dat, used in Example 7.7 contains other information from the 1987 Survey ofYouth in Custody. Draw a histogram, using the weights, for the age of the youth at first arrest. What is the...
-
Reconsider the regression models in Problem 12.6, parts a-e. Suppose the error terms in these models were multiplicative, not additive. Rework the problem under this new assumption regarding the...
-
Sketch the expectation function for the logistic growth model (12.34) for \(\theta_{1}=1, \theta_{3}=1\), and values of \(\theta_{2}=1,4,8\), respectively. Overlay these plots on the same \(x-y\)...
-
For the models shown below, determine whether it is a linear model, an intrinsically linear model, or a nonlinear model. If the model is intrinsically linear, show how it can be linearized by a...
Study smarter with the SolutionInn App