In the generalized regression model, suppose that is known. a. What is the covariance matrix of
Question:
In the generalized regression model, suppose that Ω is known.
a. What is the covariance matrix of the OLS and GLS estimators of β?
b. What is the covariance matrix of the OLS residual vector e = y − Xb?
c. What is the covariance matrix of the GLS residual vector ε = y − Xβ?
d. What is the covariance matrix of the OLS and GLS residual vectors?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (6 reviews)
Write b XXand x The covariance matrix is b EX X XX X6 ...View the full answer
Answered By
Sandip Nandnawar
I am a B.E (Information technology) from GECA and also have an M.C.M from The University of RTMNU, MH.
I worked as a software developer (Programmer and TL). Also working as an expert for the last 6 years and deal with complex assessment and projects. I have a team and lead a team of experts and conducted primary and secondary research. I am a senior software engg and senior expert and deal with all types of CSE and IT and other IT-related assessments and projects and homework.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Econometric questions
-
What is the covariance matrix of the three Fama-French factors?
-
In the generalized regression model, if theKcolumns of X are characteristic vectors of , then ordinary least squares and generalized least squares are identical. (The result is actually a bit...
-
A vector random variable, X has a covariance matrix and a correlation matrix given by Find the mean vector, E [X]. 5-1 2 CXX = |-1 5-21 and RXX-11 9-4 1-4 9 2-2 8
-
Accounting The Case: Patient Khaled is a 75-year-old man admitted to the hospital for a small bowel obstruction. His medical history includes hypertension. Khaled is on NPO. He has a nasogastric (NG)...
-
Who would view the stock of Leaning Tower of Pita (see problem 14) as a risk-reducing investment-the owner of a gambling casino or a successful bankruptcy lawyer? Explain. Stock Price Probability .3...
-
What is the purpose of low-stress grinding?
-
Describe which characteristics of HR metrics and workforce analytics are likely to result in greater return on investment and organizational impact.
-
According to the same NCAA data, the means and standard deviations of eligibility and retention rates (based on a 1,000-point scale) for the 2010-2011 academic year follow, along with the scores for...
-
Chris Cornell purchased a rental property on January 1, 2023, for $400,000. Not considering the value of the land, the building's cost is $320,000 (as CCA does not apply to land). The building falls...
-
There is a lottery with n coupons and n people take part in it. Each person picks exactly one coupon. Coupons are numbered consecutively from 1 to n, n being the maximum ticket number. The winner of...
-
a. Prove the result directly using matrix algebra. b. Prove that if X contains a constant term and if the remaining columns are in deviation form (so that the column sum is zero), then the model of...
-
Suppose that y has the pdf f (y | x) = (1/x')ey/('x), y > 0. Then E[y | x] = 'x and Var[y | x] = ('x)2. For this model, prove that GLS and MLE are the same, even though this distribution involves the...
-
The Test of English as a Foreign Language (TOEFL), with scores ranging from 0 to 120, has traditionally been the most commonly used exam of reading comprehension, vocabulary, writing, and grammar for...
-
Virginia Corporation is a calendar-year corporation. At the beginning of 2019, its election to be taxed as an S corporation became effective. Virginia Corp.s balance sheet at the end of 2018...
-
Density of natural boron is \(2.4 \mathrm{~g} / \mathrm{cc}\). Given: \(\sigma_{a}\) of \({ }^{10} \mathrm{~B}=4000 \mathrm{~b}\), and \(\sigma_{a}\) of \({ }^{11} \mathrm{~B}=0 \mathrm{~b}\). If the...
-
The flux in a reactor core shows little variation over a region of energy from 0.4 to \(20 \mathrm{eV}\). Find the average cross-section in this range, if the point cross-sections, given below, show...
-
Tempe Corporation is a calendar-year corporation. At the beginning of 2019, its election to be taxed as an S corporation became effective. Tempe Corp.s balance sheet at the end of 2018 reflected the...
-
Find the potential elastic scattering cross-section of neutron for \({ }^{23} \mathrm{Na}\), given scattering radius \(=5.4 \mathrm{fm}\). If the radius were to be obtained as \(1.2 A^{1 / 3}\), what...
-
Erickson Company sponsors a defined benefit pension plan. The corporations actuary provides the following information about the plan. Instructions (a) Compute the actual return on the plan assets in...
-
Air pollution generated by a steel mill is an example of a) a positive production externality. b) a negative production externality. c) a public good. d) the free-rider problem. State and local taxes...
-
Why would profits ever decline and cause the downturn in a business cycle? How do workers get shorted no matter what stage of the business cycle the economy is in?
-
Suppose that the regression model is yi = + xi + i, where the disturbances i have f (i) = (1/) exp (i), i 0. This model is rather peculiar in that all the disturbances are assumed to be positive....
-
The following sample moments for x = [1, x1, x2, x3] were computed from 100 observations produced using a random number generator:? The true model underlying these data is y = x1 + x2 + x3 + . a....
-
Consider the multiple regression of y on K variablesXand an additional variable z. Prove that under the assumptions A1 through A6 of the classical regression model, the true variance of the least...
-
Superior Micro Products uses the weighted - average method in its process costing system. Data for the Assembly Department for May appear below: Materials Labor Overhead Work in process, May 1 $ 1 9...
-
Vista Distributors purchases inventory in crates of merchandise. Assume the company began July with an inventory of 30 units that cost $300 each. During the month, the company purchased and sold...
-
Blue Company changed depreciation methods in 2025 from double-declining balance to straight-line. Depreciation prior to 2025 under double-declining-balance was 592,400, whereas straight-line...
Study smarter with the SolutionInn App