Prove that in the model y 1 = X 1 1 + 1 , y
Question:
Prove that in the model
y1 = X1β1 + ε1,
y2 = X2β2 + ε2,
generalized least squares is equivalent to equation-by-equation ordinary least squares if X1 = X2. Does your result hold if it is also known that β1 = β2?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
The GLS estimator is The matrix to be inverted equals Therefor...View the full answer
Answered By
ZIPPORAH KISIO LUNGI
I have worked on several other sites for more than five years, and I always handle clients work with due diligence and professionalism. Am versed with adequate experience in the fields mentioned above in which have delivered quality papers in research, thesis, essays, blog articles, and so forth.
I have gained extensive experience in assisting students to acquire top grades in biological, business and IT papers. Notwithstanding that, I have 7+ years of experience in corporate world software design and development.
5.00+
194+ Reviews
341+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
Prove that in the NGARCH-model holds. hoo 1-a(1+y)-B
-
Prove that for any securities X and Y: E(X2)= (E(X))2+VAR( ) If rr,-1, then (X + Y) Ox + . If rxy--I, then (X + Y)-Ox-@y
-
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...
-
ABC Ltd prepares its financial statements to 31 October each year. Its trial balance at 31 October 2019 was as follows: Premises-cost Manufacturing plant-cost Office equipment-cost Accumulated...
-
In Chapter 3 acceleration is defined as a = v/t. Show that the acceleration of a cart on an inclined plane that gains 6.0 m/s every 1.2 s is 5.0 m/s 2 .
-
Consider two falling bodies. Their masses are 3.0 kg and 4.0 kg. At time t = 0, the two are released from rest. What is the velocity of their cm at t = 10.0 s? Ignore air resistance.
-
Consider a bond with a face value of \(\$ 1,000\) and coupon payment at the end of each period \(k\) given by a rate \(c_{k}=\max \left[6 \%-r_{k}, 0 ight]\), where \(r_{k}\) is the short rate for...
-
An accountant made the following adjustments at December 31, the end of the accounting period: a. Prepaid insurance, beginning, $800. Payments for insurance during the period, $2,400. Prepaid...
-
A simple loan with a present value of $5500 will be paid off in 5 years. If the interest rate is 7% what will the future payment be?
-
1. Help Professor Trice formulate a strategy for his company by going through the steps of strategy formulation. For ideas, search the Internet for other companies that provide visualization...
-
The modely 1 = 1 x 1 + 1 ,y 2 = 2 x 2 + 2 satisfies all the assumptions of the classical multivariate regression model. All variables have zero means. The following sample second-moment matrix is...
-
In his analysis of Californias Proposition 103 (see Illustration 4.2), Benjamin Zycher notes that one of the most important provisions of this proposition is eliminating the practice by insurance...
-
The figure below shows an overhead view of an amusement park ride that travels at constant speed through five circular arcs of radii R0, 2R0, and 3R0. Rank the arcs according to the magnitude of the...
-
Which auditing standard requires the auditor to perform procedures to ensure that changes in inventory between a count date and the period end are properly recorded?
-
Please answer in 750 - 1000 words. Digital Payments have become the most preferred mode of instrument for making payments of goods and services. It has also been observed that more than 80% of...
-
Required For each situation, identify the element(s) of the audit risk model (that is, audit risk, inherent risk, control risk, and detection risk) that is (are) most likely to be directly affected...
-
Describe at least 2 changes in a market that might cause changes in regulation.What should the appropriate policy be in each case?
-
Company have accumulated a portfolio currently valued at $875,000. They believe that they can earn an after-tax annual return of 8% on these funds. They would like to retire in 15 years. 1. What will...
-
The two containers of gas in FIGURE Q20.8 are in good thermal contact with each other but well insulated from the environment. They have been in contact for a long time and are in thermal...
-
The Thomas Corporation was organized on Jan. 1, 2020. On Dec. 31, 2021, the corporation lost most of its inventory in a warehouse fire before the year-end count of inventory was to take place. just...
-
Derive the results in (8-20a) and (8-20b) for the measurement error model. Note the hint in footnote 4 in Section 8.5.1 that suggests you use result (A-66) when you need to invert [Q* + uu] = [Q* +...
-
At the end of Section 8.7, it is suggested that the OLS estimator could have a smaller mean squared error than the 2SLS estimator. Using (8-4), the results of Exercise 1, and Theorem 8.1, show that...
-
Consider the linear model y i = + x i + i in which Cov[x i , i ] = = 0. Let z be an exogenous, relevant instrumental variable for this model. Assume, as well, that z is binaryit takes only values...
-
Write summary of 300 words, with references and 2 question regarding the Feminist Work and Community Education Viv Rogers The concept of community education is subject to similar confusions of...
-
Explain scanning the internal and external environment of the organization.
-
ANSWER ALL QUESTIONS 1. Illustrate and explain with examples the risk-return trade off graph of money market, foreign exchange market, bond market, equity market and derivatives market. State and...
Study smarter with the SolutionInn App