Question: Prove that under the hypothesis that R = q, the estimator where J is the number of restrictions, is unbiased for 2 . (

Prove that under the hypothesis that Rβ = q, the estimator

( , ( b,) +J

where J is the number of restrictions, is unbiased for σ2.

( , ( b,) +J

Step by Step Solution

★★★★★

3.31 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

First use 528 to write e e ee Rb qRXX 1 R 1 Rb q Now the result that E ee n K 2 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Econometric Analysis Questions!

Q:

The following data were generated by the Weibull distribution of Exercise 4: a. Obtain the maximum likelihood estimates of and , and estimate the asymptotic covariance matrix for the estimates. b....

Q:

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...

Q:

An alternative way to test the hypothesis R ?? q = 0 is to use a Wald test of the hypothesis that ?? = 0, where ?? is defined in (5-23). Prove that the fraction in brackets is the ratio of two...

Q:

Prove that under the hypothesis that R = q, the estimator where J is the number of restrictions, is unbiased for 2. (y-Xb.)(y-Xb) n-K+J

Q:

Let cons denote consumption and inc denote income. Which of the following model meets assumption MLR.3? a. cons = ?0 + ?1inc + ?2(inc/1,000) + u b. log(cons) = ?0 + ?1log(inc) + ?2log(inc2) + u c....

Q:

Let cons denote consumption and inc denote income. Which of the following model meets assumption MLR.3? a. cons = ?0 + ?1inc + ?2(inc/1,000) + u b. log(cons) = ?0 + ?1log(inc) + ?2log(inc2) + u c....

Q:

Let cons denote consumption and inc denote income. Which of the following model meets assumption MLR.3? a. cons = ?0 + ?1inc + ?2(inc/1,000) + u b. log(cons) = ?0 + ?1log(inc) + ?2log(inc2) + u c....

Q:

\fsh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m Math 280 Strategies of Proof Fall 2007 Class Notes 3.6 Proving Conditional Statements II: Indirect Proofs In Section 3.4, we studied...

Q:

Question Three: (6 marks) (This question practices your ability to undertake and understand theory.) Consider the classical n-observation, K-regressor linear regression model: y = X + u ; u~N(0,In)...

Q:

CS 70 Discrete Mathematics and Probability Theory Fall 2015 Jean Walrand HW 13 1. Statistical hypothesis testing On one of the Mythbusters episodes1 , the Mythbusters decided to run an experiment to...

Q:

Patti's Pizza Pub, Inc., purchased a used automobile for pizza deliveries from Commercial Auto, Inc. on March 1, 2019. The purchase price was $11,000 but Commercial Auto Inc. offered free financing...

Q:

1) What is the level of political corruption? 2) What are the characteristics of this market that would make it attractive and/or unattractive to a US firm? 3) How developed is the legal system? Is...

Q:

Obligasi Smart Enterprises saat ini dijual dengan harga $1,029.27. Obligasi ini memiliki tingkat kupon 6%, nilai nominal $1,000, dan membayar bunga setiap tahun. Jangka waktu obligasi adalah 20...

Q:

5. Following conditioning, the metronome is a(n) stimulus, and the salivation elicited by the metronome is a(n) response.

Q:

Suppose that the model of (13-2) is formulated with an overall constant term and n 1 dummy variables (dropping, say, the last one). Investigate the effect that this supposition has on the set of...

Q:

Use the data in Section 13.9.7 (the Grunfeld data) to fit the random and fixed effect models. There are five firms and 20 years of data for each. Use the F, LM, and/or Hausman statistics to determine...

Q:

Derive the log-likelihood function for the model in (13-18), assuming that it and ui are normally distributed.

Q:

Ragan, Inc., was founded nine years ago by brother and sister John and Mary Ragan. The company manufactures and installs commercial heating, ventilation, and cooling (HVAC) units. Ragan, Inc., has...

Q:

Light emitting diode (LED) light bulbs have become required in recent years, but do they make financial sense? Suppose a typical 60-watt incandescent light bulb costs $.35 and lasts for 1,000 hours....

Q:

Your firm is contemplating the purchase of a new $766,500 computer-based order entry system. A proposed cost-saving device has an installed cost of $658,000. MACRS TABLE: