Gauss Markov Theorem In the mode [pic]is such that the following two conditions on the random vector [pic]are met: 1. [pic] 2. [pic] the best (minimum variance) linear (linear functions of the [pic]) unbiased estimator of [pic]is given by least squares estimator; that is‚ [pic]is the best linear unbiased estimator (BLUE) of [pic]. Proof: Let [pic]be any [pic]constant matrix and let [pic]; [pic] is a general linear function of [pic]‚ which we shall take as an estimator of [pic]. We must specify
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Name: _______________________ Team: _______________________ AP Macro Problem Set #2 Unit 2: Measurement of Economic Performance 1. (_____/15) Article Analysis Read each of these current articles and identify three different concepts we learned that are mentioned. Define and summarize what is being said for each concept that you identify. a. GDP Article (_____/5) b. Unemployment Article (_____/5) c. Inflation Article (_____/5) 2. ( ____/15 Points) Gross Domestic Product
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Geometry Definitions‚ Postulates and Theorems Definitions Name Complementary Angles Supplementary Angles Theorem Vertical Angles Transversal Corresponding angles Same-side interior angles Alternate interior angles Congruent triangles Similar triangles Angle bisector Segment bisector Legs of an isosceles triangle Base of an isosceles triangle Equiangular Perpendicular bisector Altitude Definition Two angles whose measures have a sum of 90o Two angles whose measures have a sum of 180o A statement
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Economics 370 Microeconomic Theory Problem Set 6 Answer Key 1) Describe the effects on output and welfare if the government regulates a monopoly so that it may not charge a price above p‚ which lies between the unregulated monopoly price and the optimally regulate price (determined by the intersection of the firm’s marginal cost and the market demand curve). As usual‚ the monopoly determines its optimal output on the basis of MR = MC. Here‚ however‚ it cannot charge a price in excess of p*. So
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Push It to the Limit Many things cross your mind while you’re traveling down the road. But have you ever wondered why do we have speed limits? Or maybe you do and you’re the grandma driver that everyone is stuck behind in a no passing zone. Everyone has their own speeds so why shouldn’t you be able to go how fast or how slow you wanted to go. Should we strike down every sign that the government has put up to regulate the speed limit in the thousands of highways around the country? And should we
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Managerial Finance – Problem Review Set – Capital Structure and Leverage 1) If a firm utilizes debt financing‚ an X% decline in earnings before interest and taxes (EBIT) will result in a decline in earnings per share that is larger than X. a. True b. False 2) Firm A has a higher degree of business risk than Firm B. Firm A can offset this by using less financial leverage. Therefore‚ the variability of both firms ’ expected EBITs could
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Test Version A SEMESTER I EXAMINATIONS Mid-Term Assessment ECON 30110 Microeconomics II Time Allowed: 50 minutes Instructions for Candidates This exam counts for 30% of the Module Grade. All questions carry equal marks. Note there is NO negative marking Correct answer is worth 1 mark. No answer or more than one answer‚ will both receive a 0 mark. Incorrect answer will receive a 0 mark. Attempt all 20 questions. Shade in the box in the appropriate space with
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Vandenberghe January 4‚ 2006 Chapter 2 Convex sets Exercises Exercises Definition of convexity 2.1 Let C ⊆ Rn be a convex set‚ with x1 ‚ . . . ‚ xk ∈ C‚ and let θ1 ‚ . . . ‚ θk ∈ R satisfy θi ≥ 0‚ θ1 + · · · + θk = 1. Show that θ1 x1 + · · · + θk xk ∈ C. (The definition of convexity is that this holds for k = 2; you must show it for arbitrary k.) Hint. Use induction on k. Solution. This is readily shown by induction from the definition of convex set. We illustrate the idea for k = 3‚ leaving the
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Sauder School of Business Finance Division COMM 371 Sep-Dec 2011 Gonzalo Morales Marked Problem Set 2 - Solution Notes 1. First‚ compute the correlation coefficient between assets A and B ρ(RA ‚ RB ) = Cov (RA ‚ RB ) −0.0322 = = −1. σ (RA )σ (RB ) 0.14 × 0.23 The assets are perfectly negatively correlated. Consider portfolio P formed from assets A and B such that you invest α fraction of your wealth into A and (1 − α) fraction into B. The variance of such portfolio is σ (RP
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Group 1 Write a C++ program or each of the following problems: 1. Write a C++ program to enter a distance in meters and print out its value in kilometers‚ yards‚ and miles. (Note: 1 m = 0.001 km = 1.094 yd = 0.0006215 mi). 2. Write a C++ program to enter length and width of a rectangle‚ compute and print the area and perimeter of the rectangle. Print both rounded to the nearest tenth of a foot. 3. Write a program to compute the cost for carpeting a room. Input should consist of the room length
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