Test_1_2005 - where " > 0 and $ > 0. B. Use...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Department of Economics Professor Dale J. Poirier University of California, Irvine October 25, 2005 MIDTERM EXAM ECON 220A Statistics and Econometrics I (open book) Directions : You must answer each of the following questions. Points (out of 100) are allocated as noted to the left of each question. Allocate your time according to these points. To receive any partial credit, you must show your work. Results from the text need not be reproduced in detail - you can merely cite the source. Possibly useful hints in random order: A. From the definition of the integrating constant for a gamma density, we know
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: where " > 0 and $ > 0. B. Use change-of-variables. C. P(D) = 1 - P(D c ) D. Use iterated expectations. 2 (25) 1. Let A and B be two events in a sample space S. Prove P(A 1 B) $ 1 - P(A c ) - P(B c ). (25) 2. Let X and Y have joint density Find Cov(X, Y). 3. Let X and Y be two random variables such that X * Y = y -B(T, y) (i.e., Binomial) and Y -$ ( " , * ) (i.e., Beta). (10) (a) Find E(X). (15) (b) Find Var(X). (25) 4. Consider Example 2.4.2 on pp. 48-50 of the text. Consider the random variable Z = E(Y 1 * Y 2 ). Find its density function....
View Full Document

This note was uploaded on 12/12/2010 for the course ECON ECON 220A taught by Professor Dalej.poirier during the Fall '10 term at UC Irvine.

Page1 / 2

Test_1_2005 - where " > 0 and $ > 0. B. Use...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online