Math 193a, HANDOUT FOR HOMEWORK Some Answers and Solutions
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39. This exercise is a generalization of Exercise 38. Let u be a utility function, a r.v. X1 has the original distribution, and X2 has the transformed distribution. Then E{u(X1)} = ∑k u(xk)pk. The corresponding representation E{u(X2)} is the same except the terms with k = i−1, i, and i+1. Consequently, the difference E{u(X1)}−E{u(X2)}=−∆u(xi−1)+2∆u(xi)−∆u(xi+1) = 2∆ [ u(xi)− 1 2 (u(xi−1)+u(xi+1)) ] .
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Outlines of Solutions to Selected Homework Problems
This handout contains solutions and hints to solutions for many of the STA 6505 homework exercises from Categorical Data Analysis, second edition, by Alan Agresti (John Wiley, & Sons, 2002). It should not be distributed elsewhere without permission of the author. Additional solutions for odd-numbered exercises are available at the website for the text, http://www.stat.ufl.edu/∼aa/cda/cda.html. ...
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