410Exam2Aans - STAT 410 Fall 2009 Version A Name ANSWERS ....

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STAT 410 Fall 2009 Version A Name ANSWERS . Exam 2 Page Possible Earned 1 10 2 12 3 12 4 10 5 12 6 14 Total 70 Be sure to show all your work; your partial credit might depend on it. Put your final answers at the end of your work, and mark them clearly. If the answer is a function, its support must be included. No credit will be given without supporting work. The exam is closed book and closed notes. You are allowed to use a calculator and one 8½" x 11" sheet with notes on it. ___________________________________________________________________________ Academic Integrity The University statement on your obligation to maintain academic integrity is: If you engage in an act of academic dishonesty, you become liable to severe disciplinary action. Such acts include cheating; falsification or invention of information or citation in an academic endeavor; helping or attempting to help others commit academic infractions; plagiarism; offering bribes, favors, or threats; academic interference; computer related infractions; and failure to comply with research regulations. Rule 33 of the Code of Policies and Regulations Applying to All Students gives complete details of rules governing academic integrity for all students. You are responsible for knowing and abiding by these rules.
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Page 1 of 6 1. Let X 1 , X 2 , … , X n be a random sample from the distribution with probability density function ( 29 ( 29 ( 29 1 1 2 θ θ θ x x x f - + = - 0 < x < 1 θ > 0. a) (4) Find the sufficient statistic Y = u ( X 1 , X 2 , … , X n ) for θ . f ( x 1 , x 2 , x n ; θ ) = f ( x 1 ; θ ) f ( x 2 ; θ ) f ( x n ; θ ) = ( 29 ( 29 = - = - + n i i n i i n x x 1 1 1 2 1 θ θ θ . By Factorization Theorem,
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This note was uploaded on 04/15/2010 for the course STAT 410 taught by Professor Monrad during the Fall '08 term at University of Illinois, Urbana Champaign.

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410Exam2Aans - STAT 410 Fall 2009 Version A Name ANSWERS ....

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