Mathematical Statistics HW#3-992

Mathematical Statistics HW#3-992 - Mathematical...

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Mathematical Statistics-992 Homework #3 Due 3/31/2011 1. From textbook: Sec. 3.2 5, 13 Sec. 3.4 24, 32, 33, 41 Sec. 3.5 44, 45, 56, 57, 68 Sec. 3.7 76, 81 2. Let the distribution of random variable ߆ is ݂ሺߠሻ ൌ 1, 0 ൑ ߠ ൑ 1 . Given a value θ , the random variable X follows the distribution ݂ ௑|ఏ ሺݔ|ߠሻൌ൫ ൯ߠ ሺ1െߠሻ ௡ି௫ , ݔ ൌ 0,1, ڮ , ݊ . Find the conditional distribution of ߆ , given ܺൌݔ . (In Bayesian inference terminology, this is called the posterior distribution.) 3. Let X be uniformly distributed on the interval ሺ0,1ሻ , and let the conditional distribution of Y given Xൌx be uniformly on the interval ሺെx, xሻ
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This note was uploaded on 05/09/2011 for the course DIF 1486 taught by Professor Yow-jenjou during the Spring '11 term at National Chiao Tung University.

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