Homework 4_1

Homework 4_1 - STATISTICAL REVIEW Question 1: Homework Set...

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STATISTICAL REVIEW Homework Set 4_1 EMSE 171/271 - FALL 2005 J.R. van Dorp; ; Page 1 dorpjr@gwu.edu Question 1: Let denote the proportion of allotted time that a randomly selected student \ spends working on a certain aptitude test. Suppose the pdf of is \ 0ÐBl Ñ œ Ð "ÑB !ŸBŸ" ! ) ) œ ) otherwise where . A random sample of ten students yields the data ) " B œ !Þ*#ß B œ !Þ(* B œ !Þ*! B œ !Þ'& B œ !Þ)'ß " #$%& , , , B œ !Þ%(ß B œ !Þ($ß B œ !Þ*(ß B œ !Þ*%ß B œ !Þ((Þ ' ( )*" ! a. Use the method of moments to obtain an estimate of and then compute the ) estimate for this data. b. Obtain the maximum likelihood estimator of , and then compute the estimate
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Homework 4_1 - STATISTICAL REVIEW Question 1: Homework Set...

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