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Unformatted text preview: Stat 135, Fall 2006 A. Adhikari HOMEWORK 5 (due Friday 10/6) 1. 8.20. Use R to do this one accurately. Be careful about constants when you’re working out the distribution of ˆ σ 2 . 2. 8.26. Is your estimate a method of moments estimate? Is it a maximum likelihood estimate? 3. 8.30. 4. 8.32. You don’t have to do all six intervals in parts (b) and (c); just do the 90% intervals. If I’m feeling kind I’ll type the data in for you; check the homework page on the web. 5. 8.48. This uses the δ-method we discussed a couple of weeks ago. 6. There’s nothing to turn in for this one, but I won’t help you with figuring out how to get R to do things if the methods are easily found by doing this exercise, or by using commands from old homeworks, or by methods outlined on our pages of tips. Browse An Introduction to R and the R reference card. Experiment with some of the commands. Also learn to use help.search . For example, if you want to know whether R has a command that computes the gamma function (that’s Γ( α ) for positive α ), do: > help.search(“gamma”) In the left column you’ll see a list of related commands, and, in parentheses, the packages in which they reside. The descriptions are in the right column. Clearly the one you want is Special Functions of Mathematics . So use the left column of that line as follows: > help(Special, package=base) You should get a useful help page....
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- Spring '12
- Normal Distribution, Maximum likelihood, A. Adhikari, midterm scores