Statistics 133  Short Assignment 3
due on bSpace at 11pm Tuesday, Sept. 22
In this assignment you will practice programming in
R
. You should turn in a script file with
a
.R
extension with your name in a comment at the top.
Include comments in your code labeling the parts of your code by problem number. Any
functions should also be preceded by a brief comment describing what each one does.
1. The Strong Law of Large Numbers states that for a sequence of independent and
identically distributed random variables with finite variance, the sample mean will
converge with probability one to the expected value of the distribution as the sample
size goes to infinity. Let’s illustrate what this sequence of means looks like for some
simulated Poisson random variables.
First create a vector
nseq
that contains a sequence of possible sample sizes, from
10 to 1000 in increments of 10. Use
rpois
to simulate 1000 random draws from the
Poisson distribution with
λ
= 10.
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 Fall '08
 Staff
 Statistics, Probability theory, #, λ, sample size vector

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