Graphics from Oct. 26, 2011 Lecture  for Math 3070 - 1

Simulating the Sampling Distribution of a Statistic.

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> hist(replicate(1000, mean(rexp(10))), freq=F)
>


  Simulation of sampling distribution of the mean of a sample of size n=10 taken from an Exp(λ=1) population.

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> runif(2)
[1] 0.3247048 0.4123641
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> min(runif(2))
[1] 0.3690774
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> replicate(5,min(runif(2)))
[1] 0.70570427 0.05622334 0.49966220 0.48379136 0.40738538
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> hist( replicate( 10000, min( runif(2) ) ), freq=F)
>
> curve( 2-2*x, xlim=c(0,1), col=2, lwd=5, add=T)
>


  Simulation of sampling distribution of min(X,Y) where the variables are I. I. D. taken from X, Y ~ Unif(0,1) population.

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