File:Central theorem 2.svg
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Original file (SVG file, nominally 409 × 328 pixels, file size: 49 KB)
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Summary
| Description |
English: Histogram of 10,000 times of Monte Carlo simulation. In each simulation, sum of 1,000 samples are recorded. For each sample, one of {1, 2, 3} is randomly chosen. |
| Date | |
| Source | Own work |
| Author | Chen-Pan Liao |
R code
set.seed(1)
sum.123 <- function (N) return(sum(sample(rep(1L:3L, N))[1:N]))
x <- rep(0.0, 10000)
for (i in 1L:length(m)) x[i] <- sum.123(1000)
h <- hist(
x,
xlab=paste0("Sample sum"),
ylab="Frequency",
main="Histogram of 10,000 times simulations",
xlim=c(1900,2100), freq = T,
breaks=seq(1900,2100,2),
col=gray(0.9),
cex = 2
)
xfit <- seq(min(x),max(x),length=40)
yfit <- dnorm(xfit,mean=mean(x),sd=sd(x))
yfit <- yfit*diff(h$mids[1:2])*length(x)
lines(xfit, yfit, col="red", lwd=1)
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 21:27, 14 November 2014 | | 409 × 328 (49 KB) | Chen-Pan Liao | User created page with UploadWizard |
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