Merge pull request #3 from park1119/master

Added chapter 6

ch06.R

@@ -0,0 +1,21 @@
+#############
+# Chapter 6.3 (Law of Large Numbers)
+
+## Weak law of large numbers
+
+# R code to illustrate the weak law of large numbers
+
+library(pracma)
+
+p <- 0.5
+Nset <- as.integer(round(logspace(2,5,100)))
+x <- matrix(rep(0, 1000*length(Nset)), nrow=1000)
+for (i in 1:length(Nset)) {
+  N = Nset[i]
+  x[,i] <- rbinom(1000, N, p) / N
+}
+Nset_grid <- repmat(Nset, m=1, n=1000)
+
+semilogx(Nset_grid, x, col='black', pch=19)
+points(Nset, p + 3*(((p*(1-p))/Nset)^(1/2)), col='red', pch=19, lwd=1)
+points(Nset, p - 3*(((p*(1-p))/Nset)^(1/2)), col='red', pch=19, lwd=1)