how to write the randn' s code with just using rand and CLT

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alireza kooshafar
alireza kooshafar 2016-2-19
回答： jgg 2016-2-19
I wrote this code but I didn't get the correct answer from it. i don't know where the problem is. thank for help
clc
clear all
m = input( 'please enter the number of LINES:');
n = input( 'please enter the number of ROWS:');
y = zeros(m,n);
G = zeros(m,n);
x = rand(m,n);
y= 0.2*x+32;
s(1)=y(1);
s(m*n)=sum(sum(y));
for i= 3: m*n
s(i-1)= s(i-2) + y(i-1);
end
G = zeros(m,n);
for i= 1:m*n
G(i) = s(i)/(i) ;
end
disp(G)
hist(G)
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alireza kooshafar
alireza kooshafar 2016-2-19
@Walter Roberson
Central Limit Theorem
@jgg
thanks yes you are right about the fault but I have no idea about using Cumulative distribution function here
and I am just going to write randn's code by using rand and the way is not importent

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采纳的回答

jgg
jgg 2016-2-19
Since you don't actually want to use the CLT, then inverse sampling is your solution.
notrandn = @(n,m)(norminv(rand(n,m),0,1));
out = notrandn(10000,1);
out2 = randn(10000,1);
ecdf(out)
hold on
ecdf(out2)

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