Generate random numbers with specific mean

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I want to generate matrix 4*4 of random integer values from 0 to 255, i used randi([0 255],4) but i want to generate it with specific mean for example 200 so i used:
z = randi([0 255],4)
z = z + (200 - mean2(z))
that did fix mean value but it could change min and max value of integers, How can i fix it ??!
  2 个评论
the cyclist
the cyclist 2023-5-8
编辑:the cyclist 2023-5-8
There are an infinite number of ways to generate random integers that have the following properties:
  • max = 255
  • min = 0
  • mean = 200
For example,
N = 1000000;
p = 200/255;
x = 255 * (rand(N,1) < p);
mean(x) % Will be equal to 200, within sampling error
ans = 200.2543
figure
histogram(x)
This distribution obeys the rules you have told us. And, as I said, there are infinite others. You need more specificity on the distribution.
Amr Ayman
Amr Ayman 2023-5-8
you're right, I should have been more specific about what i wanted but I couldn't explain what I needed more than that

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Matt J
Matt J 2023-5-8
编辑:Matt J 2023-5-8
You can use this FEX download
m=4;n=4; targetMean=200;
z = randfixedsum(m*n,1,targetMean*m*n,0,255);
z=reshape(z,m,n);
mean(z(:))
ans =
200.0000
  7 个评论
Matt J
Matt J 2023-5-9
编辑:Matt J 2023-5-9
There is a difference between
  • flip 10 coins, and on average get 5 tails
  • flip 10 coins, and always get 5 tails
There can be a difference, but note that the second always implies the first.
And yeah it generates real values not integer so i added floor after reshaping "which will make value of mean slightly change around 200 not to be always 200 :)) "
In fact, if you apply round() instead of floor(), I would expect the statistical average to remain at 200, even if the nonstatistical average mean(z(:)) does not remain perfectly at 200.

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