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normally distributed demand data

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bus14
bus14 on 24 Apr 2019
Commented: bus14 on 25 Apr 2019
Hi community,
I would like to make a normal random distribution for a demand set in Matlab with a range from [0 100]. However, I can not come up with a good working good yet. Does anyone have an idea how to do this?
Thankyou,
  2 Comments
Rik
Rik on 24 Apr 2019
A normal distribution has no edges and is continuous. What should happen with the values outside of your range, and is it OK if the values are not integers?
bus14
bus14 on 24 Apr 2019
preferably values should be integers as it concerns ordering of products. It would also be fine if the values be in the 100s. However values of 1000+ I cannot use

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Accepted Answer

Rik
Rik on 24 Apr 2019
You can use the randn function to generate random numbers.
n=300;%number of cases
minval=0;%lowest allowed integer
maxval=1000;%highest allowed integer
mu=50;%median value of distribution
sd=50;%standard deviation of distribution
data=floor(mu+sd*randn(n,1));%round down to integers
invalid= data<minval | data>maxval;
while any(invalid)
%replace invalid values with newly generated values
%this will bias the distribution
data(invalid)=floor(mu+sd*randn(sum(invalid),1));
invalid= data<minval | data>maxval;
end
  3 Comments
Rik
Rik on 25 Apr 2019
Technically if replacement of values is needed it will no longer be a normal distribution. The difference between the actual distribution and a normal distribution will depend on the bounds and on the median and standard deviation of the initial distribution. As long as the bounds are more than 3 SDs away from your median I would still be comfortable calling it a normal distribution, but that conclusion depends on your specific application.
By having bounds, you effectively remove parts of the tails of the distribution. How relevant that is depends on your goal and application. If it is important, ask a statistician for help.

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