normally distributed demand data
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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,
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Rik
2019년 4월 24일
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?
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Rik
2019년 4월 24일
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
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Rik
2019년 4월 25일
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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