How to generate a certain number of random numbers from a gamma distribution that sum to a specific number

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Hello,
Would anybody know how to generate a specific number of random numbers from a Gamma Distribution that sum to a particular value?
I have (1) the total distance that one travels in a day and (2) the number of journey that they make.
For example:
Total Distance = 40 miles No. Journeys = 3
I'm trying to generate 3 random numbers from a Gamma distribution that sum to 40.
Appreciate any help with this
Thank you
JOhn

Answers (1)

Walter Roberson
Walter Roberson on 21 Jun 2012
You could try adapting http://www.mathworks.com/matlabcentral/fileexchange/9700 but the infinite tail might give some problems.
The result might not have the same gamma distribution as you started with.

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