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

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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

Answers (1)

Walter Roberson
Walter Roberson on 21 Jun 2012
You could try adapting 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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