How to draw 2 random number simultaneously which are smaller than 1 together?
Need to generate two random numbers simultaneously in MATLAB, both less than 1? This resource provides a simple solution. Learn how and start your project now!
Need to generate two random numbers simultaneously in MATLAB, both less than 1? This resource provides a simple solution. Learn how and start your project now!
fill([0 0 1],[0 1 0],'r') axis equal
abc = randfixedsum(3,10,1,0,1); sum(abc,1) ans = 1 1 1 1 1 1 1 1 1 1 a = abc(1,:); b = abc(2,:);
It will always be true that a+b<=1. The variable c=1-a-b will have the same distribution as a and b. And the three variables together will be uniformly distributed.
abc = randfixedsum(3,10000,1,0,1); plot3(abc(1,:),abc(2,:),abc(3,:),'.') grid on box on axis equal
abc = randfixedsum(3,10000000,1,0,1); hist(abc(1,:),1000)
ab = rand(1e6,2); ab(sum(ab,2) > 1,:) = []; size(ab) ans = 500444 2
So we rejected roughly 50% of the samples, as expected
subplot(3,1,1) hist(ab(:,1),1000) subplot(3,1,2) hist(ab(:,2),1000) subplot(3,1,3) hist(1-sum(ab,2),1000)
mean([ab,1-sum(ab,2)],1) ans = 0.33328 0.3334 0.33332 std([ab,1-sum(ab,2)]) ans = 0.23575 0.23549 0.23556
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