Rejection sampling on uniform distribution?

Technical Source
1 min readJul 15, 2022

How can I use matlab to perform rejection sampling on a uniform distribution using rand, to pick 20% of samples in the range 0 to 0.2 and the other 80% between 0.2 and 1?

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Try this:

numPoints = 1000  % Total number of points to save.
numLow = 1;
numHigh = 1;
% Start collecting elements using acceptance if in range,
% and rejection if out of range.
for k = 1 : 10000000 % enough to make sure we will collect at least numPoints elements.
r = rand();
% Save the number if it's in the low range.
if r <= 0.2 && numLow <= 0.20 * numPoints
% In range. Store/save the number.
lowKeepers(numLow) = r;
numLow = numLow + 1;
else
% Not in range so reject/ignore it.

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Technical Source

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