MATLAB: Get discrete pdf/pmf from a kernel distribution pdf on an interval

Question

I fit a kernel distribution on some data. Now I want to sample with replacement that same Fitted kernel distribution, on a specific interval, that may be much narrower or broader than the original data I used to fit the kernel.

I can already get the kernel distribution:

X1 = 10 + 5 * randn(200, 1);
myFit1 = fitdist(X1, 'kernel')

and generate some randomly sampled data from it:

numbers = random(myFit, 500, 1);

But how do I specify to sample from a certain range. I don't want to threshold and truncate the numbers after the fact. This might result in different numbers of sampled elements which will cause errors in later applications such as KL divergence.

Answer 1

myFitTrunc = truncate(myFit1,4,12)  % 4, 12 are example lower,upper truncation bounds
Y = random(myFitTrunc,500,1)
histogram(Y)