Generate samples from a normal distribution
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Hello,
I have a Gaussian mixture distribution which looks as attached. I now want to sample and generate 1000 samples from this and plot their histogram. I tried using randi function but it does not work. Please let me know how to do this.
y = randi(my_pdf,100); %%my_pdf is my distribution
Thanks!
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Answers (3)
Image Analyst
on 25 Nov 2016
If you have that function already, then use inverse transform sampling: https://en.wikipedia.org/wiki/Inverse_transform_sampling. In short, compute the CDF of your function and use rand() to pick a value.
I attach an example of how I used it for the Rayleigh distribution.
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CarrotCakeIsYum
on 25 Nov 2016
randi will generate rando integers.
To generate a random sample from a vector, use randsample. see:
help randsample
I'd imagine you'd want:
y = randsample(my_pdf,100);
To plot a histogram use the 'hist' command.
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CarrotCakeIsYum
on 25 Nov 2016
Sorry I don't follow... your population will only have one mean!
For the JPEG you've posted, the mean will be at 7.5 (since it is a symmetrical distribution).
Image Analyst
on 25 Nov 2016
Maybe use randn() to get a list of a few million numbers taken from those 13 distributions (call randn thirteen times), then pick one of the values at random.
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