How to generate rayleigh random variables with specified mean value having minimum value?
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Jaydeep Kansara
il 22 Nov 2019
Commentato: the cyclist
il 22 Nov 2019
I want to generate Rayleigh random variables having specified mean value. I want the random numbers with specified minimum value as well. How can I do that? please help.
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the cyclist
il 22 Nov 2019
If you have the Statistics and Machine Learning Toolbox, then you can generate n Rayleigh-distributed random numbers using the raylrnd function:
r = raylrnd(b,n,1);
Choose the parameter b to be equal to the mean you want times sqrt(2/pi).
The Rayleigh distribution has a minimum of zero, so if you want a non-zero minimum, you have criteria that cannot be met simultaneously: Rayleigh-distributed, and non-zero minimum. You'll have to give up one of those.
One possibility would be to add a constant K to your randomly chosen values (and subtract K from the mean value you generate). Then your distribution would have the shape of a Rayleigh distribution, offset by that constant.
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the cyclist
il 22 Nov 2019
The relationship between the distribution parameters, and the mean and variance, is a bit more complex. Take a look at "descriptive statistics" section of this documentation page.
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