How to generate rayleigh random variables with specified mean value having minimum value?

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.

Answer 1

[the cyclist]

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.

[Jaydeep Kansara]

Thanks for the reply.

What can i do for the log-normal distribution?

My mean is 58, COV is 0.19.minimum value of random number required is 40.

What should I do?

[the cyclist]

Use the lognrnd function.

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.