## transforming the distribution of variables

on 4 Apr 2012

### Oleg Komarov (view profile)

Hello,

Would anybody know if there is a function in matlab to transform a continuous random variable x to a uniform distribution by using a cumulative distribution function (cdf) transformation?

http://en.wikipedia.org/wiki/Probability_integral_transform

Thank you

John

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### Oleg Komarov (view profile)

on 4 Apr 2012

You can call cdf specifying the type of distribution or you can call directly the specific distribution function. For a list of supported cdfs: cumulative distributions.

An example:

x = randn(1000,1);
y = normcdf(x,0,1);
hist(y,100)

John

### John (view profile)

on 4 Apr 2012

Hello Oleg,
So as I understand this, using the cdf function returns the cumulative distribution of the data of a specified distribution.

Would you know how I could use the cdf to then transform the continuous random variable to a uniform distribution?

Apologies if this sounds like a silly question, I only have basic statistics?

Thank you

John

Oleg Komarov

### Oleg Komarov (view profile)

on 4 Apr 2012

The Cumulative Distribution Function (CDF) maps some values into [0,1], i.e. uniform distribution on [0,1].

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