MATLAB: Random exponential cdf numbers

cdfcumulativedistributionexponentialrandom numbers

How could I generate random results from an exponential cumulative distribution function?

Thanks, in advance!

Best Answer

mu = 2 % mean of distribution
x = -mu*log(1-rand(1,10));  % ten numbers

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MATLAB: CDF of exponential power distribution

Matlab's gammainc normalizes the incomplete gamma function by dividing by gamma(1/beta).  See its documentation.  The Wikipedia formula you are using assumes the incomplete gamma function is not normalized in this manner and divides by gamma(1/beta) in the formula.  Thus, in your code you have effectively divided by gamma(1/beta) twice.  That would certainly throw off your computations.

Roger Stafford

MATLAB: Computing CDF???

If you're using release R2014b or later (for histcounts and histogram) or release R2015b or later (for histcounts2 and histogram2) you can specify the 'Normalization' argument with value 'cdf' to display the CDF of the data that you binned using the appropriate function.

Note that this doesn't find parameters for a particular distribution that were determined by fitting the distribution to your data. If you want to do that, take a look at some of the functions on this page in the documentation for Statistics and Machine Learning Toolbox, specifically those whose names end in "fit".

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MATLAB: CDF of exponential power distribution

MATLAB: Computing CDF???

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