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MATLAB provides five functions for each distribution: • Probability density function (pdf). • Cumulative distribution function (cdf).MATLAB is used in a wide range of scientific fields Probability density function : λ e−λx Step2: Compare the empirical and the theoretical. I have a vector with 200.000 simulated values. I want to plot an empirical probability density function using this vector, but i have no idea how to do it. An empirical cumulative distribution function ( ecdf ) estimates the cdf of a random variable by assigning equal probability to each observation in a sample. PDFPLOT displays a histogram of the empirical probability density function (PDF) for the data in the input array X using nbins number of bins.