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The AEP algorithm for the fast computation of the distribution of the sum of dependent random variables
convolution istribution functions
2011/7/5
We propose a new algorithm to compute numerically the distribution function of the sum of $d$ dependent, non-negative random variables with given joint distribution.
On the Regular Variation of Ratios of Jointly Frechet Random Variables
Regular variation multivariate Frechet distribution spectral
2011/3/18
We provide a necessary and sufficient condition for the ratio of two jointly alpha-Frechet random variables to be regularly varying. This condition is based on the spectral representation of the joint...
On the strong law of large numbers for d-dimensional arrays of random variables
large numbers d-dimensional arrays random variables
2009/3/31
In this paper, we provide a necessary and sufficient condition for general d-dimensional arrays of random variables to satisfy strong law of large numbers. Then, we apply the result to obtain some str...