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Abstract:
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Let us consider the composed random variable = P
k=1 k, where 1, 2, ...
are independent identically distributed random variables and is a positive value random,
independent of all k.
In [1] and [2], we gave some the stabilities of the distribution function of in the following
sense: the small changes in the distribution function of k only lead to the small changes in
the distribution function of .
In the paper, we investigate the distribution function of when we have the small changes of
the distribution of . |