Additive properties of random sequences of positive integers
Paul Erdös, A Rényi (1960)
Acta Arithmetica
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Displaying similar documents to “On Cantor's products”
Additive properties of random sequences of positive integers
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Marcel Neuts, Jian-Min Li, Charles Pearce (1999)
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In a recent paper, Neuts, Rauschenberg and Li [10] examined, by computer experimentation, four different procedures to randomly partition the interval [0,1] into m intervals. The present paper presents some new theoretical results on one of the partitioning schemes. That scheme is called Random Interval (RI); it starts with a first random point in [0,1] and places the kth point at random in a subinterval randomly picked from the current k subintervals (1
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Sums of a Random Number of Random Variables and their Approximations with ν- Accompanying Infinitely Divisible Laws
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* Research supported by NATO GRANT CRG 900 798 and by Humboldt Award for U.S. Scientists. In this paper a general theory of a random number of random variables is constructed. A description of all random variables ν admitting an analog of the Gaussian distribution under ν-summation, that is, the summation of a random number ν of random terms, is given. The v-infinitely divisible distributions are described for these ν-summations and finite estimates of the approximation of ν-sum...