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
On the central limit theorem for random variables related to the continued fraction expansion
C. Faivre (1996)
Colloquium Mathematicae
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Note on successive cumulative sums of independent random variables
Antonín Špaček (1949)
Časopis pro pěstování matematiky a fysiky
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On an interval-partitioning scheme
Marcel Neuts, Jian-Min Li, Charles Pearce (1999)
Applicationes Mathematicae
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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
Comparisons between tail probabilities of sums of independent symmetric random variables
Alexander R. Pruss (1997)
Annales de l'I.H.P. Probabilités et statistiques
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The limiting distributions of sums of arbitrary independent and equally distributed r-point random variables
M. Fisz (1953)
Studia Mathematica
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Sums of a Random Number of Random Variables and their Approximations with ν- Accompanying Infinitely Divisible Laws
Klebanov, Lev, Rachev, Svetlozar (1996)
Serdica Mathematical Journal
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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...