Poisson approximation for sums of dependent Bernoulli random variables.
Teerapabolarn, Kanint, Neammanee, Kritsana (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Teerapabolarn, Kanint, Neammanee, Kritsana (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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A. Abay (1995)
Applicationes Mathematicae
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Nakhi, Y. Ben, Kalla, S.L. (2004)
Fractional Calculus and Applied Analysis
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The aim of this paper is to establish some mixture distributions that arise in stochastic processes. Some basic functions associated with the probability mass function of the mixture distributions, such as k-th moments, characteristic function and factorial moments are computed. Further we obtain a three-term recurrence relation for each established mixture distribution.
Seleši, Dora (2007)
Novi Sad Journal of Mathematics
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Chobanyan, S., Salehi, H. (2001)
Georgian Mathematical Journal
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Haiwu Huang, Guangming Deng, QingXia Zhang, Yuanying Jiang (2014)
Kybernetika
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Applying the moment inequality of asymptotically almost negatively associated (AANA, in short) random variables which was obtained by Yuan and An (2009), some strong convergence results for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of Zhou et al. (2011), Sung (2011, 2012) to the case of AANA random variables, respectively.
Ulyanov, V.V., Fujikoshi, Y. (2001)
Georgian Mathematical Journal
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Kopylov, A.P. (2000)
Siberian Mathematical Journal
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Ahsanullah, M. (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Nikonorov, Yu.G. (2002)
Sibirskij Matematicheskij Zhurnal
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Marian Jabłoński
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Let be a sequence of measure preserving transformations of a probability space (Ω,Σ,P) into itself and let be a sequence of elements of with . It is shown that the distribution oftends to the normal distribution N(0,1) as n → ∞. 1985 Mathematics Subject Classification: 58F11, 60F05, 28D99.