Poisson approximation for sums of dependent Bernoulli random variables.

Teerapabolarn, Kanint; Neammanee, Kritsana

Displaying similar documents to “Poisson approximation for sums of dependent Bernoulli random variables.”

Compound Poisson approximation for extremes of moving minima in arrays of independent random variables

Jadwiga Dudkiewicz (1998)

Applicationes Mathematicae

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We present conditions sufficient for the weak convergence to a compound Poisson distribution of the distributions of the kth order statistics for extremes of moving minima in arrays of independent random variables.

Extremes of interarrival times of a Poisson process under conditioning

A. Abay (1995)

Applicationes Mathematicae

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On some Mixture Distributions

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.

On the tail estimation of the norm of Rademacher sums.

Chobanyan, S., Salehi, H. (2001)

Georgian Mathematical Journal

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The asymptotic behavior of solutions to singularly perturbed nonlinear integro-differential equations.

Dauylbaev, M.K. (2000)

Siberian Mathematical Journal

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On the strong convergence for weighted sums of asymptotically almost negatively associated random variables

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.