Records and concomitants.

Ahsanullah, M.

Displaying similar documents to “Records and concomitants.”

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.

Inequalities for the moments and distribution of the ladder height of a random walk.

Lotov, V.I. (2002)

Sibirskij Matematicheskij Zhurnal

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Characterizations of distributions by moments of order statistics when the sample size is random

Zofia Grudzień, Dominik Szynal (1995)

Applicationes Mathematicae

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We give characterizations of the uniform distribution in terms of moments of order statistics when the sample size is random. Special cases of a random sample size (logarithmic series, geometrical, binomial, negative binomial, and Poisson distribution) are also considered.

On bounds for the characteristic functions of some degenerate multidimensional distributions.

Shervashidze, T. (2003)

Georgian Mathematical Journal

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Multivariate negative binomial distributions generated by multivariate exponential distributions

Bolesław Kopociński (1999)

Applicationes Mathematicae

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We define a multivariate negative binomial distribution (MVNB) as a bivariate Poisson distribution function mixed with a multivariate exponential (MVE) distribution. We focus on the class of MVNB distributions generated by Marshall-Olkin MVE distributions. For simplicity of notation we analyze in detail the class of bivariate (BVNB) distributions. In applications the standard data from [2] and [7] and data concerning parasites of birds from [4] are used.

Approximations of the distribution of the sum of random variables from the generalized logistic distribution

Matthev O. Ojo (2002)

Kragujevac Journal of Mathematics

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A generalization of the Gumbel distribution

Shola Adeyemi, Mathew Oladejo Ojo (2003)

Kragujevac Journal of Mathematics

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Asymptotic behaviour of a transport equation

Ryszard Rudnicki (1992)

Annales Polonici Mathematici

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We study the asymptotic behaviour of the semigroup of Markov operators generated by the equation $u_{t} + b u_{x} + c u = a \int_{0}^{a x} u (t, a x - y) μ (d y)$ . We prove that for a > 1 this semigroup is asymptotically stable. We show that for a ≤ 1 this semigroup, properly normalized, converges to a limit which depends only on a.

Bounds for the characteristic functions of the system of monomials in random variables and of its trigonometric analogue.

Shervashidze, T. (1997)

Georgian Mathematical Journal

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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.

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.