Sample behavior and laws of large numbers for Gaussian random elements.
Ergemlidze, Z., Shangua, A., Tarieladze, V. (2003)
Georgian Mathematical Journal
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Ergemlidze, Z., Shangua, A., Tarieladze, V. (2003)
Georgian Mathematical Journal
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Małgorzata Bogdan (1994)
Applicationes Mathematicae
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We study the asymptotic distributions of linear combinations of order statistics (L-statistics) which can be expressed as differentiable statistical functionals and we obtain Berry-Esseen type bounds and the Edgeworth series for the distribution functions of L-statistics. We also analyze certain saddlepoint approximations for the distribution functions of L-statistics.
Ahsanullah, M. (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Mamporia, B. (2000)
Georgian Mathematical Journal
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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.
Račkauskas, Alfredas, Suquet, Charles (2001)
Georgian Mathematical Journal
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Shervashidze, T. (1997)
Georgian Mathematical Journal
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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.
Rider, Brian, Virag, Balint (2007)
Electronic Journal of Probability [electronic only]
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Seleši, Dora (2007)
Novi Sad Journal of Mathematics
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Arfi, Mounir (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Chobanyan, S., Salehi, H. (2001)
Georgian Mathematical Journal
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