Precise lim sup behavior of probabilities of large deviations for sums of i.i.d. random variables.
Li, Deli, Rosalsky, Andrew (2004)
International Journal of Mathematics and Mathematical Sciences
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Li, Deli, Rosalsky, Andrew (2004)
International Journal of Mathematics and Mathematical Sciences
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Li, Deli, Rao, M.Bhaskara, Wang, Xiangchen (1994)
International Journal of Mathematics and Mathematical Sciences
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Wang, Qiying (2005)
Electronic Journal of Probability [electronic only]
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Andrzej Krajka, Zdzisław Rychlik (1993)
Commentationes Mathematicae Universitatis Carolinae
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Let be a sequence of independent random variables such that , , . Let be a sequence od positive integer-valued random variables. Let us put , , , . In this paper we present necessary and sufficient conditions for weak convergence of the sequence , as . The obtained theorems extend the main result of M. Finkelstein and H.G. Tucker (1989).
Giné, Evarist, Götze, Friedrich (2004)
Electronic Communications in Probability [electronic only]
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Járai, Antal A., Kesten, Harry (2004)
Electronic Communications in Probability [electronic only]
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István Fenyö (1985)
Stochastica
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Using some results of the theory of functional equations we deduce some properties of the Jacobian sn z function which seem to be new. Some functional equations have also been found which are fulfilled by the sn z function which the author did not find in the literature.
Mason, David M., Zinn, Joel (2005)
Electronic Communications in Probability [electronic only]
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Xuejun, Wang, Shuhe, Hu, Ting, Zhao, Wenzhi, Yang (2010)
Journal of Inequalities and Applications [electronic only]
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