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Titlebook: Mathematical Statistics and Probability Theory; Volume A Theoretical M. L. Puri,P. Révész,W. Wertz Conference proceedings 1987 D. Reidel Pu

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P. J. Szabłowskice the early 1980s as a result of advances in optical, photonic, and material technologies. Although the initial deployment was based on silica ?ber with a single wavelength modulated at low data rates, it was quickly demonstrated that ?ber can deliver much more bandwidth than any other transmission
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Many Heads in a Short Block,(....) (K = 1.2...... = 1.2....). Consider a sequence {K.} of positive integers and investigate the properties of the maximal increments ..). This problem was studied by many authors in case of different {..}’s. In the present paper we intend to summarize the results and prove a few new theorems. We
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Weak Laws for the Increments of Wiener Processes, Brownian Bridges Empirical Processes and Partial ng invariance principles to evaluate the limiting behavior of increments of partial sums of independent and identically distributed random variables, and also of the moduli of continuity of empirical and quantile processes for a uniform distribution. We complete these results in the range not covere
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Almost Sure Asymptotic Behavior of the Record and Record Time Sequences of a Stationary Gaussian Prord and record times defined with respect to a threshold could be identified via a translation of the time index to the corresponding elements defined on an i.i.d. sequence. We show in this paper, by improving our method of proof, that the same result is true for the records and record times defined
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Weak Convergence of Weighted Multivariate Empirical Processes Under Mixing Conditions,anish on the lower boundary of [0,1].. In this paper we extend the results under strong mixing conditions and also when the weight functions not only vanish on the lower boundary of [0,1]. but also on the upper corner of [0,1]..
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