Titlebook: Stochastic Models, Statistics and Their Applications; Wrocław, Poland, Feb Ansgar Steland,Ewaryst Rafajłowicz,Krzysztof Szajo Conference pr

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https://doi.org/10.1007/978-3-319-13881-7Big Data; Change-Point Analysis and Detection; Spatial and High-Dimensional Statistics; Statistical Inf

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Large Deviations of ,, Divergence Errors on PartitionsWe discuss Chernoff-type large deviation results for .. divergence errors on partitions. In contrast to the total variation and the I-divergence, the ..-divergence has an unconventional large deviation rate. In this paper we extend the result of Quine and Robinson in Ann. Stat. 13:727–742, . from uniform distribution to arbitrary distribution.

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Goodness-of-Approximation of Copulas by a Parametric FamilyIn the paper we introduce a measure for goodness of approximation based on the Cramér von Mises-statistic. In place of the unknown parameter of interest, a minimum-distance estimator of the parameter is plugged in. We prove asymptotic normality of this statistic and establish a test on goodness-of-approximation.

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Ansgar Steland,Ewaryst Rafajłowicz,Krzysztof SzajoShows recent advances in stochastic modeling, statistical inference and their applications.Discusses applications in engineering, industry and natural sciences.Includes supplementary material:

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