On some functional of the hybrid process in random scenery |
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Authors: | Sergio Alvarez-Andrade |
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Institution: | Laboratoire de mathématiques appliquées, université de technologie de Compiègne, B.P. 529, 60205 Compiègne cedex, France |
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Abstract: | In this work we wish to investigate an example based on the so-called Kesten–Spitzer random walk in random scenery. Namely, replacing the one-dimensional random walk in a general i.i.d. scenery by the hybrids of empirical and partial sums process (see, for instance, L. Horváth, Approximations for hybrids of empirical and partial sums process, J. Statist. Plann. Inference 88 (2000) 1–18]), we establish an upper bound in the strong approximation for the corresponding functional. |
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