caa a22 4500 467989176 CHVBK 20180323112540.0 cr unu---uuuuu 170328e19901201xx s 000 0 eng 10.1007/BF01320696 doi (NATIONALLICENCE)springer-10.1007/BF01320696 Voit Michael Mathematisches Institut, Technische Universität München, Arcisstrasse 21, D-8000, München 2, Federal Republic of Germany aut A law of the iterated logarithm for a class of polynomial hypergroups [Elektronische Daten] [Michael Voit] We consider stationary ℕ0-valued Markov chains whose transition probabilities are associated with convolution structures of measures which are induced by linearization formulas of orthogonal polynomials. The best known examples are random walks on polynomial hypergroups and generalized birth and death random walks. Using central limit theorems derived in a recent paper by the author and some martingale arguments, we here prove a law of the iterated logarithm for a class of such Markov chains. Springer-Verlag, 1990 Monatshefte für Mathematik Springer-Verlag 109/4(1990-12-01), 311-326 0026-9255 109:4<311 1990 109 605 https://doi.org/10.1007/BF01320696 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01320696 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Voit Michael Mathematisches Institut, Technische Universität München, Arcisstrasse 21, D-8000, München 2, Federal Republic of Germany aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer-Verlag 109/4(1990-12-01), 311-326 0026-9255 109:4<311 1990 109 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 386703388 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer