Lois du logarithme itéré pour les histogrammes à pas constant et à pas aléatoire. (Laws of iterated logarithm for histograms with fixed and random partition). (French. Abridged English version) Zbl 0783.60033
Summary: In this note, thanks to recent results of P. Deheuvels and D. M. Mason [Ann. Probab. 20, No. 3, 1248-1287 (1992; Zbl 0760.60028)] on functional laws of the iterated logarithm for the increments of empirical and quantile processes, we propose a new approach and some extensions of a result of W. Stute [ibid. 10, 86-107 (1982; Zbl 0489.60038)] on laws of iterated logarithm for fixed and random partition histograms.
