no. 2
Exact convergence rates in Erdös-Rényi type theorems for renewal processes
Annales de l'I.H.P. Probabilités et statistiques, Tome 23 (1987) no. 2, pp. 195-207. 
@article{AIHPB_1987__23_2_195_0,
     author = {Bacro, Jean-No\"el and Deheuvels, Paul and Steinebach, Josef},
     title = {Exact convergence rates in {Erd\"os-R\'enyi} type theorems for renewal processes},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {195--207},
     publisher = {Gauthier-Villars},
     volume = {23},
     number = {2},
     year = {1987},
     mrnumber = {891710},
     zbl = {0623.60045},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1987__23_2_195_0/}
}
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Bacro, Jean-Noël; Deheuvels, Paul; Steinebach, Josef. Exact convergence rates in Erdös-Rényi type theorems for renewal processes. Annales de l'I.H.P. Probabilités et statistiques, Tome 23 (1987) no. 2, pp. 195-207. http://www.numdam.org/item/AIHPB_1987__23_2_195_0/

[1] J.N. Bacro, Encadrements limites de la statistique de Shepp. Tech. Rep. 86-45, L. S. T. A., Université Paris-VI, Publ. Inst. Univ. Paris, 1986, 2-3, 1-14. | MR | Zbl

[2] P. Deheuvels, On the Erdös-Rényi theorem for random fields and sequences and its relationships with the theory of runs and spacings. Z. Wahrsch. verw. Gebiete, t. 70, 1985, p. 91-115. | MR | Zbl

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[5] M. Retka, Gesetze von Erdös-Rényi-Typ bei Erneuerungsprozessen. Diplomarbeit, Universität Marburg.

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