A sufficient condition for association of a renewal process
Let N be a renewal point process on [0,\(\infty)\) with life time density f and consider the family \({\mathcal F}\) of random variables N(A), A Borel subset of [0,\(\infty)\). The authors prove that \({\mathcal F}\) is ''associated'' [see \textit{C. M. Newman}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 59, 361- 371 (1982; Zbl 0465.60010)] provided log f is a convex function. Interesting connections to reliability theory and to particle systems are stated.
scientific article; zbMATH DE number 3984272