An elementary renewal theorem for random compact convex sets

A set-valued analog of the elementary renewal theorem for Minkowski sums of random closed sets is considered. The corresponding renewal function is defined as where are Minkowski (element-wise) sums of i.i.d. random compact convex sets. In this paper we determine the limit of H ( tK )/ t as t tends...

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Veröffentlicht in:	Advances in applied probability 1995-12, Vol.27 (4), p.931-942
Hauptverfasser:	Molchanov, Ilya S., Omey, Edward, Kozarovitzky, Eugene
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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