On the volume of parallel bodies: a probabilistic derivation of the Steiner formula

Authors
Vitale, Richard A.
Citation
A. Vitale, Richard, On the volume of parallel bodies: a probabilistic derivation of the Steiner formula, Advances in applied probability , 27(1), 1995, pp. 97-101
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
27
Issue
1
Year of publication
1995
Pages
97 - 101
Database
ACNP
SICI code
Abstract
We give a proof of the Steiner formula based on the theory of random convex bodies. In particular, we make use of laws of large numbers for both random volumes and random convex bodies themselves.