Acta mathematica scientia, Series B >
NORMALLY DISTRIBUTED PROBABILITY MEASURE ON THE METRIC SPACE OF NORMS
Received date: 2012-05-03
Revised date: 2013-04-03
Online published: 2013-09-20
In this paper we propose a method to construct probability measures on the space of convex bodies. For this purpose, first, we introduce the notion of thinness of a body. Then we show the existence of a measure with the property that its pushforward by the thinness function is a probability measure of truncated normal distribution. Finally, we improve this method to find a measure satisfying some important properties in geometric measure theory.
á.G. HORVáTH . NORMALLY DISTRIBUTED PROBABILITY MEASURE ON THE METRIC SPACE OF NORMS[J]. Acta mathematica scientia, Series B, 2013 , 33(5) : 1231 -1242 . DOI: 10.1016/S0252-9602(13)60076-4
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