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RANDOM PATHS ORIGINATING WITHIN A CONVEX REGION AND TERMINATING ON ITS SURFACE

 

作者: E. G. Enns,   P. F. Ehlers,  

 

期刊: Australian Journal of Statistics  （WILEY Available online 1980）
卷期: Volume 22, issue 1  

页码: 60-68

 

ISSN:0004-9581

 

年代: 1980

 

DOI:10.1111/j.1467-842X.1980.tb01154.x

 

出版商: Blackwell Publishing Ltd

 

关键词: Geometrical probability;Convexity;Random secants;Random rays

 

数据来源: WILEY

 

摘要:

SummaryA ray is defined as a straight line originating within an arbitrary convex bodyKinn‐dimensional Euclidean space and terminating on the surface ofK.The distributions of ray length are derived for three types of randomness. The results are expressed as functions of the overlap volume and overlap surface content ofKwith its translated sel

 

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