Proof of david kendall's conjecture concerning the shape of large random polygons

Cybernetics and Systems Analysis

Volumn 33, Issue 4, 1997, Pages 461-467

  Kovalenko, I N ^a  

^a NONE

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[No Author keywords available]

Indexed keywords

EID: 35848971039     PISSN: 10600396     EISSN: 15738337     Source Type: Journal    
DOI: 10.1007/BF02733102     Document Type: Article

References (8)

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2. D. Stoyan, W. S. Kendall, and J. Mecke, Stochastic Geometry and Its Applications, Wiley, New York (1987).
3. R. E. Miles, "A heuristic proof of a long-standing conjecture of D. G. Kendall concerning the shapes of certain large polygons," Adv. Appl. Prob. (SGSA), 27, 397-417 (1995).
4. D. G. Kendall, "Shape manifolds, procrustean metrics, and complex projective spaces," Bull. London Math. Soc., 16, 81-121 (1984).
5. R. E. Miles, "Random polygons determined by random lines in a plane," Proc. Nat. Acad. Sci (USA), 52, 901-907, 1157-1160 (1964).
6. R. E. Miles, "The various aggregates of random polygons determined by random lines in a plane," Adv. Math., 10, 256-290 (1973).
7. I. I. Gikliman and A. V. Skorokhod, An Introduction to Theory of Stochastic Processes [in Russian], Nauka, Moscow (1977).
8. T. Bonnesen, "Uber eine Verscharfung der isoperimetrischen Ungleichheit in der Ebene und auf der Kugeloberflache nebst einer Anwendung auf eine Minkowskische Ungleichheit fur konvexe Korper," Math. Ann., 84, 216-227 (1921).