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Volumn 35, Issue 3, 2003, Pages 563-582

Random covering of the circle: The size of the connected components

Author keywords

Covering; Geometrical probability; Spacings

Indexed keywords

ASYMPTOTIC STABILITY; GEOMETRY; LAPLACE TRANSFORMS; POISSON DISTRIBUTION; PROBABILITY DENSITY FUNCTION; THEOREM PROVING;

EID: 0042881138     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1059486818     Document Type: Article
Times cited : (9)

References (11)
  • 1
    • 0001155761 scopus 로고
    • On a class of problems related to the random division of an interval
    • Darling, D. A. (1953). On a class of problems related to the random division of an interval. Ann. Math. Statist. 24, 239-253.
    • (1953) Ann. Math. Statist. , vol.24 , pp. 239-253
    • Darling, D.A.1
  • 3
    • 0012109498 scopus 로고
    • The random division of an interval and the random covering of a circle
    • Flatto, L. and Konheim, A. G. (1962). The random division of an interval and the random covering of a circle. SIAM Rev. 4, 211-222.
    • (1962) SIAM Rev. , vol.4 , pp. 211-222
    • Flatto, L.1    Konheim, A.G.2
  • 4
    • 0043052259 scopus 로고
    • A note on random arcs on the circle
    • eds A. Gut and L. Holst, Uppsala University
    • Holst, L. (1983). A note on random arcs on the circle. In Probability and Mathematical Statistics, eds A. Gut and L. Holst, Uppsala University, pp. 40-45.
    • (1983) Probability and Mathematical Statistics , pp. 40-45
    • Holst, L.1
  • 5
    • 0004463112 scopus 로고
    • On discrete spacings and the Bose-Einstein distribution
    • eds J. Lanke and G. Lindgren, University of Lund
    • Holst, L. (1985). On discrete spacings and the Bose-Einstein distribution. In Contributions to Probability and Statistics in Honour of Gunnar Blom, eds J. Lanke and G. Lindgren, University of Lund, pp. 169-177.
    • (1985) Contributions to Probability and Statistics in Honour of Gunnar Blom , pp. 169-177
    • Holst, L.1
  • 6
    • 0021499705 scopus 로고
    • On the random coverage of the circle
    • Holst, L. and Hüsler, J. (1984). On the random coverage of the circle. J. Appl. Prob. 21, 558-566.
    • (1984) J. Appl. Prob. , vol.21 , pp. 558-566
    • Holst, L.1    Hüsler, J.2
  • 7
    • 0001342091 scopus 로고
    • Spacings (with discussion)
    • Pyke, R. (1965). Spacings (with discussion). J. R. Statist. Soc. B 27, 395-449.
    • (1965) J. R. Statist. Soc. B , vol.27 , pp. 395-449
    • Pyke, R.1
  • 8
    • 0042551404 scopus 로고
    • Random arcs on the circle
    • Siegel, A. F. (1978). Random arcs on the circle. J. Appl. Prob. 15, 774-789.
    • (1978) J. Appl. Prob. , vol.15 , pp. 774-789
    • Siegel, A.F.1
  • 9
    • 84978549005 scopus 로고
    • Random division of an interval
    • Steutel, F. W. (1967). Random division of an interval. Statist. Neerlandica 21, 231-244.
    • (1967) Statist. Neerlandica , vol.21 , pp. 231-244
    • Steutel, F.W.1
  • 10
    • 0012183442 scopus 로고
    • Solution to a geometrical problem in probability
    • Stevens, W. L. (1939). Solution to a geometrical problem in probability. Ann. Eugenics 9, 315-320.
    • (1939) Ann. Eugenics , vol.9 , pp. 315-320
    • Stevens, W.L.1
  • 11
    • 0043052257 scopus 로고
    • Deighton Bell and Co., Cambridge. Republished: Hagner, New York
    • Whitworth, W. A. (1897). DCC Exercises on Choice and Chance. Deighton Bell and Co., Cambridge. Republished: Hagner, New York, 1959.
    • (1897) DCC Exercises on Choice and Chance
    • Whitworth, W.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.