메뉴 건너뛰기




Volumn 30, Issue 3, 1998, Pages 628-639

Extremes for the minimal spanning tree on normally distributed points

Author keywords

Chen Stein method; Extreme values; Geometric probability; Minimal spanning tree; Nearest neighbour graph; Poisson process

Indexed keywords


EID: 0000033024     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S000186780000851X     Document Type: Article
Times cited : (38)

References (11)
  • 1
    • 0002005293 scopus 로고
    • Two moments suffice for Poisson approximations: The Chen-Stein method
    • ARRATIA, R., GOLDSTEIN, L. AND GORDON, L. (1989). Two moments suffice for Poisson approximations: the Chen-Stein method. Ann. Prob. 17, 9-25.
    • (1989) Ann. Prob. , vol.17 , pp. 9-25
    • Arratia, R.1    Goldstein, L.2    Gordon, L.3
  • 2
    • 0003351527 scopus 로고
    • On Rohlf's method for the detection of outliers in multivariate data
    • CARONI, C. AND PRESCOTT, P. (1995). On Rohlf's method for the detection of outliers in multivariate data. J. Multivariate Anal. 52, 295-307.
    • (1995) J. Multivariate Anal. , vol.52 , pp. 295-307
    • Caroni, C.1    Prescott, P.2
  • 3
    • 0002595668 scopus 로고
    • The limit distribution of the largest nearest-neighbour link in the unit d-cube
    • DETTE, H. AND HENZE, N. (1989). The limit distribution of the largest nearest-neighbour link in the unit d-cube. J. Appl. Prob. 26, 67-80.
    • (1989) J. Appl. Prob. , vol.26 , pp. 67-80
    • Dette, H.1    Henze, N.2
  • 4
    • 21344485226 scopus 로고
    • Procedures in the identification of multiple outliers in linear models
    • HADI, A. S. AND SIMONOFF, J. S. (1993). Procedures in the identification of multiple outliers in linear models. J. Amer. Statist. Assoc. 88, 1264-1272.
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 1264-1272
    • Hadi, A.S.1    Simonoff, J.S.2
  • 6
    • 0001607462 scopus 로고
    • Asymptotic distribution of the normal sample range
    • MATTHEWS, P. C. AND RUKHIN, A. L. (1993). Asymptotic distribution of the normal sample range. Ann. Appl. Prob. 3, 454-466.
    • (1993) Ann. Appl. Prob. , vol.3 , pp. 454-466
    • Matthews, P.C.1    Rukhin, A.L.2
  • 7
    • 0031287494 scopus 로고    scopus 로고
    • The longest edge of the random minimal spanning tree
    • PENROSE, M. D. (1997). The longest edge of the random minimal spanning tree. Ann. Appl. Prob. 7, 340-361.
    • (1997) Ann. Appl. Prob. , vol.7 , pp. 340-361
    • Penrose, M.D.1
  • 8
    • 0016699095 scopus 로고
    • Generalization of the gap test for the detection of multivariate outliers
    • ROHLF, F. J. (1975). Generalization of the gap test for the detection of multivariate outliers. Biometrics. 31, 93-101.
    • (1975) Biometrics , vol.31 , pp. 93-101
    • Rohlf, F.J.1
  • 9
    • 0001611740 scopus 로고
    • Short distances, flat triangles and Poisson limits
    • SILVERMAN, B. AND BROWN, T. (1978). Short distances, flat triangles and Poisson limits. J. Appl. Prob. 15, 815-825.
    • (1978) J. Appl. Prob. , vol.15 , pp. 815-825
    • Silverman, B.1    Brown, T.2
  • 10
    • 0001855908 scopus 로고
    • General approaches to stepwise identification of unusual values in data analysis
    • ed. W. Stahel and S. Weisberg. Springer, New York
    • SIMONOFF, J. S. (1991). General approaches to stepwise identification of unusual values in data analysis. In Directions in Robust Statistics and Diagnostics: Part II, ed. W. Stahel and S. Weisberg. Springer, New York, pp. 223-242.
    • (1991) Directions in Robust Statistics and Diagnostics: Part II , pp. 223-242
    • Simonoff, J.S.1
  • 11
    • 0022731823 scopus 로고
    • Boundary domination and the distribution of the largest nearest-neighbour link in higher dimensions
    • STEELE, J. M. AND TIERNEY, L. (1986). Boundary domination and the distribution of the largest nearest-neighbour link in higher dimensions. J. Appl. Prob. 23, 524-528.
    • (1986) J. Appl. Prob. , vol.23 , pp. 524-528
    • Steele, J.M.1    Tierney, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.