메뉴 건너뛰기




Volumn 69, Issue 4, 2007, Pages 700-716

More powerful tests for homogeneity of multivariate normal mean vectors under an order restriction

Author keywords

Common unknown covariance matrix; Isotonic regression; Multivariate isotonic regression; Multivariate normal distribution; Similar test

Indexed keywords


EID: 58149468834     PISSN: 09727671     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (15)
  • 1
    • 58149461113 scopus 로고    scopus 로고
    • ANDERSON, T.W. (1984). An Introduction to Multivariate Statistical Analysis, 2nd edition, Wiley, New York.
    • ANDERSON, T.W. (1984). An Introduction to Multivariate Statistical Analysis, 2nd edition, Wiley, New York.
  • 3
    • 58149470792 scopus 로고    scopus 로고
    • BARTHOLOMEW, D.J. (1959). A test of homogeneity for ordered alternatives, Biometrika, 46, 36-48.
    • BARTHOLOMEW, D.J. (1959). A test of homogeneity for ordered alternatives, Biometrika, 46, 36-48.
  • 4
    • 58149473067 scopus 로고    scopus 로고
    • BARTHOLOMEW, D.J. (1961). Ordered tests in the analysis of variance, Biometrika, 48, 325-332.
    • BARTHOLOMEW, D.J. (1961). Ordered tests in the analysis of variance, Biometrika, 48, 325-332.
  • 5
    • 0042398214 scopus 로고
    • A test of homogeneity of mean vectors against multivariate isotonic alternatives
    • KULATUNGA, D.D.S. and SASABUCHI, S. (1984). A test of homogeneity of mean vectors against multivariate isotonic alternatives, Mem. Fac. Sci. Kyushu Univ. Ser. A (Math.), 38, 151-161.
    • (1984) Mem. Fac. Sci. Kyushu Univ. Ser. A (Math.) , vol.38 , pp. 151-161
    • KULATUNGA, D.D.S.1    SASABUCHI, S.2
  • 6
    • 58149462212 scopus 로고    scopus 로고
    • LEHMAN, E.L. (1986). Testing Statistical Hypotheses, 2nd edition, Wiley, New York.
    • LEHMAN, E.L. (1986). Testing Statistical Hypotheses, 2nd edition, Wiley, New York.
  • 7
    • 0040175637 scopus 로고
    • A test for a multiple isotonic regression problem
    • NOMAKUCHI, K. and SHI, N.-Z. (1988). A test for a multiple isotonic regression problem, Biometrika, 75, 181-184.
    • (1988) Biometrika , vol.75 , pp. 181-184
    • NOMAKUCHI, K.1    SHI, N.-Z.2
  • 8
    • 58149461116 scopus 로고    scopus 로고
    • PERLMAN, M.D. (1969). One-sided testing problems in multivariate analysis. Ann. Math. Statist., 40, 549-567.
    • PERLMAN, M.D. (1969). One-sided testing problems in multivariate analysis. Ann. Math. Statist., 40, 549-567.
  • 10
    • 0040175638 scopus 로고
    • A multivariate version of isotonic regression
    • SASABUCHI, S., INUTSUKA, M. and KULATUNGA, D.D.S. (1983). A multivariate version of isotonic regression, Biometrika, 70, 465-472.
    • (1983) Biometrika , vol.70 , pp. 465-472
    • SASABUCHI, S.1    INUTSUKA, M.2    KULATUNGA, D.D.S.3
  • 11
    • 84972557769 scopus 로고
    • An algorithm for computing multivariate isotonic regression
    • SASABUCHI, S., INUTSUKA, M. and KULATUNGA, D.D.S. (1992). An algorithm for computing multivariate isotonic regression, Hiroshima Math. J., 22, 551-560.
    • (1992) Hiroshima Math. J , vol.22 , pp. 551-560
    • SASABUCHI, S.1    INUTSUKA, M.2    KULATUNGA, D.D.S.3
  • 12
    • 0031635046 scopus 로고    scopus 로고
    • Comparison of powers of some tests for testing homogeneity under order restrictions in multivariate normal means
    • SASABUCHI, S., KULATUNGA, D.D.S. and Saito, H. (1998). Comparison of powers of some tests for testing homogeneity under order restrictions in multivariate normal means, Amer. J. Math. Management Sci., 18, 131-158.
    • (1998) Amer. J. Math. Management Sci , vol.18 , pp. 131-158
    • SASABUCHI, S.1    KULATUNGA, D.D.S.2    Saito, H.3
  • 13
    • 0041417512 scopus 로고    scopus 로고
    • Estimation and test of several multivariate normal means under an order restriction when the dimension is larger than two
    • SASABUCHI, S., MIURA, T. and ODA, H. (2003). Estimation and test of several multivariate normal means under an order restriction when the dimension is larger than two, J. Statist. Comput. Simulation, 73, 619-641.
    • (2003) J. Statist. Comput. Simulation , vol.73 , pp. 619-641
    • SASABUCHI, S.1    MIURA, T.2    ODA, H.3
  • 14
    • 0242595972 scopus 로고    scopus 로고
    • Testing homogeneity of multivariate normal mean vectors under an order restriction when the covariance matrices are common but unknown
    • SASABUCHI, S., TANAKA, K. and TSUKAMOTO, T. (2003). Testing homogeneity of multivariate normal mean vectors under an order restriction when the covariance matrices are common but unknown, Ann. Statist., 31, 1517-1536.
    • (2003) Ann. Statist , vol.31 , pp. 1517-1536
    • SASABUCHI, S.1    TANAKA, K.2    TSUKAMOTO, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.