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Volumn 66, Issue 2, 1998, Pages 223-233

Directional monotonicity properties of the power functions of likelihood ratio tests for cone-restricted hypotheses of normal means

Author keywords

Cone ordering; Cone restriction; Likelihood ratio test; Majorization; Monotonicity of power functions; Probability inequality; Unimodality

Indexed keywords


EID: 0032011302     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(97)00087-6     Document Type: Article
Times cited : (3)

References (17)
  • 1
    • 84968476146 scopus 로고
    • The integral of a symmetric, unimodal function over a symmetric, convex set and some probability inequalities
    • Andersen, T.W., 1955. The integral of a symmetric, unimodal function over a symmetric, convex set and some probability inequalities. Proc. Amer. Math. Soc. 6, 170-176.
    • (1955) Proc. Amer. Math. Soc. , vol.6 , pp. 170-176
    • Andersen, T.W.1
  • 2
    • 0001611337 scopus 로고
    • A test of homogeneity of means under restricted alternatives
    • Bartholomew, D.J., 1961. A test of homogeneity of means under restricted alternatives (with discussion). J. Roy. Statist. Soc. Ser. B 23, 239-281.
    • (1961) J. Roy. Statist. Soc. Ser. B , vol.23 , pp. 239-281
    • Bartholomew, D.J.1
  • 3
    • 0030369127 scopus 로고    scopus 로고
    • Cone order association and stochastic cone ordering with applications to order-restricted testing
    • Cohen, A., Sackrowitz, H.B., 1996. Cone order association and stochastic cone ordering with applications to order-restricted testing. Ann. Statist. 24, 1547-1554.
    • (1996) Ann. Statist. , vol.24 , pp. 1547-1554
    • Cohen, A.1    Sackrowitz, H.B.2
  • 5
    • 0001623641 scopus 로고
    • Reflection groups, generalized schur functions, and the geometry of majorization
    • Eaton, M.L., Perlman, M.D., 1977. Reflection groups, generalized Schur functions, and the geometry of majorization. Ann. Probab. 5, 829-860.
    • (1977) Ann. Probab. , vol.5 , pp. 829-860
    • Eaton, M.L.1    Perlman, M.D.2
  • 6
    • 21844515017 scopus 로고
    • Monotonicity properties of the power functions of likelihood ratio tests for normal mean hypotheses constrained by a linear space and a cone
    • Hu, X., Wright, F.T., 1994. Monotonicity properties of the power functions of likelihood ratio tests for normal mean hypotheses constrained by a linear space and a cone Ann. Statist. 22, 1547-1554.
    • (1994) Ann. Statist. , vol.22 , pp. 1547-1554
    • Hu, X.1    Wright, F.T.2
  • 7
    • 0030295593 scopus 로고    scopus 로고
    • An extension of a convolution theorem for G-monotone functions and its application to Bartholomew's conjectures
    • Iwasa, M., 1996. An extension of a convolution theorem for G-monotone functions and its application to Bartholomew's conjectures. J. Multivariate Anal. 59, 249-271.
    • (1996) J. Multivariate Anal. , vol.59 , pp. 249-271
    • Iwasa, M.1
  • 9
    • 0000001456 scopus 로고
    • A probability inequality for elliptically contoured densities with applications in order restricted inference
    • Mukerjee, S.P., Robertson, T., Wright, F.T., 1986. A probability inequality for elliptically contoured densities with applications in order restricted inference. Ann. Statist. 14, 1544-1554.
    • (1986) Ann. Statist. , vol.14 , pp. 1544-1554
    • Mukerjee, S.P.1    Robertson, T.2    Wright, F.T.3
  • 11
    • 0000602791 scopus 로고
    • Testing linear hypotheses under restricted alternatives
    • Pinuus, R., 1975. Testing linear hypotheses under restricted alternatives. Math. Operationsforsch. Statist. 5, 733-751.
    • (1975) Math. Operationsforsch. Statist. , vol.5 , pp. 733-751
    • Pinuus, R.1
  • 12
    • 0001738593 scopus 로고
    • Hypothesis tests for normal means constrained by linear inequalities
    • Raubertas, R.F., Lee, C.C., Nordheim, E.V., 1986. Hypothesis tests for normal means constrained by linear inequalities. Commun. Statist.-Theor. Meth. 15, 2809-2833.
    • (1986) Commun. Statist.-Theor. Meth. , vol.15 , pp. 2809-2833
    • Raubertas, R.F.1    Lee, C.C.2    Nordheim, E.V.3
  • 14
    • 38249013196 scopus 로고
    • On power functions of the likelihood ratio tests for the simple loop order in normal means: Unequal sample sizes
    • Singh, B., Schell, M.J., 1992. On power functions of the likelihood ratio tests for the simple loop order in normal means: unequal sample sizes. Statist. Probab. Lett. 14, 253-267.
    • (1992) Statist. Probab. Lett. , vol.14 , pp. 253-267
    • Singh, B.1    Schell, M.J.2
  • 15
    • 0000389246 scopus 로고
    • The power functions of the likelihood ratio tests for a simple tree order in normal means: Unequal weights, commun
    • Singh, B., Schell, M.J., Wright, F.T., 1993. The power functions of the likelihood ratio tests for a simple tree order in normal means: unequal weights, Commun. Statist. -Theor. Meth. 22, 425-449.
    • (1993) Statist. -Theor. Meth. , vol.22 , pp. 425-449
    • Singh, B.1    Schell, M.J.2    Wright, F.T.3
  • 16
    • 84972894654 scopus 로고
    • The power functions of the likelihood ratio tests for a simply ordered trend in normal means
    • Singh, B., Wright, F.T., 1989. The power functions of the likelihood ratio tests for a simply ordered trend in normal means. Commun. Statist. -Theor. Meth. 18, 2351-2392.
    • (1989) Commun. Statist. -Theor. Meth. , vol.18 , pp. 2351-2392
    • Singh, B.1    Wright, F.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.