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Volumn 39, Issue 3, 1998, Pages 245-254

On mode testing and empirical approximations to distributions

Author keywords

Bandwidth test; Concave majorant; Convex minorant; Density estimation; Dip test; Excess mass test; Local alternative hypothesis; Order constraints; Unimodal distribution

Indexed keywords


EID: 0032528708     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(98)00058-3     Document Type: Article
Times cited : (7)

References (12)
  • 2
    • 84968483732 scopus 로고
    • On an inequality for convex functions
    • Brunk, H.D., 1956. On an inequality for convex functions. Proc. Amer. Math. Soc. 7, 817-824.
    • (1956) Proc. Amer. Math. Soc. , vol.7 , pp. 817-824
    • Brunk, H.D.1
  • 3
    • 0000661267 scopus 로고
    • Maximum likelihood estimation of ordered probabilities
    • Eeden, C. van, 1956. Maximum likelihood estimation of ordered probabilities. Indag. Math. 18, 444-455.
    • (1956) Indag. Math. , vol.18 , pp. 444-455
    • Van Eeden, C.1
  • 4
    • 84945603474 scopus 로고
    • On the theory of mortality measurement, Part II
    • Grenander, U., 1956. On the theory of mortality measurement, Part II. Skand. Act. 39, 125-153.
    • (1956) Skand. Act. , vol.39 , pp. 125-153
    • Grenander, U.1
  • 5
    • 0000246894 scopus 로고
    • On confidence bands in nonparametric density estimation and regression
    • Hall, P., Titterington, D.M., 1988. On confidence bands in nonparametric density estimation and regression. J. Multivariate. Anal. 27, 228-254.
    • (1988) J. Multivariate. Anal. , vol.27 , pp. 228-254
    • Hall, P.1    Titterington, D.M.2
  • 7
    • 0001218902 scopus 로고
    • Algorithm AS217: Computation of the dip statistic to test for unimodality
    • Hartigan, P.M., 1985. Algorithm AS217: Computation of the dip statistic to test for unimodality. Appl. Statist. 34, 320-325.
    • (1985) Appl. Statist. , vol.34 , pp. 320-325
    • Hartigan, P.M.1
  • 8
    • 0002842430 scopus 로고
    • Asymptotically minimax estimation of concave and convex distribution functions
    • Kiefer, J., Wolfowitz, J., 1976. Asymptotically minimax estimation of concave and convex distribution functions. Z. Wahrscheinlichkeitstheorie verw. Gebiete 34, 73-85.
    • (1976) Z. Wahrscheinlichkeitstheorie Verw. Gebiete , vol.34 , pp. 73-85
    • Kiefer, J.1    Wolfowitz, J.2
  • 10
    • 0000905404 scopus 로고
    • Some asymptotics for multimodality tests based on kernel density estimates
    • Mammen, E., Marron, J.S., Fisher, N.I., 1992. Some asymptotics for multimodality tests based on kernel density estimates. Probab. Theory Related Fields 91, 115-132.
    • (1992) Probab. Theory Related Fields , vol.91 , pp. 115-132
    • Mammen, E.1    Marron, J.S.2    Fisher, N.I.3
  • 11
    • 0000371878 scopus 로고
    • Excess mass estimates and tests for multimodality
    • Müller, D.W., Sawitzki, G., 1991. Excess mass estimates and tests for multimodality. J. Amer. Statist. Assoc. 86, 738-746.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 738-746
    • Müller, D.W.1    Sawitzki, G.2
  • 12
    • 0002333325 scopus 로고
    • Using kernel density estimates to investigate multimodality
    • Silverman, B.W., 1981. Using kernel density estimates to investigate multimodality. J. Roy. Statist. Soc. Ser. B 43, 97-99.
    • (1981) J. Roy. Statist. Soc. Ser. B , vol.43 , pp. 97-99
    • Silverman, B.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.