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Volumn 27, Issue 4, 1999, Pages 1294-1315

Mode testing in difficult cases

Author keywords

Bandwidth; Bootstrap; Calibration; Curve estimation; Level accuracy; Local maximum; Shoulder; Smoothing; Turning point

Indexed keywords


EID: 0033236908     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1017938927     Document Type: Article
Times cited : (26)

References (13)
  • 1
    • 0009206019 scopus 로고    scopus 로고
    • Calibrating the excess mass test of modality
    • Centre for Mathematics and Its Applications, Australian National Univ., Canberra
    • CHENG, M.-Y. and HALL, P. (1996), Calibrating the excess mass test of modality. Research Report SRR-002-97. Centre for Mathematics and Its Applications, Australian National Univ., Canberra.
    • (1996) Research Report SRR-002-97
    • Cheng, M.-Y.1    Hall, P.2
  • 2
    • 0000239820 scopus 로고    scopus 로고
    • Calibrating the excess mass and dip tests of modality
    • CHENG, M.-Y. and HALL, P. (1998). Calibrating the excess mass and dip tests of modality. J. Roy. Statist. Soc. Ser. B 60 579-589.
    • (1998) J. Roy. Statist. Soc. Ser. B , vol.60 , pp. 579-589
    • Cheng, M.-Y.1    Hall, P.2
  • 3
    • 0003039247 scopus 로고
    • Notes on the analysis of mixed frequency distributions
    • COX, D. R. (1966). Notes on the analysis of mixed frequency distributions. British J. Math. Statist. Psych. 19 39-47.
    • (1966) British J. Math. Statist. Psych. , vol.19 , pp. 39-47
    • Cox, D.R.1
  • 7
    • 0000411204 scopus 로고
    • An approximation of partial sums of independent RV's, and the sample DF I
    • KOMLÓS, J., MAJOR, P. and TUSNÁDY, G. (1975). An approximation of partial sums of independent RV's, and the sample DF I. Z. Wahrsch. Verw. Gebiete 32 111-131.
    • (1975) Z. Wahrsch. Verw. Gebiete , vol.32 , pp. 111-131
    • Komlós, J.1    Major, P.2    Tusnády, G.3
  • 8
    • 0000905404 scopus 로고
    • Some asymptotics for multimodality tests based on kernel density estimates
    • MAMMEN, E., MARRON, J. S. and 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
  • 9
    • 0000371878 scopus 로고
    • Excess mass estimates and tests for multimodality
    • MÜLLER, D. W. and 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
  • 10
    • 0002045593 scopus 로고
    • On pólya frequency functions II: Variation diminishing integral operators of the convolution type
    • SCHOENBERG, I. J. (1950). On Pólya frequency functions II: variation diminishing integral operators of the convolution type. Acta Sci. Math. (Szeged) 12B 97-106.
    • (1950) Acta Sci. Math. (Szeged) , vol.12 B , pp. 97-106
    • Schoenberg, I.J.1
  • 11
    • 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
  • 12
    • 0002518214 scopus 로고
    • Some properties of a test for multimodality based on kernel density estimates
    • J. F. C. Kingman and G. E. H. Reuter, eds. Cambridge Univ. Press
    • SILVERMAN, B. W. (1983). Some properties of a test for multimodality based on kernel density estimates. In Probability, Statistics and Analysis (J. F. C. Kingman and G. E. H. Reuter, eds.) 248-259. Cambridge Univ. Press.
    • (1983) Probability, Statistics and Analysis , pp. 248-259
    • Silverman, B.W.1
  • 13
    • 0009204801 scopus 로고    scopus 로고
    • Ph.D. thesis, Australian National Univ., Canberra
    • YORK, M. (1998). Tests for modality. Ph.D. thesis, Australian National Univ., Canberra.
    • (1998) Tests for Modality
    • York, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.