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Volumn 55, Issue 3, 1996, Pages 299-317

Approximations to distributions of statistics used for testing hypotheses about the number of modes of a population

Author keywords

Bandwidth; Bootstrap; Density estimation; Gaussian process; Hypothesis test; Kernel; Mode; Monte Carlo

Indexed keywords


EID: 0030575775     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(96)00072-9     Document Type: Article
Times cited : (3)

References (16)
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  • 3
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    • Density estimation and bump-hunting by the penalized likelihood method exemplified by scattering of meteorite data
    • Good, I.J. and R.A. Gaskins (1980). Density estimation and bump-hunting by the penalized likelihood method exemplified by scattering of meteorite data. J. Amer. Statist. Assoc. 75, 42-73.
    • (1980) J. Amer. Statist. Assoc. , vol.75 , pp. 42-73
    • Good, I.J.1    Gaskins, R.A.2
  • 4
    • 0000831975 scopus 로고
    • Using the bootstrap to estimate mean squared error and select smoothing parameter in nonparametric problems
    • Hall, P. (1990). Using the bootstrap to estimate mean squared error and select smoothing parameter in nonparametric problems. J. Multivariate Anal. 32, 177-203.
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    • Hall, P.1
  • 6
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    • An approximation of partial sums of independent random variables, and the sample distribution function
    • Komlós, J., P. Major and G. Tusnády (1975). An approximation of partial sums of independent random variables, and the sample distribution function. Z. Wahrscheinlichkeitstheorie und. Verw. Gebiete 32, 111-131.
    • (1975) Z. Wahrscheinlichkeitstheorie und. 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., J.S. Marron and N.I. Fisher (1992). Some asymptotics for multimodality tests based on kernel density estimates. Probab. Theory Relat. Fields 91, 115-132.
    • (1992) Probab. Theory Relat. Fields , vol.91 , pp. 115-132
    • Mammen, E.1    Marron, J.S.2    Fisher, N.I.3
  • 9
    • 0002137778 scopus 로고
    • The mode tree: A tool for visualization of nonparametric density features
    • Minnotte, M.C. and D.W. Scott (1993). The mode tree: a tool for visualization of nonparametric density features. J. Comp. Graphical Statist. 2, 51-68.
    • (1993) J. Comp. Graphical Statist. , vol.2 , pp. 51-68
    • Minnotte, M.C.1    Scott, D.W.2
  • 10
    • 0000371878 scopus 로고
    • Excess mass estimates and tests for multimodality
    • Müller D.W. and G. Sawitzki (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
  • 11
    • 79951913194 scopus 로고
    • Nonparametric statistical data modelling
    • Parzen, E. (1979). Nonparametric statistical data modelling. J. Amer. Statist. Assoc. 74, 105-131.
    • (1979) J. Amer. Statist. Assoc. , vol.74 , pp. 105-131
    • Parzen, E.1
  • 12
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    • Using kernel estimates to investigate multimodality
    • Silverman, B.W. (1981). Using kernel estimates to investigate multimodality. J. R. Stat. Soc. Ser. B 43, 97-99.
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    • Silverman, B.W.1
  • 13
    • 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 University Press, Cambridge
    • Silverman, B.W. (1983). Some properties of a test for multimodality based on kernel density estimates. In: J.F.C. Kingman and G.E.H. Reuter. Eds, Probability, Statistics and Analysis, pp. 248-259. Cambridge University Press, Cambridge.
    • (1983) Probability, Statistics and Analysis , pp. 248-259
    • Silverman, B.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.