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Volumn 31, Issue 1, 2003, Pages 23-34

Simple estimation of the mode of a multivariate density

Author keywords

Kernel estimate; Mode; Multivariate probability density; Rate of convergence

Indexed keywords


EID: 0038578256     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.2307/3315901     Document Type: Article
Times cited : (34)

References (17)
  • 1
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    • Recursive estimation of the mode of a multivariate density
    • L. Devroye (1979). Recursive estimation of the mode of a multivariate density. The Canadian Journal of Statistics, 7, 159-167.
    • (1979) The Canadian Journal of Statistics , vol.7 , pp. 159-167
    • Devroye, L.1
  • 5
    • 63249112814 scopus 로고
    • Dimensionality and sample size considerations in pattern recognition practice
    • P. R. Krishnaiah & L. N. Kanal, eds., North-Holland, Amsterdam
    • A. K. Jain & B. Chandrasekaran (1982). Dimensionality and sample size considerations in pattern recognition practice. In Handbook of Statistics, Volume 2 (P. R. Krishnaiah & L. N. Kanal, eds.), North-Holland, Amsterdam, pp. 835-855.
    • (1982) Handbook of Statistics , vol.2 , pp. 835-855
    • Jain, A.K.1    Chandrasekaran, B.2
  • 7
    • 0037704537 scopus 로고
    • On asymptotic normality of the sample mode of multivariate distributions
    • V. D. Konakov (1973). On asymptotic normality of the sample mode of multivariate distributions. Theory of Probability and its Applications, 18, 836-842.
    • (1973) Theory of Probability and Its Applications , vol.18 , pp. 836-842
    • Konakov, V.D.1
  • 9
    • 0001473437 scopus 로고
    • On estimation of a probability density function and mode
    • E. Parzen (1962). On estimation of a probability density function and mode. The Annals of Mathematical Statistics, 33, 1065-1076.
    • (1962) The Annals of Mathematical Statistics , vol.33 , pp. 1065-1076
    • Parzen, E.1
  • 11
    • 0000964497 scopus 로고
    • On weak convergence and optimality of kernel density estimates of the mode
    • J. P. Romano (1988). On weak convergence and optimality of kernel density estimates of the mode. The Annals of Statistics, 16, 629-647.
    • (1988) The Annals of Statistics , vol.16 , pp. 629-647
    • Romano, J.P.1
  • 12
    • 0001529784 scopus 로고
    • Remarks on some nonparametric estimates of a density function
    • M. Rosenblatt (1956). Remarks on some nonparametric estimates of a density function. The Annals of Mathematical Statistics, 27, 832-837.
    • (1956) The Annals of Mathematical Statistics , vol.27 , pp. 832-837
    • Rosenblatt, M.1
  • 14
    • 0000060892 scopus 로고
    • Nonparametric estimation of the mode of a multivariate density
    • M. Samanta (1973). Nonparametric estimation of the mode of a multivariate density. South African Statistical Joumal, 7, 109-117.
    • (1973) South African Statistical Joumal , vol.7 , pp. 109-117
    • Samanta, M.1
  • 15
    • 0001377295 scopus 로고
    • Weak and strong uniform consistency of the kernel estimate of a density and its derivatives
    • B. Silverman (1978). Weak and strong uniform consistency of the kernel estimate of a density and its derivatives. The Annals of Statistics, 6, 177-184.
    • (1978) The Annals of Statistics , vol.6 , pp. 177-184
    • Silverman, B.1
  • 16
    • 0031478562 scopus 로고    scopus 로고
    • On nonparametric estimation of density level sets
    • A. B. Tsybakov (1997). On nonparametric estimation of density level sets. The Annals of Statistics, 25, 948-969.
    • (1997) The Annals of Statistics , vol.25 , pp. 948-969
    • Tsybakov, A.B.1
  • 17
    • 0000888197 scopus 로고    scopus 로고
    • A note on density mode estimation
    • P. Vieu (1996). A note on density mode estimation. Statistics & Probability Letters, 26, 297-307.
    • (1996) Statistics & Probability Letters , vol.26 , pp. 297-307
    • Vieu, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.