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Volumn 6, Issue 1, 1996, Pages 79-95

Estimation of jump points and jump values of a density function

(2)  Chu, C K a   Cheng, P E a  

a NONE

Author keywords

Asymptotic normality; Density estimation; Jump point; Jump size; Kernel estimator; Strong consistency

Indexed keywords


EID: 21344447212     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (16)
  • 1
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    • Bickel, P.J.1    Rosenblatt, M.2
  • 2
    • 84972959175 scopus 로고
    • Kernel estimation of densities with discontinuities or discontinuous derivatives
    • Cline, D. B. II. and Hart, J. D. (1991). Kernel estimation of densities with discontinuities or discontinuous derivatives. Statistics 22, 69-84.
    • (1991) Statistics , vol.22 , pp. 69-84
    • Cline II, D.B.1    Hart, J.D.2
  • 3
    • 51249173790 scopus 로고
    • Mean integrated squared error of kernel estimators when the density and its derivatives are not necessarily continuous
    • van Eeden, C. (1985). Mean integrated squared error of kernel estimators when the density and its derivatives are not necessarily continuous. Ann. Inst. Stat. Math. 37, 461-472.
    • (1985) Ann. Inst. Stat. Math. , vol.37 , pp. 461-472
    • Van Eeden, C.1
  • 4
    • 21144469971 scopus 로고
    • Asymptotics for least squares cross-validation bandwidths in nonsmooth cases
    • van Es, B. (1992). Asymptotics for least squares cross-validation bandwidths in nonsmooth cases. Ann. Statist. 20, 1647-1657.
    • (1992) Ann. Statist. , vol.20 , pp. 1647-1657
    • Van Es, B.1
  • 7
    • 0000155686 scopus 로고
    • Extent to which least-squares cross-validation minimizes integrated square error in nonparametric density estimation
    • Hall, P. and Marron, J. S. (1987). Extent to which least-squares cross-validation minimizes integrated square error in nonparametric density estimation. Theory Probab. Related Fields 74, 567-581.
    • (1987) Theory Probab. Related Fields , vol.74 , pp. 567-581
    • Hall, P.1    Marron, J.S.2
  • 8
    • 0000319983 scopus 로고
    • Speed of estimation in position emission tomography and related inverse problems
    • Johnstone, I. M. and Silverman, B. W. (1990). Speed of estimation in position emission tomography and related inverse problems. Ann. Statist. 18, 251-280.
    • (1990) Ann. Statist. , vol.18 , pp. 251-280
    • Johnstone, I.M.1    Silverman, B.W.2
  • 9
    • 0025414203 scopus 로고
    • Coping with discontinuities in computer vision: Their detection, classification, and measurement
    • Lee, D. (1990). Coping with discontinuities in computer vision: their detection, classification, and measurement. IEEE Transactions on Patter Analysis and Machine Intelligence, 12, 321-344.
    • (1990) IEEE Transactions on Patter Analysis and Machine Intelligence , vol.12 , pp. 321-344
    • Lee, D.1
  • 10
    • 0000263369 scopus 로고
    • Change-points in nonparametric regression analysis
    • Müller, H. G. (1992). Change-points in nonparametric regression analysis. Ann. Statist. 20, 737-761.
    • (1992) Ann. Statist. , vol.20 , pp. 737-761
    • Müller, H.G.1
  • 14
    • 0002752852 scopus 로고
    • A smoothed EM approach to indirect estimation problems, with particular reference to stereology and emission tomography
    • Silverman, B. W., Jones, M. C., Wilson, J. D. and Nychka, D. W. (1990). A smoothed EM approach to indirect estimation problems, with particular reference to stereology and emission tomography. J. Roy. Statist. Soc. Ser.B 52, 271-324.
    • (1990) J. Roy. Statist. Soc. Ser.B , vol.52 , pp. 271-324
    • Silverman, B.W.1    Jones, M.C.2    Wilson, J.D.3    Nychka, D.W.4
  • 15
    • 21344487598 scopus 로고
    • Kernel-type estimators of jump points and values of a regression function
    • Wu, J. S. and Chu, C. K. (1993). Kernel-type estimators of jump points and values of a regression function. Ann. Statist. 21, 1545-1566.
    • (1993) Ann. Statist. , vol.21 , pp. 1545-1566
    • Wu, J.S.1    Chu, C.K.2
  • 16
    • 0001484492 scopus 로고
    • Detection of the number, locations and magnitudes of jumps
    • Yin, Y. Q. (1988). Detection of the number, locations and magnitudes of jumps. Comm. Statist. Stochastic Models 4, 445-455.
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    • Yin, Y.Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.