메뉴 건너뛰기




Volumn 32, Issue 3, 2004, Pages 1093-1136

Densities, spectral densities and modality

Author keywords

Asymptotics; Density estimation; Modality; Spectral densities; Strings; Time series analysis

Indexed keywords


EID: 22944438248     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053604000000364     Document Type: Article
Times cited : (48)

References (49)
  • 1
    • 0002909927 scopus 로고
    • On entropy maximization principle
    • (P. R. Krishnaiah, ed.) North-Holland, Amsterdam
    • AKAIKE, H. (1977). On entropy maximization principle. In Applications of Statistics (P. R. Krishnaiah, ed.) 27-41. North-Holland, Amsterdam.
    • (1977) Applications of Statistics , pp. 27-41
    • Akaike, H.1
  • 2
    • 85042555530 scopus 로고
    • A new look at the Bayes procedure
    • AKAIKE, H. (1978). A new look at the Bayes procedure. Biometrika 65 53-59.
    • (1978) Biometrika , vol.65 , pp. 53-59
    • Akaike, H.1
  • 8
    • 38249029345 scopus 로고
    • Empirical spectral processes and their applications to time series analysis
    • DAHLHAUS, R. (1988). Empirical spectral processes and their applications to time series analysis. Stochastic Process. Appl. 30 69-83.
    • (1988) Stochastic Process. Appl. , vol.30 , pp. 69-83
    • Dahlhaus, R.1
  • 10
    • 0035608644 scopus 로고    scopus 로고
    • Local extremes, runs, strings and multiresolution
    • DAVIES, P. L. and KOVAC, A. (2001). Local extremes, runs, strings and multiresolution (with discussion). Ann. Statist. 29 1-65.
    • (2001) Ann. Statist. , vol.29 , pp. 1-65
    • Davies, P.L.1    Kovac, A.2
  • 11
    • 0000467783 scopus 로고
    • One-sided inference about functionals of a density
    • DONOHO, D. L. (1988). One-sided inference about functionals of a density. Ann. Statist. 16 1390-1420.
    • (1988) Ann. Statist. , vol.16 , pp. 1390-1420
    • Donoho, D.L.1
  • 16
    • 84950634092 scopus 로고
    • Density estimation and bump-hunting by the penalized likelihood method exemplified by scattering and meteorite data
    • GOOD, I. J. and GASKINS, R. A. (1980). Density estimation and bump-hunting by the penalized likelihood method exemplified by scattering and meteorite data (with discussion). 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
  • 17
    • 0000263475 scopus 로고
    • The determination of the order of an autoregression
    • HANNAN, E. J. and QUINN, B. G. (1979). The determination of the order of an autoregression. J. Roy. Statist. Soc. Ser. B 41 190-195.
    • (1979) J. Roy. Statist. Soc. Ser. B , vol.41 , pp. 190-195
    • Hannan, E.J.1    Quinn, B.G.2
  • 20
    • 21844522284 scopus 로고
    • Finite-sample confidence envelopes for shape-restricted densities
    • HENGARTNER, N. W. and STARK, P. B. (1995). Finite-sample confidence envelopes for shape-restricted densities. Ann. Statist. 23 525-550.
    • (1995) Ann. Statist. , vol.23 , pp. 525-550
    • Hengartner, N.W.1    Stark, P.B.2
  • 21
    • 24344490548 scopus 로고    scopus 로고
    • Some new methods for wavelet density estimation
    • Dept. Mathematics, Univ. Bristol
    • HERRICK, D. R. M., NASON, G. P. and SILVERMAN, B. W. (2000). Some new methods for wavelet density estimation. Technical report, Dept. Mathematics, Univ. Bristol.
    • (2000) Technical Report
    • Herrick, D.R.M.1    Nason, G.P.2    Silverman, B.W.3
  • 22
    • 0002738673 scopus 로고
    • Asymptotic distributions of slope-of-greatest-convex-minorant estimators
    • LEURGANS, S. (1982). Asymptotic distributions of slope-of-greatest- convex-minorant estimators. Ann. Statist. 10 287-296.
    • (1982) Ann. Statist. , vol.10 , pp. 287-296
    • Leurgans, S.1
  • 23
    • 0033438066 scopus 로고    scopus 로고
    • Bandwidth selection: Classical or plug-in?
    • LOADER, C. R. (1999). Bandwidth selection: Classical or plug-in? Ann. Statist. 27 415-438.
    • (1999) Ann. Statist. , vol.27 , pp. 415-438
    • Loader, C.R.1
  • 24
    • 84861243268 scopus 로고    scopus 로고
    • Smoothing functions under shape constraints
    • Dept. Mathematics and Computer Science, Univ. Essen
    • LÖWENDICK, M. and DAVIES, P. L. (1998). Smoothing functions under shape constraints. Technical report, Dept. Mathematics and Computer Science, Univ. Essen.
    • (1998) Technical Report
    • Löwendick, M.1    Davies, P.L.2
  • 26
    • 0031514745 scopus 로고    scopus 로고
    • Locally adaptive regression splines
    • MAMMEN, E. and VAN DE GEER, S. (1997). Locally adaptive regression splines. Ann. Statist. 25 387-413.
    • (1997) Ann. Statist. , vol.25 , pp. 387-413
    • Mammen, E.1    Van De Geer, S.2
  • 27
    • 0001366850 scopus 로고
    • Exact mean integrated squared error
    • MARRON, J. S. and WAND, M. P. (1992). Exact mean integrated squared error. Ann. Statist. 20 712-736.
    • (1992) Ann. Statist. , vol.20 , pp. 712-736
    • Marron, J.S.1    Wand, M.P.2
  • 28
    • 0007070197 scopus 로고
    • Strong limit theorems for oscillation moduli of the uniform empirical process
    • MASON, D. M., SHORACK, G. R. and WELLNER, J. A. (1983). Strong limit theorems for oscillation moduli of the uniform empirical process. Z. Wahrsch. Verw. Gebiete 65 83-97.
    • (1983) Z. Wahrsch. Verw. Gebiete , vol.65 , pp. 83-97
    • Mason, D.M.1    Shorack, G.R.2    Wellner, J.A.3
  • 31
    • 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
  • 32
    • 0000570384 scopus 로고
    • On nonparametric estimates of density functions and regression curves
    • NADARAYA, E. A. (1965). On nonparametric estimates of density functions and regression curves. Theory Probab. Appl. 10 186-190.
    • (1965) Theory Probab. Appl. , vol.10 , pp. 186-190
    • Nadaraya, E.A.1
  • 33
    • 0001786009 scopus 로고    scopus 로고
    • Spectral density estimation via nonlinear wavelet methods for stationary non-Gaussian time series
    • NEUMANN, M. H. (1996). Spectral density estimation via nonlinear wavelet methods for stationary non-Gaussian time series. J. Time Ser. Anal. 17 601-633.
    • (1996) J. Time Ser. Anal. , vol.17 , pp. 601-633
    • Neumann, M.H.1
  • 34
    • 0002491164 scopus 로고
    • Density estimation under qualitative assumptions in higher dimensions
    • POLONIK, W. (1995a). Density estimation under qualitative assumptions in higher dimensions. J. Multivariate Anal. 55 61-81.
    • (1995) J. Multivariate Anal. , vol.55 , pp. 61-81
    • Polonik, W.1
  • 35
    • 0001030653 scopus 로고
    • Measuring mass concentrations and estimating density contour clusters - An excess mass approach
    • POLONIK, W. (1995b). Measuring mass concentrations and estimating density contour clusters - an excess mass approach. Ann. Statist. 23 855-881.
    • (1995) Ann. Statist. , vol.23 , pp. 855-881
    • Polonik, W.1
  • 36
    • 0033236910 scopus 로고    scopus 로고
    • Concentration and goodness-of-fit in higher dimensions: (Asymptotically) distribution-free methods
    • POLONIK, W. (1999). Concentration and goodness-of-fit in higher dimensions: (Asymptotically) distribution-free methods. Ann. Statist. 27 1210-1229.
    • (1999) Ann. Statist. , vol.27 , pp. 1210-1229
    • Polonik, W.1
  • 38
    • 18244378520 scopus 로고    scopus 로고
    • On Bayesian analysis of mixtures with an unknown number of components
    • RICHARDSON, S. and GREEN, P. J. (1997). On Bayesian analysis of mixtures with an unknown number of components (with discussion). J. Roy. Statist. Soc. Ser. B 59 731-792.
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 731-792
    • Richardson, S.1    Green, P.J.2
  • 39
    • 21744460005 scopus 로고    scopus 로고
    • Practical Bayesian density estimation using mixtures of normals
    • ROEDER, K. and WASSERMAN, L. (1997). Practical Bayesian density estimation using mixtures of normals. J. Amer. Statist. Assoc. 92 894-902.
    • (1997) J. Amer. Statist. Assoc. , vol.92 , pp. 894-902
    • Roeder, K.1    Wasserman, L.2
  • 40
    • 0030327572 scopus 로고    scopus 로고
    • On locally adaptive density estimation
    • SAIN, S. R. and SCOTT, D. W. (1996). On locally adaptive density estimation. J. Amer. Statist. Assoc. 91 1525-1534.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1525-1534
    • Sain, S.R.1    Scott, D.W.2
  • 41
    • 0001268552 scopus 로고
    • A reliable data-based bandwidth selection method for kernel density estimation
    • SHEATHER, S. J. and JONES, M. C. (1991). A reliable data-based bandwidth selection method for kernel density estimation. J. Roy. Statist. Soc. Ser. B 53 683-690.
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 683-690
    • Sheather, S.J.1    Jones, M.C.2
  • 44
    • 0040086956 scopus 로고
    • Exploratory analysis of variance as providing examples of strategic choices
    • (S. Morgenthaler, E. Ronchetti and W. A. Stahel, eds.) Birkhäuser, Basel
    • TUKEY, J. W. (1993a). Exploratory analysis of variance as providing examples of strategic choices. In New Directions in Statistical Data Analysis and Robustness (S. Morgenthaler, E. Ronchetti and W. A. Stahel, eds.) 205-258. Birkhäuser, Basel.
    • (1993) New Directions in Statistical Data Analysis and Robustness , pp. 205-258
    • Tukey, J.W.1
  • 46
    • 0032330376 scopus 로고    scopus 로고
    • Bayesian goodness-of-fit testing using infinite-dimensional exponential families
    • VERDINELLI, I. and WASSERMAN, L. (1998). Bayesian goodness-of-fit testing using infinite-dimensional exponential families. Ann. Statist. 26 1215-1241.
    • (1998) Ann. Statist. , vol.26 , pp. 1215-1241
    • Verdinelli, I.1    Wasserman, L.2
  • 49
    • 0001762424 scopus 로고
    • Smooth regression analysis
    • WATSON, G. S. (1964). Smooth regression analysis. Sankhyā 26 359-372.
    • (1964) Sankhyā , vol.26 , pp. 359-372
    • Watson, G.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.