메뉴 건너뛰기




Volumn 25, Issue 4, 1997, Pages 399-415

Estimating the square root of a density via compactly supported wavelets

Author keywords

Density estimation; Thresholding; Wavelets

Indexed keywords

APPLICATIONS; DATA REDUCTION; ESTIMATION; WAVELET TRANSFORMS;

EID: 0031222253     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(97)00013-3     Document Type: Article
Times cited : (50)

References (28)
  • 1
    • 0042055823 scopus 로고
    • Estimating functions with wavelets, Part II: Using a Daubechies wavelet in nonparametric regression
    • Bock, M.E., Pliego, G., 1992. Estimating functions with wavelets, Part II: Using a Daubechies wavelet in nonparametric regression. Statist. Comput. Statist. Graphics Newsletter 3 (2) 27-34.
    • (1992) Statist. Comput. Statist. Graphics Newsletter , vol.3 , Issue.2 , pp. 27-34
    • Bock, M.E.1    Pliego, G.2
  • 2
    • 0001215143 scopus 로고
    • Evaluation of an unknown distribution density from observations
    • Čencov, N.N., 1962. Evaluation of an unknown distribution density from observations. Doklady 3, 1559-1562.
    • (1962) Doklady , vol.3 , pp. 1559-1562
    • Čencov, N.N.1
  • 5
    • 0000160525 scopus 로고
    • Two-scale difference equations II. Local regularity, infinite products of matrices and fractals
    • Daubechies, I., Lagarias, J., 1992. Two-scale difference equations II. Local regularity, infinite products of matrices and fractals. SIAM J. Math. Anal. 23, 1031-1079.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1031-1079
    • Daubechies, I.1    Lagarias, J.2
  • 11
    • 84950426173 scopus 로고
    • Recent developments in nonparametric density estimation
    • Izenman, A., 1991. Recent developments in nonparametric density estimation. JASA 86, 413, 205-224.
    • (1991) JASA , vol.86-413 , pp. 205-224
    • Izenman, A.1
  • 13
    • 0001669632 scopus 로고
    • Density estimation by kernel and wavelets method: Optimality of Besov spaces
    • Kerkyacharian, G., Picard, D., 1993. Density estimation by kernel and wavelets method: optimality of Besov spaces. Statist. Probab. Lett. 18, 327-336.
    • (1993) Statist. Probab. Lett. , vol.18 , pp. 327-336
    • Kerkyacharian, G.1    Picard, D.2
  • 15
    • 0000319005 scopus 로고
    • The estimation of probability densities and cumulatives by Fourier series methods
    • Kronmal, R., Tarter, M., 1968. The estimation of probability densities and cumulatives by Fourier series methods. JASA 63, 925-952.
    • (1968) JASA , vol.63 , pp. 925-952
    • Kronmal, R.1    Tarter, M.2
  • 16
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • Mallat, S.G., 1989. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. Pattern Anal. Machine Intell. 11 (7) 674-693.
    • (1989) IEEE Trans. Pattern Anal. Machine Intell. , vol.11 , Issue.7 , pp. 674-693
    • Mallat, S.G.1
  • 17
    • 0004198869 scopus 로고
    • Cambridge University Press, Cambridge
    • Meyer, Y., 1992. Wavelets and Operators. Cambridge University Press, Cambridge.
    • (1992) Wavelets and Operators
    • Meyer, Y.1
  • 18
    • 0000146939 scopus 로고
    • Choice of the threshold parameter in wavelet function estimation
    • Antoniadis, A., Oppenheim, G. (Eds.), Springer, Berlin
    • Nason, G., 1994. Choice of the threshold parameter in wavelet function estimation. In: Antoniadis, A., Oppenheim, G. (Eds.), Wavelets in Statistics, Lecture Notes in Statistics # 103. Springer, Berlin.
    • (1994) Wavelets in Statistics, Lecture Notes in Statistics , vol.103
    • Nason, G.1
  • 19
    • 0000795635 scopus 로고
    • Density estimation with confidence sets exemplified by superclusters and voids in the galaxies
    • Roeder, K., 1990. Density estimation with confidence sets exemplified by superclusters and voids in the galaxies. JASA 85, 617-624.
    • (1990) JASA , vol.85 , pp. 617-624
    • Roeder, K.1
  • 22
    • 0029513928 scopus 로고
    • Unbalancing data with wavelet transformations
    • Vidakovic, B., 1995a. Unbalancing data with wavelet transformations. Proc. SPIE 2569, 845-857.
    • (1995) Proc. SPIE , vol.2569 , pp. 845-857
    • Vidakovic, B.1
  • 23
    • 0038797207 scopus 로고
    • A note on random densities via wavelets
    • Vidakovic, B., 1995b. A note on random densities via wavelets, Statist Probab. Lett. 26, 315-321.
    • (1995) Statist Probab. Lett. , vol.26 , pp. 315-321
    • Vidakovic, B.1
  • 24
    • 0009321339 scopus 로고
    • Data-based optimal smoothing of orthogonal series density estimates
    • Wahba, G., 1981. Data-based optimal smoothing of orthogonal series density estimates. Ann. Statist. 9, 146-156.
    • (1981) Ann. Statist. , vol.9 , pp. 146-156
    • Wahba, G.1
  • 25
    • 33845232504 scopus 로고
    • Approximating of the delta function by wavelets
    • Walter, G., 1992. Approximating of the delta function by wavelets. J. Approx. Theory 71, 329-343.
    • (1992) J. Approx. Theory , vol.71 , pp. 329-343
    • Walter, G.1
  • 27
    • 0030492140 scopus 로고    scopus 로고
    • Function estimation via wavelet shrinkage for long-memory data
    • Wang, Y., 1996. Function estimation via wavelet shrinkage for long-memory data. Ann. Statist. 29, 466-484.
    • (1996) Ann. Statist. , vol.29 , pp. 466-484
    • Wang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.