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Volumn 84, Issue 2, 2003, Pages 209-221

Application of fast spherical Fourier transform to density estimation

Author keywords

Band limited function; Box kernel; Legendre polynomials; Optimal convergence rate; Randomization of grid

Indexed keywords


EID: 0037299549     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0047-259X(02)00041-6     Document Type: Review
Times cited : (11)

References (8)
  • 2
    • 0000273884 scopus 로고
    • Computing Fourier transforms and convolutions on the 2-sphere
    • J.R. Driscoll, D.M. Healy, Computing Fourier transforms and convolutions on the 2-sphere, Adv. Appl. Math. 15 (1994) 202-250.
    • (1994) Adv. Appl. Math. , vol.15 , pp. 202-250
    • Driscoll, J.R.1    Healy, D.M.2
  • 4
    • 0030543857 scopus 로고    scopus 로고
    • An empirical approach Bayes to directional data and efficient computation on the sphere
    • D. Healy, P.T. Kim, An empirical Bayes approach to directional data and efficient computation on the sphere, Ann. Statist. 24 (1996) 232-254.
    • (1996) Ann. Statist. , vol.24 , pp. 232-254
    • Healy, D.1    Kim, P.T.2
  • 5
    • 0001583657 scopus 로고
    • Nonparametric estimation of a probability density on a Riemannian manifold using Fourier expansions
    • H. Hendriks, Nonparametric estimation of a probability density on a Riemannian manifold using Fourier expansions, Ann. Statist. 18 (1990) 832 849.
    • (1990) Ann. Statist. , vol.18 , pp. 832-849
    • Hendriks, H.1
  • 6
    • 0042173568 scopus 로고    scopus 로고
    • Aliasing effects and sampling theorems of spherical random fields when sampled on a finite grid
    • LI. Ta-Hsin, G.R. North, Aliasing effects and sampling theorems of spherical random fields when sampled on a finite grid, Ann. Inst. Statist. Math. 49 (1997) 341-354.
    • (1997) Ann. Inst. Statist. Math. , vol.49 , pp. 341-354
    • Ta-Hsin, L.I.1    North, G.R.2
  • 7
    • 0000439528 scopus 로고
    • Optimal rates of convergence for nonparametric estimators
    • C.J. Stone, Optimal rates of convergence for nonparametric estimators, Ann. Statist. 8 (1980) 1348-1360.
    • (1980) Ann. Statist. , vol.8 , pp. 1348-1360
    • Stone, C.J.1
  • 8
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametric estimators
    • C.J. Stone, Optimal global rates of convergence for nonparametric estimators, Ann. Statist. 10 (1982) 1040-1053.
    • (1982) Ann. Statist. , vol.10 , pp. 1040-1053
    • Stone, C.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.