1 |
BARRON, A. R. AND SHEU, C. H. (1991). 'Approximation of density functions by sequences of exponential families', The Annals of Statistics, 19, 1347-1369.
DOI
ScienceOn
|
2 |
CRAIN, B. R. (1976b). 'More on estimation of distributions using orthogonal expansions', Journal of the American Statistical Association, 71, 741-745
DOI
ScienceOn
|
3 |
CRAIN, B. R. (1977). 'An information theoretic approach to approximating a probability distribution', SIAM Journal on Applied Mathematics, 32, 339-346
DOI
ScienceOn
|
4 |
HENDRIKS, H. (1990). 'Nonparametric estimation of a probability density on a Riemannian manifold using Fourier expansions', The Annals of Statistics, 18, 832-849
DOI
ScienceOn
|
5 |
STONE, C. J. AND Koo, C.-Y. (1986). 'Logspline density estimation', Contemporary Mathematics, 59, 1-15, American Mathematical Society, Providence
DOI
|
6 |
TAIJERON, H. J., GIBSON, A. G. AND CHANDLER, C. (1994). 'Spline interpolation and smoothing on hyperspheres', SIAM Journal on Scientific and Statistical Computing, 15, 1111-1125
DOI
ScienceOn
|
7 |
CRAIN, B. R. (1976a). 'Exponential models, maximum likelihood estimation, and the Haar condition', Journal of the American Statistical Association, 71, 737-740
DOI
ScienceOn
|
8 |
FISHER, N. I., LEWIS, T. AND EMBLETON, B. J. (1993). Statistical Analysis of Spherical Data, Cambridge University Press, Cambridge
|
9 |
STONE, C. J. (1989). 'Uniform error bounds involving logspline models', In Probability, Statistics, and Mathematics: Papers in Honor of Samuel Karlin (T. W. Anderson, K. B. Athrya and D. L. Iglehart, eds.), 335-355, Academic Press, Boston
|
10 |
KOOPERBERG, C. AND STONE, C. J. (1991). 'A study of logspline density estimation', Computational Statistics and Data Analysis, 12, 327-347
DOI
ScienceOn
|
11 |
Xu, Y. (1997). 'Orthogonal polynomials for a family of product weight functions on the spheres', Canadian Journal of Mathematics, 49, 175-192
DOI
ScienceOn
|
12 |
NEYMAN, J. (1937). "'Smooth' test for goodness of fit", Scandinavian Actuarial Journal, 20, 149-199
|
13 |
STONE, C. J., HANSEN, M. H., KOOPERBERG, C. AND TRUONG, Y. K. (1997) 'Polynomial splines and their tensor products in extended linear modeling (with discussion)', The Annals of Statistics, 25, 1371-1470
DOI
ScienceOn
|
14 |
DIACONIS, P. (1988). Group Representations in Probability and Statistics, Institute of Mathematical Statistics, Hayward
|
15 |
YATRACOS, Y. G. (1988). 'A lower bound on the error in nonparametric regression type problems', The Annals of Statistics, 16, 1180-1187
DOI
ScienceOn
|
16 |
HEALY, D. M., HENDRIKS, H. AND KIM, P. T. (1998). 'Spherical deconvolution', Journal of Multivariate Analysis, 67, 1-22
DOI
ScienceOn
|
17 |
STONE, C. J. (1990). 'Large-sample inference for logspline models', The Annals of Statistics, 18,717-741
DOI
ScienceOn
|
18 |
BERAN, R. (1979). 'Exponential models for directional data', The Annals of Statistics, 7, 1162-1178
DOI
ScienceOn
|
19 |
Koo, J.-Y., KOOPERBERG, C. AND PARK, J. (1998). 'Logspline density estimation under censoring and truncation', Scandinavian Journal of Statistics, 26, 87-105
DOI
|
20 |
MULLER, C. (1998). Analysis of Spherical Symmetries in Euclidean Spaces, Springer-Verlag, New York
|
21 |
GINE, E. (1975). 'Invariant tests for uniformity on compact Riemannian manifolds based on Sobolev norms', The Annals of Statistics, 3, 1243-1266
DOI
ScienceOn
|
22 |
WAHBA, G. (1981). 'Spline interpolation and smoothing on the sphere', SIAM Journal on Scientific and Statistical Computing, 2, 5-16
DOI
|
23 |
MARDIA, K. V. AND JUPP, P. E. (2000). Directional Statistics, John Wiley & Sons, New York
|
24 |
HEALY, D. M. AND KIM, P. T. (1996). 'An empirical Bayes approach to directional data and efficient computation on the sphere', The Annals of Statistics, 24, 232-254
DOI
ScienceOn
|
25 |
KIM, P. T. AND Koo, J.-Y. (2000). 'Directional mixture models and optimal estimation of the mixing density', The Canadian Journal of Statistics, 28, 383-398
DOI
ScienceOn
|
26 |
BROWN, L. D. (1986). Fundamentals of Statistical Exponential Families, Institute of Mathematical Statistics, Hayward
|
27 |
KOOPERBERG, C. AND STONE, C. J. (1992). 'Logspline density estimation for censored data', Journal of Computational and Graphical Statistics, 1, 301-328
DOI
ScienceOn
|
28 |
BIRGE, L. (1983). 'Approximation dans les espaces metriques et theorie de l'estimation', Zeitschrift fur Wahrscheinlichkeitstheorie und Verwandte Gebiete, 65, 181-237
DOI
|
29 |
CHANDLER, C. AND GIBSON, A. G. (1989). 'N-body quantum scattering theory in two Hilbert spaces. V. Computation strategy', Journal of Mathematical Physics, 30, 1533-1544
DOI
|
30 |
CRAIN, B. R. (1974). 'Estimation of distributions using orthogonal expansions', The Annals of Statistics, 2, 454-463
DOI
ScienceOn
|
31 |
Koo, J.-Y. (1993). 'Optimal rates of convergence for nonparametric statistical inverse problems', The Annals of Statistics, 21, 590-599
DOI
ScienceOn
|
32 |
Koo, J.-Y. AND CHUNG, H. Y. (1998). 'Log-density estimation in linear inverse problems', The Annals of Statistics, 26, 335-362
DOI
ScienceOn
|