Multivariate locally adaptive density estimation

Computational Statistics and Data Analysis

Volumn 39, Issue 2, 2002, Pages 165-186

  Sain, Stephan R ^a  

^a SOUTHERN METHODIST UNIVERSITY   (United States)

Author keywords

Binning; Cross validation; Mean integrated squared error; Smoothing matrix; Variable bandwidth kernel

Indexed keywords

BANDWIDTH; COMPUTER SIMULATION; ESTIMATION;

PARAMETERIZATION;

STATISTICAL METHODS;

MULTIVARIATE ANALYSIS;

EID: 0037188235     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(01)00053-6     Document Type: Article

References (46)

1. On bandwidth variation in kernel estimates - A square root law
2. Arbitrariness of the pilot estimator in adaptive kernel methods
3. An alternative method of cross-validation for the smoothing of density estimates
4. Variable kernel estimates of multivariate densities
5. SiZer for exploration of structures in curves
6. Variable kernel estimates: On the impossibility of tuning the parameters
7. Projection pursuit regression
8. The influence of rounding errors on some nonparametric estimators of a density and its derivatives
9. On near neighbor estimates of a multivariate density
10. On global properties of variable bandwidth density estimators
11. On the accuracy of binned kernel density estimators
12. Variable window width kernel estimates
13. Improved variable window kernel estimates of probability densities
14. Smoothing by weighted averaging of rounded points
15. Bias annihilating bandwidths for local density estimates
16. Variable kernel density estimates and variable kernel density estimates
17. A nonparametric estimate of a multivariate density function
18. A note on the bias reduction in variable kernel density estimates
19. Multivariate K-nearest neighbor density estimates
20. Filtered kernel density estimation
21. Exact mean integrated squared error
22. The mode tree: A tool for visualization of nonparametric density features
23. Adaptive mixtures
24. Empirical choice of histogram and kernel density estimators
25. Cross-validation of multivariate densities
26. Outlier detection from a mixture distribution when training data are unlabeled
27. On locally adaptive density estimation
28. Zero-bias locally adaptive density estimators
29. Plasma lipids as collateral risk factors in coronary heart disease - A study of 371 males with chest pain
30. Kernel density estimation with binned data
31. Feasibility of multivariate density estimates
32. A reliable data-based bandwidth selection method for kernel density estimation
33. Kernel density estimation using the fast fourier transform
34. Variable kernel density estimation
35. Data-driven view selection: Agglomeration and sharpening
36. Fast computation of multivariate kernel estimators
37. Comparison of smoothing parameterizations in bivariate kernel density estimation
38. Multivariate plug-in bandwidth selection
39. Optimal smoothing parameters for multivariate fixed and adaptive kernel methods