Filtered kernel density estimation

Computational Statistics

Volumn 11, Issue 2, 1996, Pages 95-112

  Marchette, David J ^a   Priebe, Carey E ^b   Rogers, George W ^a   Solka, Jeffry L ^b  

^a NAVAL SURFACE WARFARE CENTER   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

Density Estimation; Kernel Estimator; Mixture Models; Multiple Bandwidths

Indexed keywords

EID: 0030534074     PISSN: 09434062     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Abramson, I.S. (1982), "On Bandwidth Variation in Kernel Estimates - A Square Root Law", The Annals of Statistics, 10, 1217-1223.
2. Basak, Subhash C., Grunwald, Gregory D., and Niemi, Gerald J., 1995, "Use of graph theoretical and geometrical molecular descriptors in structure-activity relationships", to appear in 3-D Molecular Structure and Chemical Graph Theory, A. T. Balaban, Ed., New York: Plenum Press.
3. Breiman, L., Meisel, W, and Purcell, E. (1977), "Variable Kernel Estimates of Multivariate Densities", Technometrics, 19, 135-144.
4. Hjort, N.L. and Glad, I.K., (1995) "Nonparametric density estimation with a parametric start", The Annals of Statistics, 23, 882-904.
5. Marron, J.S. and Wand, M.P. (1992), "Exact Mean Integrated Squared Error," The Annals of Statistics, 20, 712-736.
6. Parzen, E. (1962), "On Estimation of a Probability Density Function and Mode," Ann. Math. Statist., 33, 1065-1076.
7. Priebe, C.E., (1994), "Adaptive Mixtures", Journal of the American Statical Association, 89, 796-806.
8. Rogers, G.W., Marchette, D.J., and Priebe, C.E., (1995), "A Procedure for Model Complexity Selection in Semiparametric Mixture Model Density Estimation", to appear in the Proceedings of the 10th International Conference on Math. and Computer Modelling.
9. Rogers, G.W., Priebe, C.E, and Solka, J.L. (1993), "Filtered Kernel Probabilistic Neural Network," SPIE Vol. 1962 Adaptive and Learning Systems II, 242-252.
10. Rosenblatt, M. (1956), "Remarks on some Nonparametric Estimates of a Density Function," Ann. Math. Statist., 27, 832-835.
11. Scott, D.W. (1992), Multivariate Density Estimation, New York: John Wiley.
12. Silverman, B.W. (1986), Density Estimation for Statistics and Data Analysis, New York: Chapman and Hall.
13. Solka, J.L., Wegman, E.J., Priebe, CE., Poston, W.L. and Rogers, C.W., (1996) "A method to determine the structure of an unknown mixture using the Akaike information criterion and the bootstrap", to appear in Statistics and Computing.
14. Terrell, G.R. and D.W. Scott (1992), "Variable Kernel Density Estimation", The Annals of Statistics, 20, 1236-1265.
15. Titterington, D.M., Smith, A.F.M., and Makov, U.E. (1985), Statistical Analysis of Finite Mixture Distributions, New York: John Wiley.
16. Wand, M.P., and Jones, M.C., (1995), Kernel Smoothing, London, Chapman &Hall.
17. Wand, M.P., Marron, J.S., and Ruppert, D. (1991), "Transformation in Density Estimation," Journal of the American Statical Association, 86, 343-361.