The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Variable Kernel Estimates of Multivariate Densities
Abstract
A class of density estimates using a superposition of kernels where the kernel parameter can depend on the nearest neighbor distances is studied by the use of simulated data. Their performance using several measures of error is superior to that of the usual Parzen estimators. A tentative solution is given to the problem of calibrating the kernel peakedness when faced with a finite sample set.
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“When a kernel estimator uses θ K θ Q , it is known as a balloon estimator [14].Papers such as Breiman et al. [10] have even used θ Q as a function of x ′ , known as sample-adaptive smoothing.”
From Learning to (Learn at Test Time): RNNs with Expressive Hidden States (2024) · cites this paper as Breiman et al. [10]
Citations
Cites
On Estimation of a Probability Density Function and Mode
Parzen, E. (1962) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177704472 · Cited by 10,831
An Algorithm for Finding Best Matches in Logarithmic Expected Time
Friedman, J. H., Bentley, J. L., & Finkel, R. A. (1977) · ACM Transactions on Mathematical Software · doi:10.1145/355744.355745 · Cited by 2,802
A Nonparametric Estimate of a Multivariate Density Function
Loftsgaarden, D. O., & Quesenberry, C. P. (1965) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177700079 · Cited by 800
Nonparametric probability density estimation
Tapia, R. A., & Thompson, J. (1978) · Cited by 454
Characterization of cyclostationary random signal processes
Gardner, W. A., & Franks, L. (1975) · IEEE Transactions on Information Theory · doi:10.1109/tit.1975.1055338 · Cited by 424
Patterns in pattern recognition: 1968-1974
Kanal, L. N. (1974) · IEEE Transactions on Information Theory · doi:10.1109/tit.1974.1055306 · Cited by 282
Nonparametric Probability Density Estimation: I. A Summary of Available Methods
Wegman, E. J. (1972) · Technometrics · doi:10.1080/00401706.1972.10488943 · Cited by 237
Frontiers of Pattern Recognition
(1972) · Elsevier eBooks · doi:10.1016/c2013-0-11670-4 · Cited by 237
Nonparametric estimates of probability densities
Wagner, T. J. (1975) · IEEE Transactions on Information Theory · doi:10.1109/tit.1975.1055408 · Cited by 65
A HIERARCHY OF PROBABILITY DENSITY FUNCTION ESTIMATES
Cover, T. M. (1972) · Elsevier eBooks · doi:10.1016/b978-0-12-737140-5.50010-5 · Cited by 20
Research works printed but not linked: 2
- Breiman L., 1975, J. Amer. Statist. Assoc.
- Meisel, W. “The Complete Pattern Recognition Algorithm”. 8th Annual Symposium on the Interface Between Computer Science and Statistics, Health Sciences Computing Facility, UCLA.
Cited by
Sorted by citations
A general regression neural network
Specht, D. F. (1991) · IEEE Transactions on Neural Networks · doi:10.1109/72.97934 · Cited by 4,505
Kernel Methods for Estimating the Utilization Distribution in Home‐Range Studies
Worton, B. J. (1989) · Ecology · doi:10.2307/1938423 · Cited by 4,185
Wavelet Shrinkage: Asymptopia?
Donoho, D. L., Johnstone, I. M., Kerkyacharian, G., & Picard, D. (1995) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.2517-6161.1995.tb02032.x · Cited by 1,752
An Evaluation of the Accuracy of Kernel Density Estimators for Home Range Analysis
Seaman, D. E., & Powell, R. A. (1996) · Ecology · doi:10.2307/2265701 · Cited by 1,672
On the visualisation of detrital age distributions
Vermeesch, P. (2012) · Chemical Geology · doi:10.1016/j.chemgeo.2012.04.021 · Cited by 1,566
Metadata
- Authors
- Breiman, L., Meisel, W., & Purcell, E.
- Affiliations
- Technology Service Corporation (United States) (US)
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1977-05
- Volume
- 19
- Issue
- 2
- Pages
- 135-144
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W2008572210
- Cited by
- 488
- References
- 10
- Citations by year
- 2026: 6 · 2025: 9 · 2024: 8 · 2023: 18 · 2022: 11 · 2021: 17 · 2020: 10 · 2019: 14 · 2018: 13 · 2017: 13 · 2016: 13 · 2015: 30 · 2014: 13 · 2013: 14 · 2012: 16
- FWCI
- 3.51
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Technometrics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Keywords
- multivariate density estimation, nearest neighbor distance, finite-sample estimation
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