Non-Parametric Estimation of a Multivariate Probability Density

Abstract

Previous article Next article Non-Parametric Estimation of a Multivariate Probability DensityV. A. EpanechnikovV. A. Epanechnikovhttps://doi.org/10.1137/1114019PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Emanuel Parzen, On estimation of a probability density function and mode, Ann. Math. Statist., 33 (1962), 1065–1076 MR0143282 0116.11302 CrossrefGoogle Scholar[2] Murray Rosenblatt, Remarks on some nonparametric estimates of a density function, Ann. Math. Statist., 27 (1956), 832–837 MR0079873 0073.14602 CrossrefGoogle Scholar[3] G. M. Manija, Remarks on non-parametric estimates of a two-dimensional density function, Soobšč. Akad. Nauk Gruzin. SSR, 27 (1961), 385–390 MR0143303 Google Scholar[4] E. A. Nadaraya, Estimation of a bivariate probability density, Soobshch. Akad. Nauk Gruz. SSR, 36 (1964), 267–268 Google Scholar[5] R. E. Bellman, , I. Glicksberg and , O. A. Gross, Some aspects of the mathematical theory of control processes, Rand Corporation, Santa Monica, Calif., Rep. No. R-313, 1958rm xix+244 MR0094281 0086.11703 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Kernel-based learning of birth process from evolving spatiotemporal RFS data stream in SMC CPHD filter for multi-target trackingSignal Processing, Vol. 203 Cross Ref Assessing spatial connectivity effects on daily streamflow forecasting using Bayesian-based graph neural networkScience of The Total Environment, Vol. 855 Cross Ref Joint Source-Channel Decoding of Polar Codes for HEVC-Based Video StreamingACM Transactions on Multimedia Computing, Communications, and Applications, Vol. 18, No. 4 Cross Ref A novel structure adaptive new information priority discrete grey prediction model and its application in renewable energy generation forecastingApplied Energy, Vol. 325 Cross Ref A novel structure adaptive fractional discrete grey forecasting model and its application in China’s crude oil production predictionExpert Systems with Applications, Vol. 207 Cross Ref Age-varying effects of repeated emergency department presentations for children in Canada6 May 2022 | Journal of Health Services Research & Policy, Vol. 27, No. 4 Cross Ref Probabilistic adaptive power pinch analysis for islanded hybrid energy storage systemsJournal of Energy Storage, Vol. 54 Cross Ref Should I stay or should I fly? Migration phenology, individual-based migration decision and seasonal changes in foraging behaviour of Common Woodpigeons17 August 2022 | The Science of Nature, Vol. 109, No. 5 Cross Ref Machine learning and optimization based decision-support tool for seed variety selection24 September 2022 | Annals of Operations Research, Vol. 65 Cross Ref Estimating regional income indicators under transformations and access to limited population auxiliary information16 September 2022 | Journal of the Royal Statistical Society: Series A (Statistics in Society), Vol. 37 Cross Ref Automated calibration of model-driven reconstructions in atom probe tomography1 July 2022 | Journal of Physics D: Applied Physics, Vol. 55, No. 37 Cross Ref Point and interval forecasting of ultra-short-term wind power based on a data-driven method and hybrid deep learning modelEnergy, Vol. 254 Cross Ref Deep attention ConvLSTM-based adaptive fusion of clear-sky physical prior knowledge and multivariable historical information for probabilistic prediction of photovoltaic powerExpert Systems with Applications, Vol. 202 Cross Ref The Taxonomy of Mineral Occurrence Rarity and Endemicity21 October 2022 | The Canadian Mineralogist, Vol. 60, No. 5 Cross Ref Estimation of wind speed distribution with time window and new kernel functionJournal of Renewable and Sustainable Energy, Vol. 14, No. 5 Cross Ref Future crop risk estimation due to drought, extreme temperature, hail, lightning, and tornado at the census tract level in louisiana23 August 2022 | Frontiers in Environmental Science, Vol. 10 Cross Ref Translocation detection from Hi‐C data via scan statistics10 August 2022 | Biometrics, Vol. 8 Cross Ref Does restricting therapeutic antibiotics use influence efficiency of pig farms? Evidence from Denmark’s Yellow Card Initiative18 May 2022 | European Review of Agricultural Economics, Vol. 49, No. 4 Cross Ref Computational approach to modeling microbiome landscapes associated with chronic human disease progression4 August 2022 | PLOS Computational Biology, Vol. 18, No. 8 Cross Ref Spillovers between exchange rate pressure and CDS bid-ask spreads, reserve assets and oil prices using the quantile ARDL modelInternational Economics, Vol. 170 Cross Ref Liability Structure and Risk Taking: Evidence from the Money Market Fund Industry18 June 2021 | Journal of Financial and Quantitative Analysis, Vol. 57, No. 5 Cross Ref Security risk assessment of wind integrated power system using Parzen window density estimation6 January 2022 | Electrical Engineering, Vol. 104, No. 4 Cross Ref Predator or prey? Effects of farm growth on neigh