1988
DOI: 10.1002/bimj.4710300745
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Silverman, B. W.: Density Estimation for Statistics and Data Analysis. Chapman & Hall, London – New York 1986, 175 pp., £12.—

Abstract: und W. A. GALE e n t h a b n . W. A. GALE hebt die beiden weeentlichen Entwicklungsrichtungen hervor : Einerseita werden die Methoden der ,,Kunstlichen Intelligenz", die symbolische Infomtionwerarbeitung zur Entscheidungsfindung in der statistischen Probleml~ung, ah3 Werkzeuge eingesetzt. Die bekannten Statktikverfahren wurden hierbei in entaprechende Strategien eingebettet. Andererseita bedient sich die kunstliche Intelligenz zunehmend statistisoher Betrachtungeweiaen, da empirische Beziehungen eine gewisee U… Show more

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Cited by 34 publications
(13 citation statements)
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“…We then took the slope from each lake and calculated the mean slope across all lakes and its 95% confidence interval to test for a statistically significant difference from zero using bootstrapping with 1000 iterations. Slope distributions were displayed using kernel density estimation (Läuter, 1988; Scott, 2015; Sheather & Jones, 1991). A positive mean slope and confidence interval that does not include zero indicated support for our hypothesis that earlier runoff corresponds with lower summer phytoplankton Chl‐ a .…”
Section: Methodsmentioning
confidence: 99%
“…We then took the slope from each lake and calculated the mean slope across all lakes and its 95% confidence interval to test for a statistically significant difference from zero using bootstrapping with 1000 iterations. Slope distributions were displayed using kernel density estimation (Läuter, 1988; Scott, 2015; Sheather & Jones, 1991). A positive mean slope and confidence interval that does not include zero indicated support for our hypothesis that earlier runoff corresponds with lower summer phytoplankton Chl‐ a .…”
Section: Methodsmentioning
confidence: 99%
“…The attribute data of the points included sociodemographic data for informants, and the categories of services (see Table 1). Maps showing the intensity of set points in space were then generated using ArcGIS 10.1 and its kernel density tool (Silverman 1986). The tool allows for the identification of areas on the map in which the density of points is high, or above a certain threshold.…”
Section: Methodsmentioning
confidence: 99%
“…For data that are Gaussian-distributed, thresholds on the likelihood of data modeled by a Gaussian probability distribution, or a mixture of Gaussians using Gaussian Mixture Models (GMM), can be used to identify novel or outlying examples (Chandola et al 2009). Similarly, kernel density estimators (KDE) estimate the probability density of a dataset by assigning individual kernels (e.g., Gaussian kernels) to each data point and summing over all the kernels (Silverman 1986). Dense regions where points are close together will contribute more to the density estimate than points in diffuse regions of the feature space, thus outliers can be identified using a threshold on the likelihood under the learned probability distribution (e.g., Desforges et al 1998;Latecki et al 2007;Ristic et al 2008;Laxhammar et al 2009;Schubert et al 2014).…”
Section: Related Workmentioning
confidence: 99%