The application of Mahalanobis distance to the delineation of multivariate outliers in the East Kunlun Mountains
GENG Guo-Shuai1,2(), YANG Fan3,4()
1. School of Earth Sciences and Resources, China University of Geosciences, Beijing 100083, China 2. Geophysical Survey Center, China Geological Survey, Langfang 065000, China 3. Beijing Institute of Geology for Mineral Resources, Beijing 100012, China 4. Research Center of Geochemical Survey and Assessment on Land Quality, China Geological Survey, Langfang 065000, China
Mahalanobis distance is a multivariate outlier detection method. At present, there are many outlier detection methods based on Mahalanobis distance. The purpose of this paper is to compare the advantages/disadvantages of various Mahalanobis distances in identifying multivariate outliers and to select a more suitable method for identifying multivariate anomalies. The authors selected 1∶500 000 stream sediment data in the East Kunlun Mountains of Qinghai Province to compare the effects of four methods: classical Mahalanobis distance, robust Mahalanobis distance based on minimum variance determinant (FMCD), robust mahalanobis distance based on Adaptive minimum variance determinant (Adaptive), and robust mahalanobis distance based on Comedian (Comedian) in identifying Cu, Co, Cr, Ni, V, Fe; Cd, Cu, Mo, Pb, Zn, Ag and three association outliers of Au, As, Sb. The result shows that the Comedian method is the superior, while the classical method is the worst. So Comedian method is the most effective multivariate outlier detection method in this area.
耿国帅, 杨帆. 马氏距离法在东昆仑东段多元异常圈定中的对比试验[J]. 物探与化探, 2021, 45(2): 440-449.
GENG Guo-Shuai, YANG Fan. The application of Mahalanobis distance to the delineation of multivariate outliers in the East Kunlun Mountains. Geophysical and Geochemical Exploration, 2021, 45(2): 440-449.
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