Multivariate Dispersion, Central Regions, and Depth
By Karl Mosler. 2002
116 citations recorded by the source corpus.
Subfields: Environmental Engineering, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/42b92ea2c365ab6a3ee80b4a6f4a7b6b0afd49a0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Environmental Engineering
- Probal Chaudhuri
- Anirvan Chakraborty
- Anil Kumar Ghosh
- Francesca Molinari
- Arie Beresteanu
- Pavlo Mozharovskyi
In Statistics and Probability
- Anirvan Chakraborty
- Probal Chaudhuri
- Francesca Molinari
- Arie Beresteanu
- Anil Kumar Ghosh
- Pavlo Mozharovskyi
- Daniel Hug
- Karl Mosler
Citations in the corpus
- OPERATIONS BETWEEN SETS IN GEOMETRY (2012, background): “inkowski sums of line segments) alone have found application in stochastic geometry [46, Section 4.6], random determinants [47], Hilbert’s fourth problem [4], data analysis and mathematical economics [39], and mathematical finance [38]. The classic treatise of Schneider [45] provides a detailed surve”
- Asymptotic Properties for a Class of Partially Identified Models (2006, methodology): “…10The lift zonoid is a mathematical concept introduced by Bolker (1969) and used in Economics by Koshevoy & Mosler (1996) to extend the notions of the Lorenz curve and the Lorenz order to several attributes (for a monograph on the lift zonoid and its applications in Economics see Mosler (2002)).”
- On data depth in infinite dimensional spaces (2014, methodology): “Depth-weighted L-type location estimators like trimmed means have been considered in Liu (1990), Donoho and Gasko (1992), Liu et al. (1999), Fraiman and Muniz (2001), Mosler (2002) and Zuo (2006).”
- On Maximum Depth and Related Classifiers (2005, methodology): “Various other well-known depth functions such as likelihood depth, convex hull peeling depth and zonoid depth have been studied by Liu et al. (1999), Zuo & Serfling (2000a,b), Mosler (2002) and Mizera (2002).”
- Choosing Among Notions of Multivariate Depth Statistics (2020, background): “Mahalanobis depth, being a continuous function of moments, obviously satisfies a Law of Large Numbers; the same holds for halfspace depth (Donoho and Gasko, 1992), simplicial depth (Dümbgen, 1992), and zonoid depth (Mosler, 2002, Th. 4.6).”