Projection based scatter depth functions and associated scatter estimators
نویسندگان
چکیده
منابع مشابه
Projection based scatter depth functions and associated scatter estimators
A class of projection based scatter depth functions is introduced and studied. In order to use the depth function effectively, some favorable properties are suggested for the common scatter depth functions. We show the proposed scatter depth totally satisfies these desirable properties and its sample version possess strong and √ n uniform consistency. Under some regularity conditions, the limit...
متن کاملDepth Weighted Scatter Estimators
The Annals of Statistics 0, Vol. 0, No. 0, 1–33 DOI 10.1214/009053604000000922 © Institute of Mathematical Statistics, 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 DEPTH WEIGHTED SCATTER ESTIMATORS BY...
متن کاملProjection - Based Depth Functions and Associated Medians
A class of projection-based depth functions is introduced and studied. These projection-based depth functions possess desirable properties of statistical depth functions and their sample versions possess strong and order √ n uniform consistency. Depth regions and contours induced from projection-based depth functions are investigated. Structural properties of depth regions and contours and gene...
متن کاملTwo-dimensional locality preserving projection based on Maximum Scatter Difference ⋆
In this paper, we propose a Two-dimensional locality preserving projection based on maximum scatter difference (2D-DLPP/MSD). 2D-LPP/MSD use additive principle to preserve the locality by maximizing the between-class scatter and within-class scatter instead of using multiplicative principle of 2D-DLPP. Theoretically, we also discuss the influence of balance factor α on performance and reveal th...
متن کاملNonparametric Notions of Multivariate \scatter Measure" and \more Scattered" Based on Statistical Depth Functions
Nonparametric notions of multivariate \scatter measure" and \more scattered", based on statistical depth functions, are investigated. In particular, notions of \more scattered" based on the \halfspace" depth function are shown to generalize versions introduced by Bickel and Lehmann (1976, 1979) in the univariate case and by Eaton (1982) and Oja (1983) in the multivariate case. Scatter measures ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 2010
ISSN: 0047-259X
DOI: 10.1016/j.jmva.2009.06.004