منابع مشابه
Depth 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 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 کاملClustering Scatter Plots Using Data Depth Measures
Clustering is rapidly becoming a powerful data mining technique, and has been broadly applied to many domains such as bioinformatics and text mining. However, the existing methods can only deal with a data matrix of scalars. In this paper, we introduce a hierarchical clustering procedure that can handle a data matrix of scatter plots. To more accurately reflect the nature of data, we introduce ...
متن کاملInformation estimators for weighted observations
The Shannon information content is a valuable numerical characteristic of probability distributions. The problem of estimating the information content from an observed dataset is very important in the fields of statistics, information theory, and machine learning. The contribution of the present paper is in proposing information estimators, and showing some of their applications. When the given...
متن کاملWeighted halfspace depth
Generalised halfspace depth function is proposed. Basic properties of this depth function including the strong consistency are studied. We show, on several examples that our depth function may be considered to be more appropriate for nonsymetric distributions or for mixtures of distributions.
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: The Annals of Statistics
سال: 2005
ISSN: 0090-5364
DOI: 10.1214/009053604000000922