[PDF] Tukeys Depth for Object Data 1 сент. 2021 г. For multivariate Euclidean

Tukey depth: linear programming and applications arXiv

29 февр. 2016 г. Keywords: Tukey depth; Linear programming; Cone segmentation; Breadth- first search algorithm; Exact computation; Simplex algorithm. 1 ...

An Optimal Randomized Algorithm for Maximum Tukey Depth

We are interested in finding a Tukey median that is

On Generalization and Computation of Tukeys Depth: Part I

1 июл. 2021 г. 2018; Gao 2020) Tukey-type depths suffer some serious issues that hinder their usage in real-life multivariate data. Perhaps the biggest ...

A Simple Heuristic for the Graph Tukey Depth Problem with Potential

Abstract. We study a recently introduced adaptation of Tukey depth to graphs and discuss its algorithmic properties and potential applications to mining and 

Exact computation of the halfspace depth arXiv:1411.6927v3 [stat

12 янв. 2016 г. Keywords: Tukey depth; Exact algorithm; Projection; Combinatorial algorithm; Orthogonal complement. 1 Introduction. In 1975 John W. Tukey ...

Some intriguing properties of Tukeys half-space depth

5 янв. 2012 г. The Tukey median the multivariate median associated with the half-space depth

Asymptotics for the Tukey Depth Process with an Application to a

Tukey depth process and that of the empirical simplicial depth process. For any F it is known that the latter is asymptotically Gaussian (Arcones and Gin6 

The Tukey Depth Characterizes the Atomic Measure

12 февр. 2002 г. depth we will call it the Tukey depth. In detail

On the quality of randomized approximations of Tukeys depth arXiv

20 окт. 2023 г. Abstract. Tukey's depth (or halfspace depth) is a widely used measure of centrality for multivariate data. However exact computation of ...

Tukey depth: linear programming and applications arXiv

Feb 29 2016 Here the issue of exact computation of the classical Tukey data depth is addressed. The paper suggests an algo- rithm that exploits connection ...

Estimating Tukey Depth Using Incremental Quantile Estimators arXiv

Jan 8 2020 The suggested algorithm can estimate depth contours when the dataset in known in advance

Tukeys Depth for Object Data

Sep 1 2021 For multivariate Euclidean data

Output-Sensitive Algorithms for Tukey Depth and Related Problems

Keywords: Tukey depth halfspace depth

Concentration of the empirical level sets of Tukeys halfspace depth

Abstract: Tukey's halfaspace depth has attracted much interest in data analysis because it is a natural way of measuring the notion of depth.

The Random Tukey Depth

Jan 28 2008 Key words and phrases: Random Tukey depth

On Generalization and Computation of Tukeys Depth: Part I

Jul 1 2021 Keywords: Tukeyfication

An Optimal Randomized Algorithm for Maximum Tukey Depth

We are interested in finding a Tukey median that is

58 COMPUTATION OF ROBUST STATISTICS: DEPTH MEDIAN

Tukey median: Median based on halfspace depth. HALFSPACE LOCATION DEPTH. Let Xn = {x1

Fast computation of Tukey trimmed regions and median in

Nov 8 2018 To calculate the Tukey depth d(x

PX ) of a point x

 ...

On Generalization and Computation of Tukey’s Depth: Part I

Tukey’s depth o?ers a powerful tool for nonparametric inference andestimationbutalsoencountersseriouscomputationalandmethod-ological di?culties in modern statistical data analysis This paper studies how to generalize and compute Tukey-type depths in multi-dimensions A general framework of in?uence-driven polished sub-

The following data (in increasing order) for the attribute age: 13 15

IfPis absolutely continuous the Tukey depth is a continuous functionof zachieving maximum value of 1 for angularly symmetric distributions at 2 the center of symmetry IfPhas no Lebesgue density the Tukey depth is adiscrete function of zand can have a non-unique maximum

File:Tukey's halfspace depthpdf - Wikimedia Commons

Jan 22 2022 · File:Tukey's halfspace depth pdf From Wikimedia Commons the free media repository File File history File usage on Commons File usage on other wikis Metadata Size of this JPG preview of this PDF file: 627 × 599 pixels Other resolutions: 251 × 240 pixels 502 × 480 pixels 803 × 768 pixels 1229 × 1175 pixels

What is the Tukey method?

The Tukey method: Calculate the data's interquartile range (IQR), and consider any data point that is more than 1.5 times the IQR below or above the first quartile to be an outlier. Visual examination: Plot the data and look for any values that seem out of place with the rest of the data.

What is the significance level of the Tukey procedure?

For example, when using the Tukey procedure with a significance level of, say, 5%, we are assured that there is at most a 5% chance of obtaining a false positive among the entire set of pairwise tests, That is, there is at most a 5% chance of mistakenly concluding that two population means differ when, in fact, they are equal.

What is the Tukey outer fence methodology?

Building on past comments, CMS proposes to use a statistical methodology known as the Tukey outer fence methodology to identify and delete outliers.

What are the different editions of Tukey's exploratory data analysis?

Exploratory Data Analysis 1 (limited preliminary edition). Addison-Wesley, Reading, MA. TUKEY, J. W. (1970d). Exploratory Data Analysis 2 (limited preliminary edition). Addison-Wesley, Reading, MA. TUKEY, J. W. (1971a).