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117 195 (0,152s) •

Result

Depth-Based Recognition of Shape Outlying Functions

A major drawback of many established depth functionals is their ineffectiveness of functional depth is proposed to provide a remedy for this difficulty. The modification of the original depths for func...

Statistics and probability

  • 2017
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  • Jimp
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  • Link
Result

Integrated data depth for smooth functions and its application in supervised classification

This paper concerns depth functions suitable for smooth functional data. We suggest a modification of the integrated data depth that takes into account the shape and realdata sets. As the proposed depth

BA - Obecná matematika

  • 2015
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  • Jx
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  • Link
Result

Consistency of non-integrated depths for functional data

In the analysis of functional data, the concept of data depth is of importance. Strong consistency of a sample version of a data depth is among the basic statistical popular types of functional depth: the ...

BA - Obecná matematika

  • 2015
    • •
  • Jx
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  • Link
Result

Integrated depth for functional data: statistical properties and consistency

Several depths suitable for infinite-dimensional functional data of projections. In this paper, a general class of integrated depths for functions is considered. Several depths for functional data...

BA - Obecná matematika

  • 2016
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  • Jx
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  • Link
Result

WEIGHTED 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 ...

BA - Obecná matematika

  • 2010
    • •
  • Jx
Result

Integrated depth for measurable functions and sets

Measurability, and uniform strong consistency of the integrated depths for functional data are established for the case when the random functions are Borel measurable. First consistent depths applicable to set-valu...

Statistics and probability

  • 2017
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  • Jimp
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  • Link
Result

Flexible integrated functional depths

This paper develops a new class of functional depths. A generic member of this class is coined Jth order kth moment integrated depth. It is based on the distribution of the cross-sectional halfspace depth of a ...

Statistics and probability

  • 2021
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  • Jimp
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  • Link
Result

Depth for Vector-Valued Functions

Data depth is a nonparametric statistical tool applicable to multi-dimensional observations. In the contribution a depth suitable for vector-valued functional (infi nite-dimensional) data of one variable is advanced. Its co...

BA - Obecná matematika

  • 2013
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  • D
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  • Link
Result

An overview of consistency results for depth functionals

consistency results for most of the depths for functional data is given. Extensions of this theory towards random surfaces, imperfectly observed, and discontinuous functionalData depth is a nonparametric tool whic...

Statistics and probability

  • 2017
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  • D
    • •
  • Link
Result

On the Consistency of Depth Functionals

Lately, a simple depth of infimal type for functional data has been proposed in the literature, but the consistency of the sample version has not been established yet, and show that these cannot be weakened substantially. Connection...

BA - Obecná matematika

  • 2014
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  • D
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