2021 / December Volume 16 No.4
Some Characteristics of the Conditional Set-Indexed Empirical Process Involving Functional Ergodic Data
| Published Date |
2021 / December
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|---|---|
| Title | Some Characteristics of the Conditional Set-Indexed Empirical Process Involving Functional Ergodic Data |
| Author | |
| Keyword | |
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| Pagination | 367-399 |
| Abstract | The purpose of this paper is to establish the invariance principle for the conditional
set-indexed empirical process formed by functional ergodic random variables. The limit
theorems, discussed in this paper, are key tools for many further developments in functional
data analysis involving empirical process techniques. These results are proved under some
standard structural conditions on the Vapnik-Chervonenkis classes of functions and some
mild conditions on the model.
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| DOI | |
| AMS Subject Classification |
62G20, 62G10, 62M15
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| Received |
2021-12-02
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| Accepted |
2021-12-21
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