Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.08721 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915649988591616 |
|---|---|
| author | Ofner, Maximilian Hörmann, Siegfried Kraus, David Liebl, Dominik |
| author_facet | Ofner, Maximilian Hörmann, Siegfried Kraus, David Liebl, Dominik |
| contents | We consider functional data which have only been observed on a subset of their domain. This paper aims to develop statistical tests to determine whether the function and the domain over which it is observed are independent. The assumption that data is missing completely at random (MCAR) is essential for many functional data methods handling incomplete observations. However, no general testing procedures have been established to validate this assumption. We address this critical gap by introducing a testing framework which is generally based on a partition of the observation patterns. Besides deterministic partitions, we also consider a data-driven approach based on clustering. We establish asymptotic results for our tests and illustrate the methodology in several real data applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Testing the Missing Completely at Random Assumption for Functional Data Ofner, Maximilian Hörmann, Siegfried Kraus, David Liebl, Dominik Methodology We consider functional data which have only been observed on a subset of their domain. This paper aims to develop statistical tests to determine whether the function and the domain over which it is observed are independent. The assumption that data is missing completely at random (MCAR) is essential for many functional data methods handling incomplete observations. However, no general testing procedures have been established to validate this assumption. We address this critical gap by introducing a testing framework which is generally based on a partition of the observation patterns. Besides deterministic partitions, we also consider a data-driven approach based on clustering. We establish asymptotic results for our tests and illustrate the methodology in several real data applications. |
| title | Testing the Missing Completely at Random Assumption for Functional Data |
| topic | Methodology |
| url | https://arxiv.org/abs/2505.08721 |