Hloubka kompozičních dat
| Thesis title in Czech: | Hloubka kompozičních dat |
|---|---|
| Thesis title in English: | Depth of compositional data |
| Key words: | neparametrická statistika|vícerozměrná data|kompoziční data|hloubka |
| English key words: | nonparametric statistics|multivariate data|compositional data|depth |
| Academic year of topic announcement: | 2025/2026 |
| Thesis type: | diploma thesis |
| Thesis language: | |
| Department: | Department of Probability and Mathematical Statistics (32-KPMS) |
| Supervisor: | doc. Mgr. Stanislav Nagy, Ph.D. |
| Author: |
| Guidelines |
| Riešiteľ(ka) sa zoznámi so základmi analýzy kompozičných dát, a preskúma možnosti zavedenia (variánt) klasických hĺbkových funkcií pre prípad pravdepodobnostných rozdelení na simplexe. |
| References |
| Greenacre, M. (2021). Compositional data analysis. Annual Review of Statistics and its Application, 8(1), 271-299.
Pawlowsky-Glahn, V., Egozcue, J. J., & Tolosana-Delgado, R. (2015). Modeling and analysis of compositional data. John Wiley & Sons. Filzmoser, P., Hron, K., & Templ, M. (2018). Applied compositional data analysis. Cham: Springer. Nagy, S. (2025). Halfspace Depth. Wiley Interdisciplinary Reviews: Computational Statistics, 17(3), e70038. Zuo, Y., & Serfling, R. (2000). General notions of statistical depth function. Annals of statistics, 461-482. Dai, X., Lopez-Pintado, S., & Alzheimer’s Disease Neuroimaging Initiative. (2023). Tukey’s depth for object data. Journal of the American Statistical Association, 118(543), 1760-1772. |