Rozdělení vzdálenosti mezi body
| Thesis title in Czech: | Rozdělení vzdálenosti mezi body |
|---|---|
| Thesis title in English: | Distribution of interpoint distances |
| Key words: | Euklidovská vzdálenost; multinomické rozdělení; test dobré shody |
| English key words: | Euclidean distance; multinomial distribution; goodness-of-fit test |
| Academic year of topic announcement: | 2019/2020 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | čeština |
| Department: | Department of Probability and Mathematical Statistics (32-KPMS) |
| Supervisor: | doc. RNDr. Zdeněk Hlávka, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 09.10.2019 |
| Date of assignment: | 09.10.2019 |
| Confirmed by Study dept. on: | 21.11.2019 |
| Date and time of defence: | 16.09.2020 09:00 |
| Date of electronic submission: | 29.07.2020 |
| Date of submission of printed version: | 29.07.2020 |
| Date of proceeded defence: | 16.09.2020 |
| Opponents: | doc. RNDr. Arnošt Komárek, Ph.D. |
| Guidelines |
| Uchazeč srozumitelně a matematicky korektně představí odvození rozdělení vzdálenosti mezi multinomickými rozděleními (Modarres, 2018) a popíše možné praktické aplikace. |
| References |
| Berrendero, J. R., Cuevas, A., & Pateiro-López, B. (2016). Shape classification based on interpoint distance distributions. Journal of Multivariate Analysis, 146, 237-247.
Jurečková, J., & Kalina, J. (2012). Nonparametric multivariate rank tests and their unbiasedness. Bernoulli, 229-251. Marozzi, M. (2015). Multivariate multidistance tests for high‐dimensional low sample size case‐control studies. Statistics in Medicine, 34(9), 1511-1526. Modarres, R. (2014). On the interpoint distances of Bernoulli vectors. Statistics & Probability Letters, 84, 215-222. Modarres, R. (2018). Multinomial interpoint distances. Statistical Papers, 59(1), 341-360. Tebaldi, P., Bonetti, M., & Pagano, M. (2011). M statistic commands: Interpoint distance distribution analysis. Stata Journal, 11(2), 271. |