SPMS 2024

Session

Stochastic Monitoring Systems

23 Jun 2024, 15:20

Dobřichovice

Conveners

Stochastic Monitoring Systems

• František Gašpar

11. Robust Discrimination of Statistical Models I (Theory)

Václav Kůs (KM FJFI CVUT)

23/06/2024, 15:20

This paper investigates the consistency and efficiency of generalized Cramér–von Mises (GCM) minimum distance estimators in the context of statistical estimation, focusing particularly on the L$_1$ norm and the expected L$_1$ norm. It presents new inequality between Kolmogorov and generalized Cramér–von Mises distances, leading to the proof of consistency of Cramér–von Mises estimator with the...

2. Robust Discrimination of Statistical Models II (Simulation & Results)

Václav Kůs (DM FNSPE CTU in Prague)

23/06/2024, 15:40

We enrich the theory of φ-divergences and statistical distances. Specifically, we explore the property of robustness of our measures used, e.g., in defectoscopy classification tasks for constructing new spectral signal attributes or in newly designed classification tree algorithm. Since almost all datasets are surely contaminated by a certain portion of some kind of noise (electronics,...