New insights on concentration inequalities for self-normalized martingales
Idioma
en
Article de revue
Este ítem está publicado en
Electronic Communications in Probability. 2019, vol. 24
Institute of Mathematical Statistics (IMS)
Resumen en inglés
We propose new concentration inequalities for self-normalized martingales. The main idea is to introduce a suitable weighted sum of the predictable quadratic variation and the total quadratic variation of the martingale. ...Leer más >
We propose new concentration inequalities for self-normalized martingales. The main idea is to introduce a suitable weighted sum of the predictable quadratic variation and the total quadratic variation of the martingale. It offers much more flexibility and allows us to improve previous concentration inequalities. Statistical applications on autoregressive process, internal diffusion-limited aggregation process, and online statistical learning are also provided.< Leer menos
Palabras clave en inglés
concentration inequalities
martingales
autoregressive process
statistical learning
Orígen
Importado de HalCentros de investigación