English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

For a Harris ergodic Markov chain $(X_n)_{n\ge 0}$, on a general state space,started from the so called small measure or from the stationary distribution weprovide optimal estimates for Orlicz norms of sums $\sum_{i=0}^\tau f(X_i)$,where $\tau$ is the first regeneration time of the chain. The estimates areexpressed in terms of other Orlicz norms of the function $f$ (wrt thestationary distribution) and the regeneration time $\tau$ (wrt the smallmeasure). We provide applications to tail estimates for additive functionals ofthe chain $(X_n)$ generated by unbounded functions as well as to classicallimit theorems (CLT, LIL, Berry-Esseen).

Orlicz integrability of additive functionals of Harris ergodic Markov chains