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/

Global: Zendy Plus annual

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

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We establish sufficient conditions for the existence, and derive explicitformulas for the $\kappa$'th moments, $\kappa \geq 1$, of Markov modulatedgeneralized Ornstein-Uhlenbeck processes as well as their stationarydistributions. In particular, the running mean, the autocovariance function,and integer moments of the stationary distribution are derived in terms of thecharacteristics of the driving Markov additive process. Our derivations rely onnew general results on moments of Markov additive processes and(multidimensional) integrals with respect to Markov additive processes.

On moments of integrals with respect to Markov additive processes and of Markov modulated generalized Ornstein-Uhlenbeck processes