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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We consider a class of perpetuities which admit direct characterization ofasymptotics of the key truncated moment. The class contains perpetuitieswithout polynomial decay of tail probabilities and thus not satisfying Kesten'stheorem. We show how to apply this result in deriving a new weak law of largenumbers for solutions to stochastic recurrence equations and a new centrallimit theorem for GARCH(1,1) processes in the critical case.

Truncated moments of perpetuities and a new central limit theorem for GARCH processes without Kesten's regularity