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 consider two independent random variables with the given tail asymptotic(e.g. power or exponential). We find tail asymptotic for their sum and product.This is done by some cumbersome but purely technical computations and requiresthe use of the Laplace method for asymptotic of integrals. We also recall theresults for asymptotic of a self-similar locally stationary centered Gaussianprocess plus a deterministic drift; and we find the asymptotic for the sameprobability after multiplying the drift by a random variable, which isindependent of this process.  Keywords: tail asymptotic, Laplace method, self-similar processes, Gaussianprocesses, locally stationary processes.

Tail Asymptotic of Sum and Product of Random Variables with Applications in the Theory of Extremes of Conditionally Gaussian Processes