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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We conduct a comparative analysis of the constants in the Nagaev–Bikelis and Bikelis–Petrov inequalities that establish non-uniform estimates of the rate of convergence in the central limit theorem for sums of independent random variables possessing finite absolute moments of order 2 + δ with δ ∈ [0, 1]. We provide lower bounds for the above constants and also for the constants in the structural improvements of Nagaev–Bikelis’ inequality. The lower bounds in Nagaev–Bikelis’ inequality and its structural improvements are given as a function of δ and a structural parameter s as well as uniform with respect to both δ and s. Lower bounds for the constants in Nagaev–Bikelis’ with δ < 1 and Bikelis–Petrov’s inequalities are presented for the first time.

Lower Bounds for the Constants in Non-Uniform Estimates of the Rate of Convergence in the CLT