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

Thus far, likelihood-based interval estimates for quantiles have not beenstudied in the literature on interval censored case 2 data and partly intervalcensored data, and, in this context, the use of smoothing has not beenconsidered for any type of censored data. This article constructs smoothedweighted empirical likelihood ratio confidence intervals (WELRCI) for quantilesin a unified framework for various types of censored data, including rightcensored data, doubly censored data, interval censored data and partly intervalcensored data. The fourth order expansion of the weighted empiricallog-likelihood ratio is derived and the theoretical coverage accuracy equationfor the proposed WELRCI is established, which generally guarantees at least`first order' accuracy. In particular, for right censored data, we show thatthe coverage accuracy is at least $O(n^{-1/2})$ and our simulation studies showthat in comparison with empirical likelihood-based methods, the smoothing usedin WELRCI generally provides a shorter confidence interval with comparablecoverage accuracy. For interval censored data, it is interesting to find thatwith an adjusted rate $n^{-1/3}$, the weighted empirical log-likelihood ratiohas an asymptotic distribution completely different from that obtained by theempirical likelihood approach and the resulting WELRCI perform favorably in theavailable comparison simulation studies.

Smoothed weighted empirical likelihood ratio confidence intervals for quantiles