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 describe a new recentered confidence sphere for the mean, theta, of amultivariate normal distribution. This sphere is centred on the positive-partJames-Stein estimator, with radius that is a piecewise cubic Hermiteinterpolating polynomial function of the norm of the data vector. This radiusfunction is determined by numerically minimizing the scaled expected volume, attheta = 0, of this confidence sphere, subject to the coverage constraint. Weuse the computationally-convenient formula, derived by Casella and Hwang [3],for the coverage probability of a recentered confidence sphere. Casella andHwang, op. cit., describe a recentered confidence sphere that is also centredon the positive-part James-Stein estimator, but with radius function determinedby empirical Bayes considerations. Our new recentered confidence spherecompares favourably with this confidence sphere, in terms of both the minimumcoverage probability and the scaled expected volume at theta = 0.

A new recentered confidence sphere for the multivariate normal mean