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 discuss a bivariate beta distribution that can model arbitrarybeta-distributed marginals with a positive correlation. The distribution isconstructed from six independent gamma-distributed random variates. We show howthe parameters of the distribution can be fit to data using moment matching.Previous work used an approximate and sometimes inaccurate method to computethe covariance. Here, we derive all product moments and the exact covariance,which can easily be computed numerically. The bivariate case can be generalizedto a multivariate distribution with arbitrary beta-distributed marginals.Furthermore, we generalize the distribution from two marginal beta to twomarginal Dirichlet distributions. The resulting correlated Dirichletdistribution makes it possible to model two correlated Dirichlet-distributedrandom vectors.

A Bivariate Beta Distribution with Arbitrary Beta Marginals and its Generalization to a Correlated Dirichlet Distribution