Constructions for a bivariate beta distribution
Copyright policy )Constructions for a bivariate beta distribution
The beta distribution is a basic distribution serving several purposes. It is used to model data, and also, as a more flexible version of the uniform distribution, it serves as a prior distribution for a binomial probability. The bivariate beta distribution plays a similar role for two probabilities that have a bivariate binomial distribution. We provide a new multivariate distribution with beta marginal distributions, positive probability over the unit square, and correlations over the full range. We discuss its extension to three or more dimensions.
10 pages, 1 table, 1 figure
- Brown University United States
- Department of Health Services United States
- Department of Statistics Stanford University United States
- Stanford University United States
FOS: Computer and information sciences, Measures of association (correlation, canonical correlation, etc.), bivariate families, Bayesian analysis, Dirichlet distribution, Mathematics - Statistics Theory, Statistics Theory (math.ST), Methodology (stat.ME), bivariate beta distribution, Characterization and structure theory of statistical distributions, FOS: Mathematics, Statistics - Methodology, hypergeometric functions
FOS: Computer and information sciences, Measures of association (correlation, canonical correlation, etc.), bivariate families, Bayesian analysis, Dirichlet distribution, Mathematics - Statistics Theory, Statistics Theory (math.ST), Methodology (stat.ME), bivariate beta distribution, Characterization and structure theory of statistical distributions, FOS: Mathematics, Statistics - Methodology, hypergeometric functions
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).41 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!