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We describe the underlying probabilistic interpretation of alpha and beta divergences. We first show that beta divergences are inherently tied to Tweedie distributions, a particular type of exponentia...
The beta-Bernoulli process provides a Bayesian nonparametric prior for models involving collections of binary-valued features.
In this paper we give an explicit and algorithmic description of Graver basis for the toric ideal associated with a simple undirected graph and apply the basis for testing the beta model of random gra...
Many popular Bayesian Nonparametric priors can be characterized in terms of exchangeable species sampling sequences. One example is the Dirichlet Process prior, that has been increasingly used for mod...
Beta-binomial/Poisson models have been used by many authors to model multivariate count data. Lora and Singer (Statistics in Medicine, 2008) extended such models to accommodate repeated multivariate...
Let R be a positive random variable independent of S which is beta distributed. In this paper we are interested on the relation between the distribution function of R and that of RS. For this model w...
In this paper, we are interested in the study of beta kernel estimators from an asymptotic minimax point of view. It is well known that beta kernel estimators are—on the contrary of classical kernel...
An SorS random vector X is pserbstable, or < fl d 2, if X: YeiM for some symmetric /?-stable random vector Y, 8 3 0 a random variable with the Laplace transform exp {-@), Y and B are independent. W...
Improved Maximum Likelihood Estimation in a New Class of Beta Regression Models。
A Ф1-Beta Distribution     Ф1-Beta  Distribution       2009/9/17
A Ф1-Beta Distribution。
Noncentral, Nonsingular Matrix Variate Beta Distribution。
We define and study a [0, 1]m-valued process depending on three positive real parameters p, q, that specializes for = 1, 2 to the eigenvalues process of the real and complex matrix Jacobi processes ...
The paper focuses on robust estimation and forecasting techniques for grouped binary data with misclassified responses. It is assumed that the data are described by the beta-mixed hierarchical model ...
This paper considers the issue of modeling fractional data observed on [0,1), (0,1] or [0,1]. Mixed continuous-discrete distributions are proposed. The beta distribution is used to describe the cont...

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