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Alpha/Beta Divergences and Tweedie Models
Tweedie distributions variance functions alpha/betadivergences deviance.
2012/11/22
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.
Graver basis for an undirected graph and its application to testing the beta model of random graphs
Markov basis Markov chain Monte Carlo Rasch model toric ideal
2011/3/21
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...
Generalized Species Sampling Priors with Latent Beta reinforcements
Statistics Theory (math.ST) Learning (cs.LG) Methodology (stat.ME)
2010/12/17
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/gamma-Poisson regression models for repeated counts with random parameters
bivariate counts longitudinal data overdispersion random effects regressionmodels
2010/3/11
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...
On Beta-Product Convolutions
Weyl fractional-order integral operator Williamson d-transform random scaling weighted Dirichlet distribution elliptical distribution
2010/3/9
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...
Minimax properties of beta kernel density estimators
Beta Kernel Density Minimax estimation
2010/3/9
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...
本文研究了随机回收率的分布,建立了回收率的双Beta分布密度模型,它具有双峰分布的特点,这与Moody公司的最新研究相吻合,弥补了现有回收率分布模型均为单峰的不足。利用基于数论网格的序贯优化算法对所建模型的参数做出了估计,借助于核密度估计的工具,进行了实证分析,结果表明双Beta模型的拟合误差很小,远小于Beta模型的误差,它是表示回收率理想的模型。最后给出了抽取双Beta分布随机数的方法。
Some remarks on S alpha S,beta - substable random vectors
Symmetric u-stable vector substable distributions spectral measure
2009/9/21
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...
Beta Transformation. Beta Type Self Decomposability and Related Characterizations
Beta Transformation Beta Type Self Decomposability Related Characterizations
2009/9/18
Beta Transformation.Beta Type Self Decomposability and Related Characterizations。
Improved Maximum Likelihood Estimation in a New Class of Beta Regression Models
Maximum Likelihood Estimation a New Class Beta Regression Models
2009/9/17
Improved Maximum Likelihood Estimation in a New Class of Beta Regression Models。
Noncentral, Nonsingular Matrix Variate Beta Distribution
Noncentral Nonsingular Matrix Variate Beta Distribution
2009/9/17
Noncentral, Nonsingular Matrix Variate Beta Distribution。
Beta Jacobi processes
Jacobi processes strong uniqueness principal Weyl alcove root system of type BC hittining time
2010/3/17
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 ...
Robust estimation and forecasting for beta-mixed hierarchical models of grouped binary data
grouped binary data distortions hierarchical models beta-binomial beta-logistic robust estimation forecasting
2009/2/23
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 ...