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Related papers: A quantile-based bivariate distribution

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Solutions of the bivariate, linear errors-in-variables estimation problem with unspecified errors are expected to be invariant under interchange and scaling of the coordinates. The appealing model of normally distributed true values and…

Statistics Theory · Mathematics 2012-02-07 David Leonard

We discuss a general method to construct correlated binomial distributions by imposing several consistent relations on the joint probability function. We obtain self-consistency relations for the conditional correlations and conditional…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. Hisakado , K. Kitsukawa , S. Mori

For exchangeable data, mixture models are an extremely useful tool for density estimation due to their attractive balance between smoothness and flexibility. When additional covariate information is present, mixture models can be extended…

Methodology · Statistics 2023-08-01 Sara Wade , Vanda Inacio , Sonia Petrone

In this work we present full Bayesian inference for a new flexible nonseparable class of cross-covariance functions for multivariate spatial data. A Bayesian test is proposed for separability of covariance functions which is much more…

Methodology · Statistics 2017-07-24 Rafael S. Erbisti , Thais C. O. Fonseca , Mariane B. Alves

The cluster-weighted model (CWM) is a mixture model with random covariates which allows for flexible clustering and density estimation of a random vector composed by a response variable and by a set of covariates. In this class of models,…

Methodology · Statistics 2013-08-06 Salvatore Ingrassia , Antonio Punzo

A new distribution on (0, 1), generalized Log-Lindley distribution, is proposed by extending the Log-Lindley distribution. This new distribution is shown to be a weighted Log-Lindley distribution. Important probabilistic and statistical…

Statistics Theory · Mathematics 2020-02-07 S. Chakraborty , S. H. Ong , C. M. Ng

This paper develops a novel spatial quantile function-on-scalar regression model, which studies the conditional spatial distribution of a high-dimensional functional response given scalar predictors. With the strength of both quantile…

Methodology · Statistics 2020-12-22 Zhengwu Zhang , Xiao Wang , Linglong Kong , Hongtu Zhu

Recently, Lee and Cha (2015, `On two generalized classes of discrete bivariate distributions', {\it American Statistician}, 221 - 230) proposed two general classes of discrete bivariate distributions. They have discussed some general…

Methodology · Statistics 2018-05-01 Debasis Kundu , Vahid Nekoukhou

In this paper, we consider distributed maximum likelihood estimation (MLE) with dependent quantized data under the assumption that the structure of the joint probability density function (pdf) is known, but it contains unknown deterministic…

Information Theory · Computer Science 2013-09-17 Xiaojing Shen , Pramod K. Varshney , Yunmin Zhu

This paper proposes new estimators for the propensity score that aim to maximize the covariate distribution balance among different treatment groups. Heuristically, our proposed procedure attempts to estimate a propensity score model by…

Econometrics · Economics 2020-04-07 Pedro H. C. Sant'Anna , Xiaojun Song , Qi Xu

We consider the problem of function estimation in the case where the data distribution may shift between training and test time, and additional information about it may be available at test time. This relates to popular scenarios such as…

Machine Learning · Statistics 2013-06-05 Bernhard Schölkopf , Dominik Janzing , Jonas Peters , Kun Zhang

We propose new classes of tests for the Pareto type I distribution using the empirical characteristic function. These tests are $U$ and $V$ statistics based on a characterisation of the Pareto distribution involving the distribution of the…

Methodology · Statistics 2023-01-24 L. Ndwandwe , J. S. Allison , M. Smuts , I. J. H. Visagie

In this paper, we characterize the multivariate uniform probability distribution of the first and second kinds in the framework of the $\mathcal{R}(p,q)$-deformed quantum algebras. Their bivariate distributions and related properties,…

Mathematical Physics · Physics 2023-05-30 Fridolin Melong , Mahouton Norbert Hounkonnou

Flexible regression methods where interest centres on the way that the whole distribution of a response vector changes with covariates are very useful in some applications. A recently developed technique in this regard uses the…

Computation · Statistics 2016-03-01 Meng Hwee Victor Ong , David J. Nott , Ajay Jasra

In this paper, we propose that relations between high order moments of data distributions, for example between the skewness (S) and kurtosis (K), allow to point to theoretical models with understandable structural parameters. The…

Applications · Statistics 2018-07-19 Marcel Ausloos , Roy Cerqueti

The problem of characterizing a multivariate distribution of a random vector using examination of univariate combinations of vector components is an essential issue of multivariate analysis. The likelihood principle plays a prominent role…

Methodology · Statistics 2019-10-29 Albert Vexler

A random variable is equi-dispersed if its mean equals its variance. A Poisson distribution is a classical example of this phenomenon. However, a less well-known fact is that the class of normal densities that are equi-dispersed constitutes…

Statistics Theory · Mathematics 2022-09-07 Barry C. Arnold , B. G. Manjunath

In this paper, we propose a new class of distributions by exponentiating the random variables associated with the probability density functions of composite distributions. We also derive some mathematical properties of this new class of…

Methodology · Statistics 2022-04-05 Bowen Liu , Malwane M. A. Ananda

From a suitable integral representation of the Laplace transform of a positive semi-definite quadratic form of independent real random variables with not necessarily identical densities a univariate integral representation is derived for…

Statistics Theory · Mathematics 2007-11-01 T. Royen

The beta distribution is the best-known distribution for modelling doubly-bounded data, \eg percentage data or probabilities. A new generalization of the beta distribution is proposed, which uses a cubic transformation of the beta random…

Methodology · Statistics 2016-12-19 Rose Baker