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An evaluation of FBST, Fully Bayesian Significance Test, restricted to survival models is the main objective of the present paper. A Survival distribution should be chosen among the tree celebrated ones, lognormal, gamma, and Weibull. For…

统计方法学 · 统计学 2017-06-01 Cachimo Assane , Basilio Pereira , Carlos Pereira

The Full Bayesian Significance Test (FBST) possesses many desirable aspects, such as dismissing the need for hypotheses to have positive prior probability and providing a measure of evidence against $H_0$. Still, few attempts have been made…

统计方法学 · 统计学 2025-07-23 Rodrigo F. L. Lassance , Julio M. Stern , Rafael B. Stern

The Full Bayesian Significance Test (FBST) for precise hypotheses was presented by Pereira and Stern [Entropy 1(4) (1999) 99-110] as a Bayesian alternative instead of the traditional significance test using p-value. The FBST is based on the…

统计方法学 · 统计学 2019-06-12 Alejandra Estefanía Patiño Hoyos , Victor Fossaluza

Significance testing aims to determine whether a proposition about the population distribution is the truth or not given observations. However, traditional significance testing often needs to derive the distribution of the testing…

机器学习 · 统计学 2024-01-25 Zehua Liu , Zimeng Li , Jingyuan Wang , Yue He

Conditional independence tests (CI tests) have received special attention lately in Machine Learning and Computational Intelligence related literature as an important indicator of the relationship among the variables used by their models.…

Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

统计方法学 · 统计学 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

The Full Bayesian Significance Test (FBST) for precise hypotheses was presented by Pereira and Stern (1999) as a Bayesian alternative instead of the traditional significance test based on p-value. The FBST uses the evidence in favor of the…

统计方法学 · 统计学 2018-08-31 Alejandra Estefanía Patiño Hoyos , Victor Fossaluza

The analysis of large-scale datasets, especially in biomedical contexts, frequently involves a principled screening of multiple hypotheses. The celebrated two-group model jointly models the distribution of the test statistics with mixtures…

统计方法学 · 统计学 2023-03-10 Francesco Denti , Stefano Peluso , Michele Guindani , Antonietta Mira

To perform statistical inference for time series, one should be able to assess if they present deterministic or stochastic trends. For univariate analysis one way to detect stochastic trends is to test if the series has unit roots, and for…

Statistical models of unobserved heterogeneity are typically formalized as mixtures of simple parametric models and interest naturally focuses on testing for homogeneity versus general mixture alternatives. Many tests of this type can be…

统计方法学 · 统计学 2016-03-22 Jiaying Gu , Roger Koenker , Stanislav Volgushev

Gaussian mixture models with eigen-decomposed covariance structures make up the most popular family of mixture models for clustering and classification, i.e., the Gaussian parsimonious clustering models (GPCM). Although the GPCM family has…

统计方法学 · 统计学 2014-05-05 Antonio Punzo , Ryan P. Browne , Paul D. McNicholas

Hypothesis testing is a central statistical method in psychology and the cognitive sciences. However, the problems of null hypothesis significance testing (NHST) and p-values have been debated widely, but few attractive alternatives exist.…

统计方法学 · 统计学 2020-06-08 Riko Kelter

Generalized linear mixed models (GLMMs) are used to model responses from exponential families with a combination of fixed and random effects. For variance components in GLMMs, we propose an approximate restricted likelihood ratio test that…

统计方法学 · 统计学 2019-06-11 Stephanie T. Chen , Luo Xiao , Ana-Maria Staicu

We propose a Bayesian test of normality for univariate or multivariate data against alternative nonparametric models characterized by Dirichlet process mixture distributions. The alternative models are based on the principles of embedding…

统计理论 · 数学 2023-04-12 Surya T. Tokdar , Ryan Martin

Hypothesis test plays a key role in uncertain statistics based on uncertain measure. This paper extends the parametric hypothesis of a single uncertain population to multiple cases, thereby addressing a broader range of scenarios. First, an…

统计方法学 · 统计学 2025-12-03 Fan Zhang , Zhiming Li

In this article, we propose a new method for the fundamental task of testing for dependence between two groups of variables. The response densities under the null hypothesis of independence and the alternative hypothesis of dependence are…

统计方法学 · 统计学 2015-01-29 Yimin Kao , Brian J Reich , Howard D Bondell

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

统计方法学 · 统计学 2013-03-07 Cinzia Viroli

Mixed linear models are commonly used in repeated measures studies. They account for the dependence amongst observations obtained from the same experimental unit. Oftentimes, the number of observations is small, and it is thus important to…

统计方法学 · 统计学 2011-08-05 Tatiane F. N. Melo , Silvia L. P. Ferrari , Francisco Cribari-Neto

In this paper we are interested in testing whether there are any signals hidden in high dimensional noise data. Therefore we study the family of goodness-of-fit tests based on $\Phi$-divergences including the test of Berk and Jones as well…

统计理论 · 数学 2018-03-20 Marc Ditzhaus

We consider a novel paradigm for Bayesian testing of hypotheses and Bayesian model comparison. Our alternative to the traditional construction of posterior probabilities that a given hypothesis is true or that the data originates from a…

统计方法学 · 统计学 2019-01-01 Kaniav Kamary , Kerrie Mengersen , Christian P. Robert , Judith Rousseau
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