Meta-analysis is a very useful tool to combine information from different sources. Fixed effect and random effect models are widely used in meta-analysis. Despite their popularity, they may give us misleading results if the models don't fit the data but are blindly used. Therefore, like any statistical analysis, checking the model fitting is an important step. However, in practice, the goodness...

In this article, we develop a test for the null hypothesis that a real-valued function belongs to a given parametric set against the non-parametric alternative that it is monotone, say decreasing. The method is described in a general model that covers the monotone density model, the monotone regression and the right-censoring model with monotone hazard rate. The criterion for testing is an L p-...

Latent block models are used for probabilistic biclustering, which is shown to be an effective method analyzing various relational data sets. However, there has been no statistical test determining the row and column cluster numbers of latent models. Recent studies have constructed statistical-test-based methods stochastic models, assume that observed matrix a square symmetric assignments same ...

Abstract Regression models are widely used statistical procedures, and the validation of their assumptions plays a crucial role in data analysis process. Unfortunately, validating usually depends on availability tests tailored to specific model interest. A novel Bayesian goodness-of-fit hypothesis testing approach is presented for broad class regression response variable which univariate contin...

Copulas are often used in finance to characterize the dependence between assets. However, a choice of the functional form for the copula is an open question in the literature. This paper develops a goodness-of-fit test for copulas based on positive definite bilinear forms. The suggested test avoids the use of plug-in estimators that is the common practice in the literature. The test statistics ...