The permutation approach for testing the equality of distributions and thereby comparing two populations of functional data has recently received increasing attention thanks to the flexibility of permutation tests to handle complex testing problems. The purpose of this work is to present some...

The simple samples are independently taken from normal distribution. The two functions of the sample means and sample variances are considered. The density functions of these two statistics have been derived. These statistics can be applied for verifying the hypothesis on stability of expected...

We consider the fixed effects panel data single-index model. For estimation of the link function and the index parameter, the local linear smoothing and the least squares method are used. We also propose a test for the presence of the fixed effects. Finite sample performances are illustrated...

We present modified likelihood ratio tests (LRTs) for simple and double separability of a variance–covariance structure, unbiased in finite samples. The modification is a penalty-based homothetic transformation of the LRT statistic. Optimal penalties, depending on the mean model, contain novel...