A statistical analysis of functional data, obtained as reflectance values measured using a hyperspectral sensor, was used to determine water content in vine leaves. Our study was conducted using a sample of 80 vine leaves whose water content was determined by calculating the weight difference between leaves before and after drying in an oven. Two regression models, one linear and the other non-...

Given an i.i.d. sample drawn from a density f on the real line, the problem of testing whether f is in a given class of densities is considered. Testing procedures constructed on the basis of minimizing the L1-distance between a kernel density estimate and any density in the hypothesized class are investigated. General non-asymptotic bounds are derived for the power of the test. It is shown tha...

Because of the growing importance of object-oriented programming, a number of testing approaches have been proposed. Frankl et al. propose the application of the functional approach, using algebraic specifications for the generation of test cases and the validation of methods. Given a specification, Frankl et al. propose that equivalent terms should give observably equivalent objects, and offer...

for some constant Lσ,d ≥ L σ,d and are widely discussed in the literature (see e.g. [3, 9, 11]). A longstanding question is when (1.4) holds with Lσ,d = L cl σ,d. The most general result is due to Laptev and Weidl [10] who proved that Lσ,d = L cl σ,d for all σ ≥ 32 and d ≥ 1. Their proof is based on a dimensional reduction of Schrödinger operators with operator valued potentials which allows th...

durbin's rank test is widely used for testing treatment effects in balanced incomplete block designs (bibds)which have wide applications in sensory analysis. this test is failed for bibds when ties data occur. an adjusted version of durbin rank test for this kind of data is given to solve this problem. chi-square approximation, which is commonly used for this test, is not adequate for small bib...

In the framework of prediction with expert advice, we consider a recently introduced kind of regret bounds: the bounds that depend on the effective instead of nominal number of experts. In contrast to the NormalHedge bound, which mainly depends on the effective number of experts but also weakly depends on the nominal one, we obtain a bound that does not contain the nominal number of experts at ...

We introduce the Singleton bounds for codes over a finite commutative quasi-Frobenius ring.