We derive an unbiased variance estimator for re-sampling procedures using the fact that those procedures are incomplete U-statistics. Our approach is based on careful examination of the combinatorics governing the covariances between re-sampling iterations. We establish such an unbiased variance estimator for the special case of K-Fold cross-validation. This estimator exists as soon as new obse...

This study was designed to elucidate the effect of ascorbic acid on salivary total antioxidant capacity in smokers. In this single blind crossover clinical trial, the whole unstimulated saliva of 30 smokers, who were randomly divided into two groups, was collected. In the first phase after the saliva collection, one group of patients took 500 mg of vitamin C powder, for 3 weeks. Then, saliva of...

Abstract: This paper proposed a new method to estimate the missing data by using the filtering process. We used datasets without missing data and randomly missing data to evaluate the new method of estimation by using the Box Jenkins modeling technique to predict monthly average rainfall for site 5504035 Lahar Ikan Mati at Kepala Batas, P. Pinang station in Malaysia. The rainfall data was colle...

This paper develops a general equilibrium model with the purpose of identifying fundamental determinants of market structure and their welfare impact. The main effects are derived from the interaction between horizontal and vertical differentiation, induced by different sets of exogenous and endogenous sunk costs. The former are found to be positively correlated with market concentration and ma...

We have made a topological study of cosmic microwave background (CMB) polarization maps by simulating the AMiBA experiment results. A ΛCDM CMB sky is adopted to make mock interferometric observations designed for the AMiBA experiment. CMB polarization fields are reconstructed from the AMiBA mock visibility data using the maximum entropy method. We have also considered effects of Galactic foregr...

This article proposes statistical tools for quantitative evaluation of the risk due to the presence of some particular contaminants in food. We focus on the estimation of the probability of the exposure to exceed the so-called provisional tolerable weekly intake (PTWI), when both consumption data and contamination data are independently available. A Monte Carlo approximation of the plug-in esti...

Local increases in the mean of a random field are detected (conservatively) by thresholding a field of test statistics at a level u chosen to control the tail probability or p-value of its maximum. This p-value is approximated by the expected Euler characteristic (EC) of the excursion set of the test statistic field above u, denoted Eφ(Au). Under isotropy, one can use the expansion Eφ(Au) = ∑ k...