We compare the effectiveness of various tests of three-flavor mixing in future long-baseline neutrino oscillation experiments. We analyze a representative case of mixing in a simplified three-flavor scheme, whose relevant parameters are one neutrino mass-square difference, m, and two mixing angles, ψ and φ. We show that an unambiguous determination of ψ and φ requires flavor-appearance tests in...

The technique of lunar laser ranging (LLR) has for many decades contributed to cutting-edge tests of the fundamental nature of gravity. These include the best tests to date of the strong equivalence principle, the time-rate-of-change of the gravitational constant, gravitomagnetism, the inverse square law, and preferred frame effects. The phenomenologies of each are briefly discussed, followed b...

For random samples of size n obtained from p-variate normal distributions, we consider the classical likelihood ratio tests (LRT) for their means and covariance matrices in the high-dimensional setting. These test statistics have been extensively studied in multivariate analysis and their limiting distributions under the null hypothesis were proved to be chi-square distributions as n goes to in...

Abstract. Statistical tests used in the literature to compare algorithms use the misclassification error which is based on the 0/1 loss and square loss for regression. Kernel-based, support vector machine classifiers (regressors) however are trained to minimize the hinge ( -sensitive) loss and hence they should not be assessed or compared in terms of the 0/1 (square loss) but with the loss meas...

Statistical methods for automatically identifying de pendent word pairs i e dependent bigrams in a cor pus of natural language text have traditionally been performed using asymptotic tests of signi cance This paper suggests that Fisher s exact test is a more ap propriate test due to the skewed and sparse data sam ples typical of this problem Both theoretical and experimental comparisons between...

Specific statistical tests are used when the null hypothesis (H0) is to be tested using nonparametric nominal or ordinal data. With nominal data, experimental results are expressed by proportions or frequencies. Chi-square or related tests (the Fisher's exact test or the rows by columns test) are appropriate for testing H0 with nominal data. Ordinal data permit arrangement of statistical result...

A least-squares method is used to determine the fundamental parameters of a simple mathematical model for the mechanical subsystem of the NEES-UCSD large high performance outdoor shaking table. The parameters identified include the effective horizontal mass, the effective horizontal stiffness, and the coefficient of the classical Coulomb friction and viscous damping elements representing the va...

In clinical trials and life testing problems the responses are time-sequential in nature and a compl~t~ experimentation may involve a prohibitive amount of time and cost •. • Fo't "this reason, progressive· censoring schemes (PCS) are often advocated with a view to terminating the experimentation at the earliest possible stage if the accumulated statistical evidence warrants to do so. In this d...