We introduce a new statistical quantity the energy to test whether two samples originate from the same distributions. The energy is a simple logarithmic function of the distances of the observations in the variate space. The distribution of the test statistic is determined by a resampling method. The power of the energy test in one dimension was studied for a variety of different test samples a...

The interest in nonparametric statistical analysis has grown recently in the field of computational intelligence. In many experimental studies, the lack of the required properties for a proper application of parametric procedures – independence, normality, and homoscedasticity – yields to nonparametric ones the task of performing a rigorous comparison among algorithms. In this paper, we will di...

In practice, parametric likelihood-ratio techniques are powerful statistical tools. In this article, we propose and examine novel and simple distribution-free test statistics that efficiently approximate parametric likelihood ratios to analyze and compare distributions of K groups of observations. Using the density-based empirical likelihood methodology, we develop a Stata package that applies ...

An efficient sequential nonparametric multichart (multichannel) CUSUM-type detection test for detecting changes in multichannel sensor systems is proposed. While there is a wide spectrum of applications where it is necessary to consider multichannel generalizations and general statistical models in change-point detection problems, the study in this paper is motivated by network security. Many k...

We will place certain parts of the theory of statistical efficiency into the author’s operator trigonometry (1967), thereby providing new geometrical understanding of statistical efficiency. Important earlier results of Bloomfield and Watson, Durbin and Kendall, Rao and Rao, will be so interpreted. For example, worse case relative least squares efficiency corresponds to and is achieved by the m...

Microcontrollers, the brains of embedded systems, have found their way into every aspect of our lives including medical devices such as pacemakers. Pacemakers provide life supporting functions to people therefore it is critical for these devices to meet their timing constraints. This thesis examines the use of hardware co-processing to accelerate the calculation time associated with the critica...

Several reproducibility probability (RP)-estimators for the binomial, sign, Wilcoxon signed rank and Kendall tests are studied. Their behavior in terms of MSE is investigated, as well as their performances for RP-testing. Two classes of estimators are considered: the semi-parametric one, where RP-estimators are derived from the expression of the exact or approximated power function, and the non...

background and objectives: this research study was conducted to determine the correlation between the clinicopathologic features and the outcome of membranous nephropathy. materials and methods: data were retrospectively reviewed from all patients with a diagnosis of membranous nephropathy. demographic, initial laboratory, and clinical findings were collected and the biopsy specimens were revie...