In this paper we study U-statistics with side information incorporated using the method of empirical likelihood. Some basic properties of the proposed statistics are investigated. We find that by implementing the side information properly, the proposed U-statistics can have smaller asymptotic variance than the existing U-statistics in the literature. The proposed U-statistics can achieve asympt...

The problem of the sample variance computation for epistemic inter-val-valued data is, in general, NP-hard. Therefore, known efficient algorithms for computing variance require strong restrictions on admissible intervals like the no-subset property or heavy limitations on the number of possible intersections between intervals. A new asymptotic algorithm for computing the upper bound of the samp...

This study deals with simple Constant Stress Partially Accelerated life test (CSPALT) using type-I censoring. The lifetime distribution of the test item is assumed to follow Gompertz distribution. The Maximum Likelihood (ML) Estimation is used to estimate the distribution parameters and acceleration factor. Asymptotic confidence interval estimates of the model parameters are also evaluated by u...

background: despite growing interest in the public health of sexual minority, youth around the world due to the high rates of suicidal ideation and attempts in this population, few studies on the sexual orientation of korean adolescents have been conducted. therefore, this study investigated the relationship between the sexual orientation of korean adolescents and their suicide-related behavior...

Transductive Confidence Machine (TCM) is a way of converting standard machine-learning algorithms into algorithms that output predictive regions rather than point predictions. It has been shown recently that TCM is wellcalibrated when used in the on-line mode: at any confidence level 1 − δ, the long-run relative frequency of errors is guaranteed not to exceed δ provided the examples are generat...

In this article, we propose a simple method of constructing confidence intervals for a function of binomial success probabilities and for a function of Poisson means. The method involves finding an approximate fiducial quantity (FQ) for the parameters of interest. A FQ for a function of several parameters can be obtained by substitution. For the binomial case, the fiducial approach is illustrat...

Much of the recent research has been aimed at improving web performance and scalability. For attaining the goal of improving web performance the basic need is the understanding of WWW work loads. In this paper we present a method useful for the system engineer to improve the service performance of a Web server through session-based Web workload, the best indicator of the users perception of the...

The mean of data on the unit circle is defined as the minimizer of the average squared Euclidean distance to the data. Based on Hoeffding’s mass concentration inequalities, non-asymptotic confidence sets for circular means are constructed which are universal in the sense that they require no distributional assumptions. These are then compared with asymptotic confidence sets in simulations and f...