Certain cases in which the interval hull of a system of linear interval equations can be computed inexpensively are outlined. We extend a proposed technique of Hansen and Rohn with a formula that bounds the solution set of a system of equations whose coefficient matrix A = [A, A] is an H-matrix; when A is centered about a diagonal matrix, these bounds are the smallest possible (i.e., the bounds...

We propose to use kernel methods and visualization tool for mining interval data. When large datasets are aggregated into smaller data sizes we need more complex data tables e.g interval type instead of standard ones. Our investigation aims at extending kernel methods to interval data analysis and using graphical tools to explain the obtained results. The user deeply understands the models’ beh...

This paper is a review of methods and techniques used for precise measurement of time intervals (TIs) or precise conversion of TIs to digital data. The following methods are described: the counter method and averaging, time stretching, time-to-amplitude conversion followed by analogue-to-digital conversion, the Vernier method, conversion utilizing tapped delay lines, and interpolation methods. ...

We investigate the performance of model based bootstrap methods for constructing point-wise confidence intervals around the survival function with interval censored data. We show that bootstrapping from the nonparametric maximum likelihood estimator of the survival function is inconsistent for both the current status and case 2 interval censoring models. A model based smoothed bootstrap procedu...

Properly addressing the discretization process of continuos valued features is an important problem during decision tree learning. This paper describes four multi-interval discretization methods for induction of decision trees used in dynamic fashion. We compare two known discretization methods to two new methods proposed in this paper based on a histogram based method and a neural net based me...

This paper deals with the solution bounds for time-delay systems via delay-dependent Lyapunov– Krasovskiimethods. Solution bounds arewidely used for systemswith input saturation caused by actuator saturation or by the quantizers with saturation.We show that an additional bound for solutions is needed for the first time-interval, where t < τ(t), both in the continuous and in the discrete time. T...

The reliable calculation of phase equilibrium is a critical issue in the simulation, optimization and design of a wide variety of industrial processes, especially those involving separation operations such as distillation and extraction. However, even when accurate models of the necessary thermodynamic properties are available, it is often very difficult to actually solve the phase equilibrium ...

A statistically significant difference in mean values between two laboratory quantitation methods is interpreted as a bias. Sometimes such a difference is so minute that it does not constitute any practical concern. An alternative approach is to test statistically whether the two methods are close enough, not for equality. This is to look at the confidence interval of the mean method difference...

We present an efficient and reliable method for computing the unit–in–the–last–place (ulp) of a double precision floating–point number, taking advantage of the standard binary representation for floating– point numbers defined by IEEE Std 754–1985. The ulp is necessary to perform software rounding for robust rounded interval arithmetic (RIA) operations. Hardware rounding, using two of the stand...

Background/Aim. It is necessary to decide whether the newly improved methods are better than the standard or reference test or not. To decide whether the new diagnostics test is better than the gold standard test/imperfect standard test, the differences of estimated sensitivity/specificity are calculated with the help of information obtained from samples. However, to generalize this value to th...