Kinetic Monte Carlo (KMC) method has been widely used in simulating rare events such as chemical reactions or phase transitions. Yet lack of complete knowledge of transitions and the associated rates is one major challenge for accurate KMC predictions. In this paper, a reliable KMC (R-KMC) mechanism is proposed in which sampling is based on random sets instead of random numbers to improve the r...

Background: Pustular Psoriasis (PP) and Acute Generalized Exanthematous Pustulosis (AGEP) clinically resemble each other. There are many patients with generalized pustular presentations like hydroxychloroquine-induced pustular reaction who do not completely fall within PP or AGEP categories and needed to be more evaluated. So we examined a large series of these reactions to hyd...

Partial-duration maximum precipitation series from Historical Climatology Network stations are used as a basis for assessing trends in extreme-precipitation recurrence-interval amounts. Two types of time series are analyzed: running series in which the generalized extreme-value (GEV) distribution is fit to separate overlapping 30-yr data series and lengthening series in which more recent years ...

Exact expressions for single and product moments of generalized order statistics are derived when the underlying population is assumed to have a Rayleigh distribution. Bayesian estimators and highest posterior density (HPD) credible intervals are obtained for the scale parameter and reliability function based on generalized order statistics. We also derive the Bayes predictive estimator and HPD...

We prove that an iterated function system of similarities on $\mathbb{R}$ satisfies the weak separation condition and has interval as its self-similar set stronger generalized finite type condition. It is unknown if assumption necessary.

We consider the damping problem for a nonstationary control system described by of differential-difference equations neutral type with smooth matrix coe cients and several delays. This is equivalent to boundary-value second-order differentialdifference equations, which has unique generalized solution. It proved that smoothness this solution can be violated on considered interval preserved only ...

in 2004, rodr'{i}guez-lallena and '{u}beda-flores have introduced a class of bivariate copulas which generalizes some known families such as the farlie-gumbel-morgenstern distributions. in 2006, dolati and '{u}beda-flores presented multivariate generalizations of this class. then in 2011, kim et al. generalized rodr'{i}guez-lallena and '{u}beda-flores' study to any...

In this study, the mean-field Ising model, using the Bogolyubov inequality which has been obtained in the framework of the generalized statistical thermodynamics (GST), and is suitable for nonextensive systems, has been investigated. Generalized expressions for the mean-field magnetization and free energy have been established. These new results have been verified by the fact that they transfor...

The notion of a rough set was originally proposed by Pawlak [Z. Pawlak, Rough sets, International Journal of Computer and Information Sciences 11 (5) (1982) 341–356]. Later on, Dubois and Prade [D. Dubois, H. Prade, Rough fuzzy sets and fuzzy rough sets, International Journal of General System 17 (2–3) (1990) 191–209] introduced rough fuzzy sets and fuzzy rough sets as a generalization of rough...

The problem of interval estimation of the stress–strength reliability involving two independent Weibull distributions is considered. An interval estimation procedure based on the generalized variable (GV) approach is given when the shape parameters are unknown and arbitrary. The coverage probabilities of the GV approach are evaluated by Monte Carlo simulation. Simulation studies show that the p...