In this paper we study a fully relativistic model of a two-dimensional hard-disk gas. This model avoids the general problems associated with relativistic particle collisions and is therefore an ideal system to study relativistic effects in statistical thermodynamics. We study this model using molecular-dynamics simulation, concentrating on the velocity distribution functions. We obtain results ...

We consider a new failure time distribution by combining three Weibull distributions. The proposed exhibits decreasing, increasing, and bathtub-shaped rate functions. Some statistical properties of the are presented. maximum likelihood method is used to estimate parameters, reliability, functions distribution, uncertainties estimates obtained using asymptotic confidence intervals. cross-entropy...

In this paper we present statistical models for text which treat words with higher frequencies of occurrence in a sensible manner, and perform better than widely used models based on the multinomial distribution on a wide range of classification tasks, with two or more classes. Our models are based on the Poisson and Negative-Binomial distributions, which keep desirable properties of simplicity...

complicated potential structure formed at a constriction of positive column of a dc discharge with heated cathode in he at low discharge currents is investigated. according to the potential structure, electrons and ions are accelerated by the electric field and their energy distribution functions acquire multi humped shapes. additional maximums on distribution functions quickly disappear due to...

the implementation of different silvicultural systems can be effective on different characteristics of forest stands, such as stand structure and diameter distribution of trees. this study was carried out in shafaroud forests of gilan province of northern iran. the objectives of this research were 1) to evaluate the suitability of different probability distribution functions, including weibull,...

In this paper, we discuss the statistical inference on the unknown parameters and reliability function of type-II extreme value (EVII) distribution when the observed data are progressively type-II censored. By applying EM algorithm, we obtain maximum likelihood estimates (MLEs). We also suggest approximate maximum likelihood estimators (AMLEs), which have explicit expressions. We provide Bayes ...