Results of a systematic analysis of actual vs. estimated uncertainty in scientific models are presented. Data sets include: i) time trends in the sequential measurements of the same physical quantity; ii) national population projections; iii) projections for the United States’ energy sector. Probabilities of large deviations from the true values are parametrized by an exponential distribution w...

With progressing technologies and new features of production, new products compete with older ones in markets. Indeed, new products initiate contest with olden ones and this process repeats in different productions lifetime several times. In this situation recycling the olden products seems to be significant for supply chains. Governments often levy special tariffs for these products as a contr...

Accurate simulation of the VAPEX process relies heavily on precise modeling solvent chamber propagation. In previously developed models, possesses either a linear, circular, or parabolic shape. this study, an exponential model was considered to represent propagation throughout spreading and falling stages process. The tuning parameters proposed include function coefficient transition region thi...

Multiple stationary equilibria are often encountered in standard asset pricing models when one assumes negative-exponential utility with Gaussian uncertainty. This paper demonstrates that there are exactly two stationary equilibria, which are due solely to the presence of nonlinearities.

We study the long-time behaviour of a non conservative piecewise deterministic measure-valued Markov process modelling proliferation an age-and-size structured population, which generalises “adder” model bacterial growth. Firstly, we prove existence eigenelements associated infinitesimal generator, are used to bring ourselves back using Doob $h$ -transform. Finally, obtain exponential ergodicit...

a two server queueing system with single and batch service is considered in this paper. the arrival process is assumed to be poisson and the service rate follows an exponential distribution. server-i serves the customers in both single and batch service, while server-ii serves the customers in batch service only. the laplace transform of the transient and steady state behavior of the model is c...

Nonhomogenous random fields are known to be well adapted to modeling a wide class of images. Their computational complexity generally causes their lack of appeal, we propose a more efficient model capable of capturing textures, shapes, as well as jumps typically encountered in infra-red images. The so-called Levy Random fields as we show, can indeed represent a very well adapted alternative for...