1. Shipley et al. (2006) proposed a maximum entropy approach to studying how species relative abundance is mediated by their traits, “community assembly via trait selection” (CATS). 2. In this paper we build on recent equivalences between the maximum entropy formalism and Poisson regression to show that CATS is equivalent to a generalised linear model for abundance, with species traits as predi...

A selfconsistent model for charged particles, accounting for quantum confinement, diffusive transport and electrostatic interaction is considered. The electrostatic potential is a solution of a three dimensional Poisson equation with the particle density as the source term. This density is the product of a two dimensional surface density and that of a one dimensional mixed quantum state. The su...

In this paper, we investigate a single-server Poisson input queueing model, wherein arrivals of units are in bulk. The arrival rate of the units is state dependent, and service time is arbitrary distributed. It is also assumed that the system is subject to breakdown, and the failed server immediately joins the repair facility which takes constant duration to repair the server. By using suppl...

The relative entropy method describes the irreversibility of the Vlasov-Poisson and Vlasov-Boltzmann-Poisson systems in bounded domains with incoming boundary conditions. Uniform in time estimates are deduced from the entropy. In some cases, these estimates are suucient to prove the convergence of the solution to a unique stationary solution, as time goes to innnity. The method is also used to ...

where ρ is the mass density, S is the entropy density, and p is the pressure. It was shown in Morrison and Greene [1980] that this system, as well as its magnetohydrodynamic extension, admit a noncanonical Poisson formulation, that is, equation (1.1) can be written as ḟ = {f, h}, relative to a Hamiltonian function h. The study of the relativistic case was initiated in Bia lynicki-Birula, Hubbar...

This paper is devoted to prediction-based lossless/near-lossless image compression algorithm. Within this framework, there are three modules, including prediction model, statistical model and entropy coding. This paper focuses on the former two, and puts forward two new methods respectively, they are, prediction model based on backward adaptive recognition of local texture orientation (BAROLTO)...

In recent years, a number of results have been developed which connect information measures and estimation measures under various models, including, predominently, Gaussian and Poisson models. More recent results due to Taborda and Pérez-Cruz relate the relative entropy to certain mismatched estimation errors in the context of binomial and negative binomial models, where, unlike in the case of ...

A hierarchy of diffusive partial differential equations is derived by a moment method and a Chapman-Enskog expansion from the semiconductor Boltzmann equation assuming dominant collisions. The moment equations are closed by employing the entropy maximization principle of Levermore. The new hierarchy contains the well-known drift-diffusion model, the energy-transport equations, and the six-momen...