Under partial confinement, the motion of colloidal particles is restricted to a plane or a line but their dynamics is influenced by hydrodynamic interactions mediated by the unconfined, three-dimensional flow of the embedding fluid. We demonstrate that this dimensionality mismatch induces a characteristic divergence in the collective diffusion coefficient of the colloidal subsystem. This result...

We investigate the boundary Harnack principle for uniformly elliptic operators in divergence form Hölder domains of exponent $ \alpha > 0 $. also deal with nondivergence coefficient that remain constant graph direction.

In this paper, we introduce a goodness of fit test for expo- nentiality based on Lin-Wong divergence measure. In order to estimate the divergence, we use a method similar to Vasicek’s method for estimat- ing the Shannon entropy. The critical values and the powers of the test are computed by Monte Carlo simulation. It is shown that the proposed test are competitive with other tests of exponentia...

Aimed at the divergence problem in the traditional Kalman Filtering (KF) channel estimation algorithm due to the inaccurate state transfer coefficient (STC), this paper proposes a novel KF channel estimation method using the STC with threshold correction. By setting a reasonable threshold, the estimation performance of STC can be greatly improved in the time-varying Ultra-Wideband (UWB) channel...

We study conditions on f under which an f -divergence Df will satisfy Df ≥ cfV 2 or Df ≥ c2,fV +c4,fV , where V denotes variational distance and the coefficients cf , c2,f and c4,f are best possible. As a consequence, we obtain lower bounds in terms of V for many well known distance and divergence measures. For instance, let D(α)(P,Q) = [α(α− 1)][ ∫ qp dμ− 1] and Iα(P,Q) = (α−1)−1 log[ ∫ pq dμ]...

For regression models other than the linear model, R-squared type goodness-of-fit summary statistics have been constructed for particular models using a variety of methods. We propose an R-squared measure of goodness of fit for the class of exponential family regression models, which includes logit, probit, Poisson, geometric, gamma and exponential. This R-squared is defined as the proportionat...

Previous empirical research has developed stochastic electoral models for Israel, Turkey, and other polities. The work suggests that convergence to an electoral center often predicted by electoral models is a nongeneric phenomenon. In an attempt to explain nonconvergence, a formal model based on intrinsic valence is presented. This theory showed that there are necessary and sufficient condition...

We study conditions on f under which an f -divergence Df will satisfy Df ≥ cfV 2 or Df ≥ c2,fV 2 + c4,fV 4, where V denotes variational distance and the coefficients cf , c2,f and c4,f are best possible. As a consequence, we obtain lower bounds in terms of V for many well known distance and divergence measures. For instance, let D(α)(P,Q) = [α(α−1)]−1[∫ qαp1−α dμ−1] and Iα(P,Q) = (α−1)−1 log[ ∫...

In this paper we derive an integral (with respect to time) representation of the relative entropy (or Kullback–Leibler Divergence) R(μ||P ), where μ and P are measures on C([0, T ];R). The underlying measure P is a weak solution to a martingale problem with continuous coefficients. Our representation is in the form of an integral with respect to its infinitesimal generator. This representation ...