The Hausman (1978) test is based on the vector of differences of two estimators. It is usually assumed that one of the estimators is fully efficient, since this simplifies calculation of the test statistic. However, this assumption limits the applicability of the test, since widely used estimators such as the generalized method of moments (GMM) or quasi maximum likelihood (QML) are often not fu...

We introduce Boundary-Aware Extinction Maps for interactive rendering of massive heterogeneous volumetric datasets. Our approach is based on the projection of the extinction along light rays into a boundary-aware function space, focusing on the most relevant sections of the light paths. This technique also provides an alternative representation of the set of participating media, allowing scatte...

Analysis of eye-tracking data in marketing research has traditionally relied upon regions of interest (ROIs) methodology or the use of heatmaps . Clear disadvantages exist for both methods . Addressing this gap, the current research applies spatiotemporal scan statistics to the analysis and visualisation of eye tracking data . Results of a sample experiment using anthropomorphic car faces demon...

String transformation, which maps a source string s into its desirable form t∗, is related to various applications including stemming, lemmatization, and spelling correction. The essential and important step for string transformation is to generate candidates to which the given string s is likely to be transformed. This paper presents a discriminative approach for generating candidate strings. ...

EKC scenarios presented by Dasgupta and others (2002) are, with regard to the analytical framework of the Environmental Kuznets Curve (EKC), applicable in Asia to representative environmental indices, such as sulphur emissions and carbon emissions. To carry out this study, a generalized method of moments (GMM) estimation was made, using panel data of 19 economies for the period 1950-2009. The m...

In this paper a fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for second order differential inclusions with periodic boundary conditions.

The purpose of this note is to establish, in a categorical manner, the universality of the Geroch-Kronheimer-Penrose causal boundary when considering the types of causal structures that may prootably be put on any sort of boundary for a spacetime. Actually, this can only be done for the future causal boundary (or the past causal boundary) separately; furthermore, only the chronology relation, n...

Neural networks are powerful tools for approximating high dimensional data that have been used in many contexts, including solution of partial differential equations (PDEs). We describe a solver multiscale fully nonlinear elliptic makes use domain decomposition, an accelerated Schwarz framework, and two-layer neural to approximate the boundary-to-boundary map subdomains, which is key step proce...

In this short paper we present an example of the geometric theory of output regulation applied to solve a tracking problem for a plant consisting of a boundary controlled distributed parameter system (heat equation on a rectangle) with unbounded input and output maps and signal to be tracked generated by an infinite dimensional exosystem. The exosystem is neutrally stable but with an infinite (...

This paper develops a framework to include Dirichlet boundary conditions on a subset of the boundary which depends on time. In this model, the boundary conditions are weakly enforced with the help of a Lagrange multiplier method. In order to avoid that the ansatz space of the Lagrange multiplier depends on time, a bi-Lipschitz transformation, which maps a fixed interval onto the Dirichlet bound...