Generalized thermoelastic models have been developed with the aim of eliminating the contradiction in the infinite velocity of heat propagation inherent in the classical dynamical coupled thermoelasticity theory. In these generalized models, the basic equations include thermal relaxation times and they are of hyperbolic type. Furthermore, Tzou established the dual-phase-lag heat conduction theo...

We propose a panel data estimator that leaves the relationship between observables and unobservables unrestricted, while allowing for flexible time-varying patterns of heterogeneity. Our approach restricts the support of unobserved heterogeneity, effectively assuming that individual units belong to a small number of groups. The “grouped fixed-effects” estimator that this paper introduces is sho...

The way in which memories decline over time has been studied for over a century, but remains an unresolved issue because of a lack of sufficiently precise data and effective model selection techniques. Here we address this gap with a particular focus on whether the decline in memory retention is complete or asymptotes above chance performance. We collected stem cued recall and stem completion d...

where mj : R → R is a nonparametric smooth function and the error εj is independent of the covariate Xj. As is usual in a robust framework, we will assume that the errors εj are such that εj = σj Uj, where Uj has a symmetric distribution Gj(·) with scale 1, so that we are able to identify the error’s scale, σj. When second moments exist, as it is the case of the classical approach, these condit...

Assume individuals are treated if a latent variable, containing a continuous instrument, lies between two thresholds. We place no functional form restrictions on the latent errors. Here unconfoundedness does not hold and identification at infinity is not possible. Yet we still show nonparametric point identification of the average treatment effect. We provide an associated root-n consistent est...

Under the assumption of normally distributed returns, we analyze whether the Cumulative Prospect Theory of Tversky and Kahneman (1992) is consistent with the Capital Asset Pricing Model. We find that in every financial market equilibrium the Security Market Line Theorem holds. However, under the specific functional form suggested by Tversky and Kahneman (1992) financial market equilibria do not...

In this paper we devise a systematic procedure to obtain nonlocal symmetries of a class of scalar nonlinear ordinary differential equations (ODEs) of arbitrary order related to linear ODEs through nonlocal relations. The procedure makes use of the Lie point symmetries of the linear ODEs and the nonlocal connection to deduce the nonlocal symmetries of the corresponding nonlinear ODEs. Using thes...

in classical mechanics, considering hook’s law stress is a linear function of strain. while in strain gradient theory stress is a function of strain and strain differentials. in this paper, novel formulation relating stress and strain and also new boundary conditions are derived based on minimum potential energy principle. in strain gradient theory a length coefficient parameter is defined. thi...