The regression discontinuity (RD) design is one of the most widely used nonexperimental methods for causal inference and program evaluation. Over last two decades, statistical econometric RD analysis have expanded matured, there now a large number methodological results identification, estimation, inference, validation. We offer curated review this literature organized around popular frameworks...

This paper makes two generalisations of categorial calculus of discontinuity. In the rst we introduce unary modalities which mediate between continuous and discontinuous strings. In the second each of the modes of adjunction of the proposal to date, concatenation, juxtaposition and interpolation, are augmented with variants. Linguistic illustration and motivation is provided, and we show how ad...

This paper deals with the boundary value problem involving the differential equation begin{equation*}     ell y:=-y''+qy=lambda y,  end{equation*}  subject to the standard boundary conditions along with the following discontinuity  conditions at a point $ain (0,pi)$  begin{equation*}     y(a+0)=a_1 y(a-0),quad y'(a+0)=a_1^{-1}y'(a-0)+a_2 y(a-0), end{equation*} where $q(x),  a_1 , a_2$ are  rea...

The thermoelectroelastic GreenÕs functions are presented for an in®nite piezoelectric plate with an elliptic inclusion of dissimilar material induced by a thermal load located inside or on the boundary of the elliptic inclusion. The load may be a point heat source and the thermal analog of a line dislocation with temperature discontinuity. The derivation is based on the Stroh formalism, conform...

The framework of multi scale analysis has been applied to strain localization problems. It is now extended to the case of strong discontinuities. This term describes displacement fields that possess a dis­ continuous component. The analysis of discontinuous solutions arising in one-dimensional, rate-independent plasticity is revisited. The resulting formulation is treated as a microstructural m...

Poro-thermo-mechanical processes and mineral precipitation/dissolution change the fracture aperture and thus affect the fluid flow pattern in the fracture. In this paper, we study this phenomenon by further development and application of a three-dimensional thermo-poro-mechanical model to include silica dissolution-precipitation effects. The solid mechanics aspect of the problem is treated usin...

geometrical profile (roughness) of joint surfaces influences the behaviour of rock joints under shear loading. with regard to the dilation, there are two models of direct shear test that may simulate the original loading condition existing in the location from where the specimens have been sampled. the first model in which the normal load is constant (cnl) and the discontinuity is free to dilat...

Block-based transform coding is the most popular approach for image and video compression. The objective measurement of blocking artifacts plays an important role in the design, optimization, and assessment of image and video coding systems. This paper presents a new algorithm for measuring blocking artifacts in images and videos. Instead of using the traditional pixel discontinuity along the b...

Image registration is a powerful tool in medical image analysis and facilitates the clinical routine in several aspects. There are many well established elastic registration methods, but none of them can so far preserve discontinuities in the displacement field. These discontinuities appear in particular at organ boundaries during the breathing induced organ motion. In this paper, we exploit th...