the importance of constructing the appropriate green function to solve a wide range of problems inelectromagnetics and partial differential equations is well-recognized by those dealing with classical electrodynamics and related fields. although the subject of obtaining the green function for certain geometries has been extensively studied and addressed in numerous sources, in this paper a syst...

The concept of sustainable entrepreneurship is emerging due to the greening of the business environment. The objective of the present study is to distinguish the influencing factors for the entrepreneurial aspirants towards the sustainable entrepreneurship. It is an empirical study that incorporates 306 respondents. These respondents are young entrepreneurial aspirants. The study consists of fo...

The study aims to estimate an international reserves demand model for China using economic growth, propensity to import, real effective exchange rate and trade openness variables for quarterly period spanning from 1985Q1 to 2014Q4.The bounds testing technique to cointegration is used to test for a long run relationship, while the autoregressive distributed lag approach is used to estimate short...

Uniform deviation bounds limit the difference between a model’s expected loss and its loss on an empirical sample uniformly for all models in a learning problem. As such, they are a critical component to empirical risk minimization. In this paper, we provide a novel framework to obtain uniform deviation bounds for loss functions which are unbounded. In our main application, this allows us to ob...

Theoretical relative ages of galactic globular clusters have recently been challenged by a semi-empirical relation. It was used to point out that tested sets of isochrones were unable to reproduce the relation and yield internally inconsistent relative ages. We find that differential cluster ages derived with the isochrones by Salaris & Weiss (1998) are reliable and internally consistent. We al...

Recent work introduced loss functions which measure the error of a prediction based on multiple simultaneous observations or outcomes. In this paper, we explore the theoretical and practical questions that arise when using such multi-observation losses for regression on data sets of (x, y) pairs. When a loss depends on only one observation, the average empirical loss decomposes by applying the ...

Following the results in Rüschendorf and Uckelmann (2002), we introduce the completely mixable distributions on R and prove that distributions with monotone density and moderate mean are completely mixable. Using this method we solve the minimization problem minXi∼P Ef(X1 + · · ·+ Xn) for convex functions f and marginal distributions P with monotone density. Our results also provide valuable im...