Time-to-event endpoints show an increasing popularity in phase II cancer trials. The standard statistical tool for such one-armed survival trials is the one-sample log-rank test. Its distributional properties are commonly derived large sample limit. It however known from literature, that asymptotical approximations suffer when size small. There have already been several attempts to address this...

BACKGROUND Metabolic Syndrome and diabetes mellitus are risk factors for cardiovascular disease. However, the effects of Metabolic Syndrome with or without diabetes on perioperative and long-term morbidity and mortality after Coronary Artery Bypass Graft remain unclear. METHODS An retrospective study was performed on 1166 patients who received isolated primary Coronary Artery Bypass Graft in ...

This paper builds on the previous paper by the author, where a relationship between Zhedanov’s algebra AW (3) and the double affine Hecke algebra (DAHA) corresponding to the Askey-Wilson polynomials was established. It is shown here that the spherical subalgebra of this DAHA is isomorphic to AW (3) with an additional relation that the Casimir operator equals an explicit constant. A similar resu...

Considering the evolution of spatial pattern regional economic growth in China, this paper analyzes whether environmental regulation (ER) and knowledge spillover (EKS) contribute to using panel data Durbin model China’s 31 provinces cities from 2005 2020. The findings indicate that (1) there are significant characteristics agglomeration distribution different according Moran’s index; (2) has a ...

The problem of sample size determination based on three commonly used non-parametric rank based tests, namely, one-sample Wilcoxon's rank sum test, two-sample's Wilcoxon's rank sum test, and the rank-based test for independence is studied. Explicit formulas for variabilities of the test statistics under the alternative hypotheses are derived. Consequently, close forms of power functions of thes...

This paper examines the relationship between input-output linkages and industry agglomeration by combining the strength of spatial econometrics and the input-output model. This paper uses the location quotient as a measure of industrial agglomeration and regresses it on the intermediate demand variable, which is an important variable in the integrated econometric and input-output models. The na...