Superiority of empirical Bayes estimation of error variance in linear model

In this paper, the Bayes estimator of the error variance is derived in a linear regression model, and the parametric empirical Bayes estimator （PEBE） is constructed. The superiority of the PEBE over the least squares estimator （LSE） is investigated under the mean square error （MSE） criterion. Finally, some simulation results for the PEBE are obtained.

An Analysis of HB-MAP Based on OPNET Simulation

HB-MAP （HB-mutual authentication protocol） is a mutual ultra-light-weight authentication protocol we have pro- posed before. In this paper, we present an HB-MAP simulation model. This model is based on the OPNET modeler and includes three parts, namely, the network model, the node model, and the process model. The simulation results are obtained mainly in the aspects of running time, queuing delay, throughput, and channel utilization. To show the performance of HB-MAP, simulation of two other protocols HB and LCAP （load-based concurrent access protocol） is also executed, and comparative analysis is carried out on the results. At the end of the paper, we show a simple process of the attacks and identify that the HB-MAP can defend against some attacks.

Fatigue damage analysis of ballastless slab track in heavy-haul railway tunnels

A ballastless slab track,which is commonly used in the track structures of heavy-haul railway tunnels,was analysed based on field measurement data of the Fuyingzi Tunnel on the Zhangtang Railway.In accordance with the measured data,the dynamic load thresholds and distributions on the surface and bottom of the ballastless slab track were investigated.A fatigue damage analysis of the ballastless slab track was performed based on the dynamic load time–history curve.The results show that the ballastless slab track can accomplish train load attenuation and reduce the dynamic load from heavy-haul trains by 47.22%from the surface to the bottom.In addition,the distribution at the bottom of the ballastless slab track exhibited a triangular shape,and the dynamic load threshold at the line centre accounted for 78.67%of that at the track position.Meanwhile,the distribution at the surface was saddle-shaped;the dynamic load threshold at the track position accounted for 79.55%of that at the line centre position.The fatigue damage of the ballastless slab track was analysed effectively by combining the measured data and the linear fatigue damage theory.Moreover,the accuracy of the calculation results was verified based on the measured dynamic stress of the ballastless slab track structure.The dynamic action of the train load led to more-concentrated damage to the track bed,and the damage occurred earlier than that in the ordinary line.The axle load was the primary influencing factor of the track bed fatigue damage,and the damage mainly occurred in the track position.These results provide a theoretical basis for performing stress analysis and designing parameters for ballastless slab tracks in heavy-haul railway tunnels.

A novel compensation method for polygonized mesa structures on(100) silicon substrate

A theoretical compensation method for polygonized mesa structures on（100） silicon substrate during the anisotropic etching process has been developed,which contains four stages as follows：prepare the information of the etching condition;predict the structure＇s undercutting profile;construct the topological structure of compensation patterns; and generate practical compensation patterns from the topological structure.The reasoning process is clearly stated,and detailed steps for the undercutting prediction and topological structure construction are summarized.Conclusions are also drawn about the rules which must be obeyed during the pattern generation process.The simulation and experimental results of some polygon structures are finally given to prove this method＇s validity and reliability.