After some suitable ordering of the residuals, et, t = 1, . . . , n, it is suggested that scatter plots of et+1 vs. et along with a robust smooth loess trend be routinely examined to check for lack of statistical independence. Such plots may be termed Poincaré plots because of their similarity to plots used in nonlinear dynamical systems. Poincaré plots are helpful in detecting positive correla...

Regression analysis is one of the most basic statistical tools for generating predictive models that describe the relationship between variables. Once a model has been generated, numerous goodness-of-fit measures are used to evaluate the degree to which the model characterizes the relationship between the variables under consideration. The analysis of regression residuals is one such measure, w...

this paper investigates the residual stress fields in the vicinity of weld bead in hsla-65 steel weldments using a neural network. this study consists of two cases: (i) the experimental analysis was carried out the measurements of residual stresses by xrd technique. many different specimens that were subjected to different conditions were studied. the values and distributions of residual stress...

Productivity is an important component of profitability, and therefore an important variable for monitoring and benchmarking exercises. This paper discusses the necessary accounting model as well as the various measurement problems one gets involved in. By virtue of its structural features, this model is applicable to individual firms and aggregates such as industries or economies. Though the m...

Germany has lower posttax income inequality than the United States and hence is doing better according to a strict egalitarian fairness ideal. On the other hand, the United States is doing better than Germany according to a libertarian fairness ideal, which states that people should be held fully responsible for their income. However, most people hold intermediate (responsibilitysensitive) posi...

A digit-recurrence algorithm for computing the Euclidean norm of a 3-dimensional vector is proposed. Starting from the vector component with the highest order of magnitude as the initial value of partial result, correcting-digits produced by the recurrence are added to it step by step. Partial products of the squares of the other two components are added to the residual, step by step. The addit...

Experimental investigation and numerical simulation of the influence of the strain rate in laser forming are presented. To isolate and effectively study the strain rate effects, which are temperature dependent, a ‘‘constant peak temperature’’ method is developed with the aid of numerical modeling and solution. Under the condition of the constant peak temperature, the effects of strain rate on f...