Hexagonal close-packed (hcp) metals such as Mg, Ti, and Zr are lightweight and/or durable metals with critical structural applications in the automotive (Mg), aerospace (Ti), and nuclear (Zr) industries. The hcp structure, however, brings significant complications in the mechanisms of plastic deformation, strengthening, and ductility, and these complications pose significant challenges in advan...

The three main theoretical bases of the concepts of entropy and cross-entropy informationtheoretic, axiomatic and combinatorial are critically examined. It is shown that the combinatorial basis, proposed by Boltzmann and Planck, is the most fundamental (most primitive) basis of these concepts, since it provides (i) a derivation of the Kullback-Leibler cross-entropy and Shannon entropy functions...

This paper presents a new framework for human capital measurement. The generalized framework can (i) substantially amplify the role of human capital in accounting for cross-country income di¤erences and (ii) reconcile the existing con‡ict between regression and accounting evidence in assessing the wealth and poverty of nations. One natural interpretation emphasizes di¤erences across economies i...

Generalized cross validation (GCV) is one of the most important approaches used to estimate parameters in the context of inverse problems and regularization techniques. A notable example is the determination of the smoothness parameter in splines. When the data are generated by a state space model, like in the spline case, efficient algorithms are available to evaluate the GCV score with comple...

in this paper we consider selberg-type square matrices integrals with focus on kummer-beta types i & ii integrals. for generality of the results for real normed division algebras, the generalized matrix variate kummer-beta types i & ii are defined under the abstract algebra. then selberg-type integrals are calculated under orthogonal transformations.

this paper presents a model for constrained multiobjective optimization of mixed-cropping planning. the decision challenges that are normally faced by farmers include what to plant, when to plant, where to plant and how much to plant in order to yield maximum output. consequently, the central objective of this work is to concurrently maximize net profit, maximize crop production and minimize pl...

The unified hybrid censoring is a mixture of generalized Type-I and Type-II hybrid censoring schemes. This article presents the statistical inferences on Generalized Exponential Distribution parameters when the data are obtained from the unified hybrid censoring scheme. It is observed that the maximum likelihood estimators can not be derived in closed form. The EM algorithm for computing the ma...