This article discusses the problem of estimation of parameters in finite mixtures when the mixture components are assumed to be symmetric and to come from the same location family. We refer to these mixtures as semiparametric because no additional assumptions other than symmetry are made regarding the parametric form of the component distributions. Because the class of symmetric distributions i...

In many applications such as color image processing, data has more than one piece of information associated with each spatial coordinate, and in such cases the classical optimal mass transport (OMT) must be generalized to handle vector-valued or matrix-valued densities. In this paper, we discuss the vector and matrix optimal mass transport and present three contributions. We first present a rig...

This paper focuses on nonparametric efficiency analysis based on robust estimation of partial frontiers in a complete multivariate setup (multiple inputs and multiple outputs). It introduces a-quantile efficiency scores. A nonparametric estimator is proposed achieving strong consistency and asymptotic normality. Then if a increases to one as a function of the sample size we recover the properti...

Adaptive optimal design with a cost constraint is considered, both for LS estimation in nonlinear regression and ML estimation in Bernoulli-type experiments, with possible applications in clinical trials. We obtain the strong consistency of the estimators for designs over a finite space, both when the cost level is fixed (and the adaptive design converges to an optimum constrained design) and w...

in this study. optimum allocation of heat transfer inventory for heat exchangers in a refrigeration system with specified power input or cooling capacity. and for a heat pump with specified heating capacity is investigated. the ratio of hot- to cold-end conductance unit cost ratio. g.was considered in the analysis as an additional variable of considerable importance to the designer summarized e...

in this paper, we introduce the notion of primal strong co-ideals and give some results involving them. it is shown thatsubtractive strong co-ideals are intersection of all primal strong co-ideals that contain them. also we prove that the representation of strong co-ideals as reduced intersections of primal strong co-ideals is unique.

  A new bioactive proline-rich cyclohexapeptide - diandrine C (6), previously isolated from whole plant of Drymaria diandra (Caryophyllaceae), was synthesized through coupling reactions of tetrapeptide unit Boc-Gly-l-Pro-l-Tyr-l-Trp-OH with dipeptide unit l-Pro-Gly-OMe using N,N-diisopropylcarbodiimide (DIPC) as the coupling agent, followed by cyclization of l...

  A new bioactive proline-rich cyclohexapeptide - diandrine C (6), previously isolated from whole plant of Drymaria diandra (Caryophyllaceae), was synthesized through coupling reactions of tetrapeptide unit Boc-Gly-l-Pro-l-Tyr-l-Trp-OH with dipeptide unit l-Pro-Gly-OMe using N,N-diisopropylcarbodiimide (DIPC) as the coupling agent, followed by cyclization of l...