Reliability and Validity Evaluation Based on Monte Carlo Simulations in Two-Stage Cluster Sampling on Sensitive Question Survey

2013 ◽  
pp. 647-654
Author(s):  
Zongda Jin ◽  
Hongru Zhu ◽  
Qiaoqiao Du ◽  
Xiangyu Chen ◽  
Ge Gao
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Reliability And Validity ◽  
Cluster Sampling ◽  
Two Stage ◽  
Sensitive Question ◽  
Question Survey ◽  
Validity Evaluation

Polynomial Approximation for Two Stage Stochastic Programming with Separable Objective

2012 ◽  
pp. 322-333
Author(s):  
Lijian Chen ◽  
Dustin J. Banet
Keyword(s):  
Monte Carlo ◽  
Stochastic Programming ◽  
Monte Carlo Simulations ◽  
Programming Model ◽  
Optimal Solution ◽  
Two Stage ◽  
Convex Objective Function ◽  
Stochastic Programming Model ◽  
Gradient Type ◽  
Norm Approximation

In this paper, the authors solve the two stage stochastic programming with separable objective by obtaining convex polynomial approximations to the convex objective function with an arbitrary accuracy. Our proposed method will be valid for realistic applications, for example, the convex objective can be either non-differentiable or only accessible by Monte Carlo simulations. The resulting polynomial is constructed by Bernstein polynomial and norm approximation models. At a given accuracy, the necessary degree of the polynomial and the replications are properly determined. Afterward, the authors applied the first gradient type algorithms on the new stochastic programming model with the polynomial objective, resulting in the optimal solution being attained.

Insight into the adsorption mechanism of benzene in HY zeolites: the effect of loading

RSC Advances ◽  
2016 ◽  
Vol 6 (41) ◽  
pp. 34175-34187 ◽  
Author(s):  
Huimin Zheng ◽  
Liang Zhao ◽  
Qing Yang ◽  
Shanqing Dang ◽  
Yuxian Wang ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Inflection Point ◽  
Adsorption Mechanism ◽  
Two Stage ◽  
Hy Zeolites ◽  
Insight Into

An interesting two-stage adsorption mechanism, defined as “ideal adsorption” and “insertion adsorption”, was first proposed for the benzene/HY system by Metropolic Monte Carlo simulations at loadings below and above an “inflection point”.

Low-voltage EDS of magnesium ferrite Dendrites in a FEG-SEM

1996 ◽  
Vol 54 ◽  
pp. 478-479
Author(s):  
Matthew T. Johnson ◽  
Ian M. Anderson ◽  
Jim Bentley ◽  
C. Barry Carter
Keyword(s):  
Monte Carlo ◽  
Quantitative Analysis ◽  
Monte Carlo Simulations ◽  
Cross Section ◽  
Spatial Resolution ◽  
Low Voltage ◽  
Magnesium Ferrite ◽  
X Ray ◽  
Interaction Volume ◽  
Ferrite Spinel

Energy-dispersive X-ray spectrometry (EDS) performed at low (≤ 5 kV) accelerating voltages in the SEM has the potential for providing quantitative microanalytical information with a spatial resolution of ∼100 nm. In the present work, EDS analyses were performed on magnesium ferrite spinel [(MgxFe1−x)Fe2O4] dendrites embedded in a MgO matrix, as shown in Fig. 1. spatial resolution of X-ray microanalysis at conventional accelerating voltages is insufficient for the quantitative analysis of these dendrites, which have widths of the order of a few hundred nanometers, without deconvolution of contributions from the MgO matrix. However, Monte Carlo simulations indicate that the interaction volume for MgFe2O4 is ∼150 nm at 3 kV accelerating voltage and therefore sufficient to analyze the dendrites without matrix contributions.Single-crystal {001}-oriented MgO was reacted with hematite (Fe2O3) powder for 6 h at 1450°C in air and furnace cooled. The specimen was then cleaved to expose a clean cross-section suitable for microanalysis.

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