Mean Difference and Mean Deviation of Tukey Lambda Distribution

The purpose of this paper is to broaden the knowledge of mean difference and, in particular, of an important distribution model known as Tukey lambda, which is generally used to choose a model to fit data. We have obtained compact formulas, which are not yet reported in literature, of mean deviation and mean difference related to the said distribution model. These results made it possible to analyze the relationships among variability indexes, namely standard deviation, mean deviation and mean difference, regarding Tukey lambda model.

The Mean Deviation from the Median of the Dagum Distribution

The Dagum model is particularly suitable for the analysis of the distributions of economic quantities, such as income, assets and consumption. The purpose of this note is to derive the expression of the mean deviation from the median of the Dagum distribution to study the behavior of the scale and shape parameters in terms of absolute variability and in terms of relative variability.

Analysis of glistenings in hydrophobic acrylic intraocular lenses on visual performance

AIM:To assess patients' visual performance with glistenings in one piece soft hydrophobic acrylic intraocular lenses(IOLs)(Alcon)2y postoperatively.METHODS:This cross section trial included 120 eyes with one piece IOL at 2y postoperatively.Glistening was classified in 4 groups,ranging from 0(none)to 3(most evident)according to their severity in IOLs optics observed under a slit lamp.All eyes underwent a uncorrected and best-corrected visual acuity evaluation(UCVA and BCVA,LogMAR scale),a complete clinical examination,a contrast sensitivity(CS)evaluation by F.A.C.T chart,and a visual field test by Humphrey Field AnalyzerⅡ(HFA).One-way ANOVA was used for quantitative data,while Pearsonχ2test was used for qualitative data to analyze the visual function of 4glistening groups.RESULTS:Totally 120 eyes were enrolled with 30 eyes in each glistening group.There was no statistical correlation between glistening grades and patients'age,IOLs power,postoperative UCVA and BCVA(P>0.05).Quantificationally,CS values among each group were not statistically different.However,qualitative analysis showed there were more eyes in grade 3 group than in grade 0 group having abnormally declined CS at high spatial frequency(10%vs 36.7%at 18 cpd,P=0.029;6.7%vs 26.7%at 12 cpd,P=0.013).Mean deviation(MD)of the visual field test was-2.14±2.31,-1.97±2.23,-3.02±3.17,-4.12±3.38 in group 0 to 3 respectively.There was a significant decrease in the most serious glistenings group(P=0.018).CONCLUSION:Glistenings may potentially have an impact on contrast sensitivity at high spatial frequency and MD in visual field test.

Beta-Exponentiated Ishita Distribution and Its Applications

This article develops a beta-exponentiated Ishita distribution that extends the exponentiated Ishita distribution. Expansions for the cumulative distribution and probability density functions are given. Various properties of the new distribution such as hazard function, moments, cumulants, skewness, kurtosis, mean deviations, Bonferroni and Lorenz curves, Rényi and Tsallis entropies, and stress-strength reliability are discussed. Moment generating function and characteristic function of the new model were derived. Distribution and the moment of order statistic have been derived. The method of maximum likelihood was used for estimation of parameters. The new model is quite flexible in analysing positively skewed data. Two real datasets are used to demonstrate the flexibility of the new distribution.

洗涤用蛋白酶PB92的分子动力学模拟

以蛋白酶PB92结构为基础,分别对无底物结合和有底物结合的蛋白酶PB92进行了分子动力学(MD)模拟来研究其动力学特性,研究得到了有、无底物结合的蛋白酶PB92的结构性质,并进行了比较,进而评估与底物结合后蛋白酶PB92在结构性特征以及稳定性上发生的一系列变化。实验结果表明,在动力学模拟过程中,有底物结合的蛋白酶PB92的构象比无底物结合的蛋白酶PB92的构象更加致密稳定,表现出符合“诱导契合”反应的模式。对未来更适用于洗涤用品工业的蛋白酶性能和结构的开发提供理论基础和指引。

Evaluation of regional water security using water poverty index

Water security is a widely concerned issue in the world nowadays.A new method,water poverty index(WPI),was applied to evaluate the regional water security.Twelve state farms in Heilongjiang Province,Northeastern China were selected to evaluate water security status based on the data of 2006 using WPI and mean deviation grading method.The method of WPI includes five key indices:resources(R),access(A),capacity(C),utilization(U)and environment(E).Each key index further consists of several sub-indices.According to the results of WPI,the grade of each farm was calculated by using the method of mean deviation grading.Thus,the radar images can be protracted of each farm.From the radar images,the conclusions can be drawn that the WPI values of Farm 853 and Hongqiling are under very safe status,while that of Farm Raohe is under safe status,those of Farms Youyi,597,852,291 and Jiangchuan are under moderate safe status,that of Farm Beixing is under low safe status and those of Farm Shuangyashan,Shuguang and Baoshan are under unsafe status.The results from this study can provide basic information for decision making on rational utilization of water resources and regulations for regional water safety guarantee system.