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Generalized modified ratio-cum-product kind exponentially estimator of the populations mean in stratified ranked set sample 分层排序集样本总体均值的广义修正比积类指数估计
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5657
Rikan A. Ahmed, Saja Mohammad Hussein
In this study, we present a proposal aimed at estimating the finite population's mean of the main variable by stratification rank set sample (S_{t}text{RSS}) through the modification made to generalized ratio-cum-product type exponential estimator. The relative bias (text{PRB}), Mean Squared Error (text{Mse}) and percentage relative efficiencies (text{PRE}) of the proposed modified estimator is obtained to the first degree of approximation. Conditions under which the proposed estimator is more efficient than the usual unbiased estimator, ratio, product type estimators, and some other estimators are obtained. Finally, the estimators' abilities are evaluated through the use of simulations, as showed that the proposed modified estimator is more efficient as compared to several other estimators.
在本研究中,我们提出了一种通过对广义比值积型指数估计量的修正,以分层秩集样本(S_{t}text{RSS})估计主变量的有限总体均值的建议。得到了改进估计器的相对偏差(text{PRB})、均方误差(text{Mse})和相对效率百分比(text{PRE})的一级近似。给出了该估计量比一般的无偏估计量、比值估计量、乘积估计量和其他一些估计量更有效的条件。最后,通过仿真对估计器的能力进行了评估,结果表明,与其他几种估计器相比,所提出的改进估计器更有效。
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引用次数: 1
Effects of guided discovery learning models on students' critical thinking ability on the materials of immune system 引导式发现学习模式对学生批判性思维能力的影响免疫系统教材
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5617
Dahlan Abdullah, S. Susilo, R. Romdanih, S. Sujinah
Critical thinking is a skill needed in the 4.0 era of education so to improve critical thinking requires the right method so that learning can develop students' critical thinking skills. The purpose of this study was to determine the effect of guided discovery learning models on students' critical thinking skills on the material of the immune system. This type of research is quasi-experimental and post-test only control group design. Samples were taken by cluster random sampling technique. A total of 69 students were made respondents divided into 2 classes, namely class XI IPA 2 (n = 35) and XI IPA 3 (n = 34). The research instrument in the form of multiple choice questions of critical thinking skills was used as a data collection tool. Data were analyzed using normality test, homogeneity test, and t test The results of this study indicate that there are significant differences between the experimental class and the control class with tcount (2,031)$mathrm{>}$ ttable (1,668). Conclusion: It can be concluded that the use of guided discovery learning models has an effect on students' critical thinking skills with the use of syntax involving students to actively think at a high level to hone their critical thinking skills.
批判性思维是教育4.0时代需要的技能,提高批判性思维需要正确的方法,学习才能培养学生的批判性思维能力。本研究的目的是确定指导性发现学习模式对学生在免疫系统材料上的批判性思维能力的影响。这种类型的研究是准实验和后测试的对照组设计。样本采用整群随机抽样技术。以批判性思维技能选择题形式的研究工具作为数据收集工具。采用正态性检验、齐性检验和t检验对数据进行分析。本研究结果表明,以tcount (2031)$ mathm{>}$表(1668),实验班与对照班之间存在显著差异。结论:使用引导性发现学习模式对学生的批判性思维能力有一定的影响,使用语法让学生在高水平上积极思考,磨练学生的批判性思维能力。
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引用次数: 1
The general implicit-block method with two-points and extra derivatives for solving fifth-order ordinary differential equations 求解五阶常微分方程的一般两点加附加导数隐块法
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5650
Mohammed Yousif Turki, Shaymaa Y. Alku, M. Mechee
In this work, a general implicit block method (GIBM) with two points for solving general fifth-order initial value problems (IVPs) has been derived. GIBM is proposed by adopting the basis functions of Hermite interpolating polynomials. GIBM is presented to be suitable with the numerical solutions of fifth-order IVPs. Hence, the derivation of GIBM has been introduced. Numerical implementations compared with the existing numerical GRKM method are used to prove the accuracy and efficiency of the proposed GIBM method. The impressive numerical results of the test problems using the proposed GIBM method agree well with the approximated solutions of them using the existing GRKM method.
本文给出了求解一般五阶初值问题的一般两点隐式块法(GIBM)。采用Hermite插值多项式的基函数提出了GIBM。证明了该方法适用于求解五阶ivp的数值解。因此,本文介绍了GIBM的推导过程。通过与现有数值GRKM方法的比较,验证了该方法的准确性和有效性。所提出的GIBM方法对试验问题的数值解与现有GRKM方法的近似解吻合较好。
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引用次数: 2
A comparative study on numerical, non-Bayes and Bayes estimation for the shape parameter of Kumaraswamy distribution Kumaraswamy分布形状参数的数值估计、非贝叶斯估计和贝叶斯估计的比较研究
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5756
M. Mahmoud, Amal A. Mohammed, Sudad K. Abraheem
This paper is considered with Kumaraswamy distribution. Numerical, non-Bayes and Bayes methods of estimation were used to estimate the unknown shape parameter. The maximum likelihood is obtained as a non-Bayes estimator. As well as, Bayes estimators under a symmetric loss function (De-groot and NLINEX) by using four types of informative priors three double priors and one single prior. In addition, numerical estimators are obtained by using Newton's method and the false position method. Simulation research is conducted for the comparison of the effectiveness of the proposed estimators. Matlab 2015 will be used to obtain the numerical results.
本文用Kumaraswamy分布来考虑。分别采用数值、非贝叶斯和贝叶斯估计方法对未知形状参数进行估计。最大似然是作为非贝叶斯估计量得到的。此外,在对称损失函数(De-groot和NLINEX)下,使用四种信息先验(三种双先验和一种单先验)进行贝叶斯估计。此外,利用牛顿法和假位置法得到了数值估计量。通过仿真研究,比较了所提估计器的有效性。将使用Matlab 2015来获得数值结果。
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引用次数: 0
Analysis of deep learning methods in diabetic retinopathy disease identification based on retinal fundus image 基于视网膜眼底图像的深度学习方法在糖尿病视网膜病变疾病识别中的应用分析
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5779
N. Nurrahmadayeni, S. Efendi, M. Zarlis
Diabetic retinopathy (DR) is a serious retinal disease and is considered the leading cause of blindness and is strongly associated with people with diabetes. Ophthalmologists use optical coherence tomography (OCT) and retinal fundus imagery to assess the retinal thickness, structure, and also detecting edema, bleeding, and scarring. Deep learning models are used to analyze OCT or fundus images, extract unique features for each stage of DR, then identify images and determine the stage of the disease. Our research using retinal fundus imagery is used to identify diabetic retinopathy disease, among others, using the Convolutional Neural Network (CNN) method. The methodology stage in the study was a green channel, Contrast Limited Adaptive Histogram Equalization (CLAHE), morphological close, and background exclusion. Next, a segmentation process is carried out that aims to generate binary imagery using thresholding techniques. Then the binary image is used as training data conducted epoch as much as 30 times to obtain an optimal training model. After testing, the deep learning method with the CNN algorithm obtained 95.355% accuracy in the identification of diabetic retinopathy disease based on fundus image in the retina.
糖尿病视网膜病变(DR)是一种严重的视网膜疾病,被认为是失明的主要原因,与糖尿病患者密切相关。眼科医生使用光学相干断层扫描(OCT)和视网膜眼底成像来评估视网膜的厚度、结构,并检测水肿、出血和疤痕。利用深度学习模型对OCT或眼底图像进行分析,提取DR各阶段的独特特征,进而对图像进行识别,确定疾病的分期。我们的研究使用视网膜眼底图像用于识别糖尿病视网膜病变疾病,其中包括使用卷积神经网络(CNN)方法。本研究的方法学阶段为绿色通道、对比度有限自适应直方图均衡化(CLAHE)、形态接近和背景排除。接下来,进行分割过程,旨在使用阈值分割技术生成二值图像。然后将二值图像作为训练数据进行30次历元,得到最优的训练模型。经过测试,基于CNN算法的深度学习方法在基于视网膜眼底图像的糖尿病视网膜病变识别中准确率达到95.355%。
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引用次数: 2
A new 0, 1 truncated inverse Weibull rayleigh distribution properties with application to COVID-19 一种新的0,1截断逆威布尔瑞利分布性质及其在COVID-19中的应用
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/ijnaa.2022.6026
M. A. Khaleel, A. Abdulwahab, A. M. Gaftan, M. K. Abdal-Hammed
In this paper, we introduce a new 2-parameters family of distributions named [0,1] Truncated Inverse Weibull - G family ([0,1] TIW-G) family, to generate new types of continues distributions. A special model namely, [0,1] Truncated Inverse Weibull Rayleigh distribution ([0,1] TIWR) distribution is considered and defined and some of the statistical properties are derived. Parameter's estimations using MLE method is provided and a simulation is given to determine the accuracy of the method used above. To demonstrate the utility of the distribution in nowday's applications, we explore and investigate the death rates of COVID-19 in Iraq in the period from 14 December 2020 to 30 April 2021.
本文引入了一种新的2参数分布族,称为[0,1]截断逆威布尔-G族([0,1]TIW-G)族,以生成新的连续分布类型。考虑并定义了一种特殊的模型,即[0,1]截断逆威布尔瑞利分布([0,1]TIWR)分布,并推导了一些统计性质。给出了用最大似然估计法进行参数估计的方法,并通过仿真验证了该方法的精度。为了证明这种分布在当今应用中的效用,我们探索和调查了2020年12月14日至2021年4月30日期间伊拉克COVID-19的死亡率。
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引用次数: 0
Some common fixed point theorems for strict contractions 严格压缩的几个常用不动点定理
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2019.17470.1937
M. A. Ahmed
The extension of Aamri and El Moutawakil's property [1] to set-valued mappings arena is given. Also, some common fixed point theorems for strict contractions are established. these theorems extend results in [1,8].
给出了Aamri和El Moutawakil的性质[1]在集值映射领域的推广。同时,给出了严格压缩的一般不动点定理。这些定理扩展了[1,8]中的结果。
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引用次数: 0
CFD Analysis of piston bowls geometry for CI direct injection engine using finite element analysis 基于有限元分析的CI直喷发动机活塞碗几何结构CFD分析
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2021.24710.2801
P. P. Varma, K. Subbaiah
Both NOx and soot emissions are major concerns in compression ignition (CI) engine with diesel fuel and the enhancement of variety of fuel and air can increase the performance of combustion engine. There are several methods to enhance the variety of air-fuel within the cylinder. Altering the geometry of piston bowl is one of the methods to improve the air-fuel mixture. This article proposes the effect of piston bowl geometry on the direct injection diesel engine performance and emissions, where various profiles of piston bowl referred as hemispherical combustion chamber (HCC), toroidal combustion chamber (TCC) and shallow depth combustion chamber (SCC) are designed using computer aided design and drafting (CADD) tool and ANSYS workbench is adopted for analysis. In addition, Karanja oil mixed with base fluid diesel at different volume fractions like0.2%, 0.3% and 0.4% and are calculated for their combination properties. Further, theoretical calculations are considered to determine the properties of Nano fluids which are later used as inputs for the analysis. Finally, CFD analysis is employed on different geometries at different fluid volume fractions and thermal analysis is done for piston bowl geometries with different composite materials like carbon fiber and armide fiber.
氮氧化物和烟尘排放是柴油机压缩点火(CI)的主要问题,增加燃料和空气的多样性可以提高内燃机的性能。有几种方法可以提高气缸内空气燃料的多样性。改变活塞碗的几何形状是改善空燃混合气的方法之一。本文提出了活塞碗几何形状对直喷柴油机性能和排放的影响,利用计算机辅助设计与绘制(CADD)工具设计了半球形燃烧室(HCC)、环形燃烧室(TCC)和浅深度燃烧室(SCC)的不同形状的活塞碗,并采用ANSYS workbench进行了分析。此外,Karanja油以不同的体积分数(如0.2%、0.3%和0.4%)与基础流体柴油混合,并计算其组合性能。此外,理论计算被用来确定纳米流体的性质,这些性质后来被用作分析的输入。最后对不同流体体积分数下的不同几何形状进行CFD分析,并对碳纤维、酰胺纤维等不同复合材料的活塞碗几何形状进行热分析。
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引用次数: 0
Blow up of solutions for a r(x)-Laplacian Lam'{e} equation with variable-exponent nonlinearities and arbitrary initial energy level 具有变指数非线性和任意初始能级的r(x)-拉普拉斯Lam'{e}方程解的爆破
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2021.23671.2578
M. Shahrouzi
In this paper, we consider the nonlinear $r(x)-$Laplacian Lam'{e} equation $$ u_{tt}-Delta_{e}u-divbig(|nabla u|^{r(x)-2}nabla ubig)+|u_{t}|^{m(x)-2}u_{t}=|u|^{p(x)-2}u $$ in a smoothly bounded domain $Omegasubseteq R^{n}, ngeq1$, where $r(.), m(.)$ and $p(.)$ are continuous and measurable functions. Under suitable conditions on variable exponents and initial data, the blow-up of solutions is proved with negative initial energy as well as positive.
本文考虑光滑有界域$Omegasubseteq R^{n}, ngeq1$上的非线性{}$r(x)-$拉普拉斯Lam'e方程$$ u_{tt}-Delta_{e}u-divbig(|nabla u|^{r(x)-2}nabla ubig)+|u_{t}|^{m(x)-2}u_{t}=|u|^{p(x)-2}u $$,其中$r(.), m(.)$和$p(.)$是连续可测函数。在变指数和初始数据的适当条件下,证明了解的初始能量为正或负。
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引用次数: 3
Comparing predicative power of foreign adjusted bankruptcy through providing proposed model of bankruptcy in Iran 通过提出伊朗破产模型,比较国外调整破产的预测能力
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2021.24005.2651
M. Sarhadi, F. Mansouri, Mahdi Faghani
The aim of the present study was to compare the productive power of foreign adjusted bankruptcy by providing a proposed model of bankruptcy in Iran. This research is applied in terms of purpose and descriptive and correlational in terms of nature which through that bankruptcy models are studied according to the Shumway's hazard model (2001), and in the form of a logit model and accounting are evaluated based on Pourheydari's and Koopayee's model (2010). Accordingly, a sample including1287 years, the company from 2006 to 2018 has been selected from Tehran Stock Exchange. For statistical hypothesis testing, receiver operating characteristics (ROC) was applied. Receiver operating characteristics is applicable in software like SAS, SPSS, and STATA. The results showed that Shumway's model (2001) provides a more accurate bankruptcy prediction of companies and this is the sign of superiority of the hazard model over classic models.
本研究的目的是通过提供一个拟议的伊朗破产模型来比较外国调整破产的生产力。本研究在目的和描述性和相关性方面的应用,通过破产模型根据Shumway的风险模型(2001)进行研究,并以logit模型的形式根据Pourheydari和Koopayee的模型(2010)进行会计评估。因此,从德黑兰证券交易所选取了2006年至2018年的1287家公司作为样本。采用受试者工作特征(ROC)进行统计假设检验。接收机工作特性适用于SAS、SPSS、STATA等软件。结果表明,Shumway模型(2001)对企业破产的预测更为准确,这是风险模型相对于经典模型的优越性。
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引用次数: 0
期刊
International Journal of Nonlinear Analysis and Applications
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