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Analysis of unit level models for small area estimation in crop statistics assisted with satellite auxiliary information 卫星辅助信息辅助下作物统计小区域估计的单位级模型分析
Q4 Mathematics Pub Date : 2023-06-15 DOI: 10.3233/mas-221416
P. M. Jaslam, M. Kumar, N. Bhardwaj, Salinder, Vikash Kumar , Sumit
Crop statistics for a small area, such as the community development block, are an increasingly important topic in agricultural statistics. Under normality assumptions, the classic Empirical Best Linear Unbiased Prediction (EBLUP) technique is effective for predicting small area means, however the Small Area Estimation (SAE) model can be heavily affected by the incidence of outliers or deviations from the expected distribution. The purpose of this study was to estimate variance, predict block-level wheat crop yield in the Hisar and Sirsa district of Haryana by classical SAE method and a robust random-effect predictor using a slight generalization of Huber’s Proposal 2. In the case of Sirsa district, the results of classical and robust unit level SAE were very close, but not in the case of Hisar district. This could be due to the influential observation found in the Hisar data set. More accurate EBLUP wheat yield estimates are obtained when the Huber-type M-estimation method is initialized by the least square regression estimator.
小区小区等小区域作物统计是农业统计中日益重要的课题。在正态性假设下,经典的经验最佳线性无偏预测(EBLUP)技术对于预测小区域均值是有效的,但是小区域估计(SAE)模型可能会受到异常值发生率或偏离预期分布的严重影响。本研究的目的是估计方差,通过经典的SAE方法预测哈里亚纳邦Hisar和Sirsa地区的小麦作物产量,并使用Huber建议2的轻微推广进行稳健的随机效应预测。在Sirsa地区,经典和鲁棒单元级SAE的结果非常接近,但在Hisar地区则不是这样。这可能是由于在Hisar数据集中发现的有影响的观测结果。用最小二乘回归估计器初始化huber型m估计方法,可以得到更准确的EBLUP小麦产量估计。
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引用次数: 0
Correlated compound geometric frailty models based on reversed hazard rate 基于反向风险率的相关复合几何脆弱性模型
Q4 Mathematics Pub Date : 2023-06-15 DOI: 10.3233/mas-221414
David D. Hanagal
Frailty models are used in the survival analysis to account for the unobserved heterogeneity in individual risks to disease and death. To analyze the bivariate data on related survival times (e.g. matched pairs experiments, twin or family data), the shared frailty models were suggested. Shared frailty models are used despite their limitations. To overcome their disadvantages correlated frailty models may be used. In this paper, we introduce the correlated compound geometric frailty models based on reversed hazard rate with three different baseline distributions namely, the generalized log-logistic type I, the generalized log-logistic type II and the modified inverse Weibull. We introduce the Bayesian estimation procedure using Markov Chain Monte Carlo (MCMC) technique to estimate the parameters involved in these models. We present a simulation study to compare the true values of the parameters with the estimated values. We also apply the proposed models to the Australian twin data set and a better model is suggested.
脆弱性模型用于生存分析,以解释未观察到的个体疾病和死亡风险的异质性。为了分析相关生存时间的双变量数据(例如配对实验、双胞胎或家庭数据),提出了共享虚弱模型。尽管存在局限性,但仍使用共享脆弱性模型。为了克服它们的缺点,可以使用相关的脆弱性模型。在本文中,我们引入了基于反向风险率的相关复合几何脆弱性模型,该模型具有三种不同的基线分布,即广义log-logistic类型I、广义log-logistic类型II和修正的逆威布尔。我们介绍了使用马尔可夫链蒙特卡罗(MCMC)技术来估计这些模型中涉及的参数的贝叶斯估计过程。我们进行了一项模拟研究,将参数的真实值与估计值进行比较。我们还将所提出的模型应用于澳大利亚双胞胎数据集,并提出了一个更好的模型。
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引用次数: 0
COVID-19 and online teaching in higher education: A discrete choice experiment COVID-19与高等教育在线教学:一个离散选择实验
Q4 Mathematics Pub Date : 2023-06-15 DOI: 10.3233/mas-221403
E. Nyarko, Eddie Agyemang, D. Arku
The Sars-Cov-2 coronavirus outbreak significantly impacted Ghana’s educational system, driving schools to close campuses and swiftly deploy online instruction. This study evaluated e-teaching in higher education amidst the Sars-Cov-2 coronavirus by using the University of Ghana as a case study. Specifically, the study investigated university instructors’ preferences for online instructional strategies to enable higher educational institutions to transit smoothly into online teaching and learning. With the help of a face-to-face questionnaire administration, this cross-sectional study used a discrete choice experiment design to capture the responses of 230-course instructors. The analysis of the survey data obtained was possible using the multinomial logit model. Our results revealed that a recorded lecture video had the highest preference among the course instructors, breakdown of teaching content for approximately 30 to 45 minutes, providing online tutorials, and online support/video tutoring from teaching assistants were the important instructional attributes to help higher educational institutions transition into online teaching and learning.
新冠肺炎疫情严重影响了加纳的教育体系,迫使学校关闭校园,并迅速部署在线教学。本研究以加纳大学为例,对Sars-Cov-2冠状病毒背景下的高等教育电子教学进行了评估。具体而言,本研究调查了大学教师对在线教学策略的偏好,以使高等教育机构顺利过渡到在线教学和学习。在面对面问卷管理的帮助下,本横断面研究采用离散选择实验设计来捕捉230门课程教师的回答。对所获得的调查数据进行分析可以使用多项逻辑模型。研究结果显示,教师最倾向于录播教学视频,将教学内容分解为约30 - 45分钟,提供在线辅导,以及助教的在线支持/视频辅导是帮助高等院校过渡到在线教学和学习的重要教学属性。
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引用次数: 0
Heuristics approach for the Holt-Winters multiplicative method with new initial values 具有新初始值的Holt-Winters乘法方法的启发式方法
Q4 Mathematics Pub Date : 2023-06-15 DOI: 10.3233/mas-221415
Victor Anthonysamy, Khadar Babu, C. Chesneau
When trend and seasonality are detected, the Holt-Winters multiplicative approach is one of the most commonly used methods for forecasting time series data. Choosing the proper initial values for level, trend, and seasonality plays a vital role in this method. In this paper, a new and efficient procedure to choose the initial values for the Holt-Winters multiplicative method is developed. A total of 12 types of agricultural satellite backscatter values are used for analysis, estimated, and compared with the existing Hansun and Holt-Winters methods and the proposed initial setting method with the best smoothing constants. According to the analysis of the mean absolute percentage error, symmetric mean absolute percentage error, Theil-U statistics, and root mean squared error, the proposed approaches outperformed the existing methods in this experiment.
当检测到趋势性和季节性时,Holt-Winters乘法方法是预测时间序列数据最常用的方法之一。为水平、趋势和季节性选择合适的初始值在这种方法中起着至关重要的作用。本文提出了一种新的、有效的Holt-Winters乘性方法初值选择方法。共使用12种类型的农业卫星反向散射值进行分析、估计,并与现有的Hansun和Holt-Winters方法以及所提出的具有最佳平滑常数的初始设置方法进行比较。根据对平均绝对百分比误差、对称平均绝对百分比错误、Theil-U统计量和均方根误差的分析,在本实验中,所提出的方法优于现有方法。
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引用次数: 0
The exponential power-G family of distributions: Properties, simulations, regression modeling and applications 指数幂- g族分布:性质、模拟、回归建模和应用
Q4 Mathematics Pub Date : 2023-06-15 DOI: 10.3233/mas-221400
Alexsandro A. Ferreira, G. Cordeiro
The new exponential power-G is introduced following Alzaatreh et al. (2013). Some of its main statistical properties are provided in terms of the exponentiated-G properties. Maximum likelihood estimation and simulations are addressed using the log-logistic for the baseline distribution. The log-exponential power log-logistic regression model is constructed and applied to censored data. The utility of the new models is proved by means of two real data sets.
新的指数幂- g是继Alzaatreh等人(2013)之后引入的。它的一些主要统计性质是根据指数g性质提供的。最大似然估计和模拟是使用基线分布的逻辑逻辑来解决的。建立了对数指数幂对数逻辑回归模型,并将其应用于截尾数据。通过两个实际数据集验证了新模型的实用性。
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引用次数: 0
Non-compliance to Benford distribution as the portfolio default rate determinant in online retail lending 不遵守Benford分布作为在线零售贷款组合违约率的决定因素
Q4 Mathematics Pub Date : 2023-06-15 DOI: 10.3233/mas-221404
H. Penikas
There is large online lending growth in volume world-wide. The credit risk concerns point to the fact that most of these loans might be used to redeem earlier borrowed funds. However, the true reasons for online borrowing and lending are unavailable. Benford law is one of the tools used by auditors to monitor how suspicious the transaction is. That is why I wish to study one of the publicly available lending portfolios. Our objective is to trace associativity of compliance to Benford law and reported default rates. I find that MAE is a more statistically significant determinant of the country portfolio default rate, than RMSE. Moreover, the least creditworthy portfolios seem to be those with the MAE around 52–56%, while the closest to Benford and the least adjacent distribution do not demonstrate that large default rates.
全球范围内的在线贷款数量大幅增长。对信贷风险的担忧表明,这些贷款中的大部分可能被用于赎回之前借入的资金。然而,网上借贷的真实原因尚不清楚。Benford法是审计师用来监控交易可疑程度的工具之一。这就是为什么我想研究一个公开的贷款组合。我们的目标是追踪遵守本福德法律和报告违约率的关联性。我发现MAE是国家投资组合违约率的一个更具统计意义的决定因素,而不是RMSE。此外,信誉最差的投资组合似乎是MAE约为52-56%的投资组合,而最接近Benford和分布最不相邻的投资组合并没有显示出较大的违约率。
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引用次数: 0
The unfolding mystery of the numbers: First and second digits based comparative tests and its application to Ghana’s elections 数字之谜:基于第一和第二位数的比较测试及其在加纳选举中的应用
Q4 Mathematics Pub Date : 2023-06-15 DOI: 10.3233/mas-221418
Eddie Agyemang, E. N. Nortey, R. Minkah, K. Asah-Asante
This study focuses on the use of digits-based test in anomaly detection in presidential elections in Ghana. Even though Ghana has conducted several successful elections to elect presidents, the outcomes of the elections have been challenged in courts on allegations of vote rigging and fraud. It has been established in the literature that for an election to be anomaly free, the following should be satisfied: the distribution of voters turn-out, the winners’ share and total valid votes cast in the election should be uni-modal. Therefore, we assess the applicability of both first and second digits-based tests to aid in the detection of possible anomaly in the 2016 and 2020 presidential election results data in Ghana. The Benford frequency distribution and Spearman rank correlation coefficient tests were used for the analysis of data obtained from the Electoral Commission of Ghana. The results show that the observed first digits distributions of valid vote counts for both New Patriotic Party (NPP) and National Democratic Congress (NDC), and the total valid votes cast (TVVC), in 2016 and 2020 are consistent with the distributional pattern of first digits postulated by Benford’s Law. However, the findings of the distribution of second digits of the valid vote counts for NPP and total valid vote cast in both 2016 and 2020 elections do not satisfy the probability distributional pattern of second digits according to the Benford’s Law. In view of these, we recommend using the first two digits-based tests to check for consistency of possible election anomaly between the first and second digits since it conveys more information.
本研究的重点是基于数字的测试在加纳总统选举异常检测中的应用。尽管加纳已经成功举行了几次总统选举,但选举结果仍因涉嫌操纵选票和舞弊而在法庭上受到质疑。文献中已经确定,为了使选举没有异常现象,应该满足以下条件:选民的分布、获胜者的份额和选举中的有效选票总数应该是单一的。因此,我们评估了基于第一位数和第二位数的测试的适用性,以帮助检测加纳2016年和2020年总统选举结果数据中可能存在的异常。Benford频率分布和Spearman秩相关系数检验用于分析从加纳选举委员会获得的数据。结果表明,2016年和2020年观察到的新爱国党(NPP)和全国民主代表大会(NDC)有效票数的第一位数分布以及有效投票总数(TVVC)与本福德定律假设的第一位数的分布模式一致。然而,2016年和2020年选举中NPP有效票数的第二位数和总有效票数的分布结果并不满足本福德定律规定的第二位数字的概率分布模式。鉴于此,我们建议使用基于前两位数字的测试来检查第一位和第二位数字之间可能的选举异常的一致性,因为它传递了更多信息。
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引用次数: 1
Identifying target customer needs for a Master’s Degree Program in Industrial Engineering by conjoint analysis and Kano model 通过联合分析和卡诺模型确定工业工程硕士学位课程的目标客户需求
Q4 Mathematics Pub Date : 2023-06-15 DOI: 10.3233/mas-221409
N. Phumchusri, Mookarin Thongoiam
Customer satisfaction has become a key factor in strategic work of many institutions towards the increasing competition regarding student recruitment. This paper presents a systematic approach to identify customer needs for a Master’s Degree Program in Industrial Engineering based on target students’ needs in the view of new product development. The approach consists of two methods: Choice-based conjoint analysis and Kano model. Conjoint analysis is used to explore important scores of each attribute of the program, i.e., specialist concentration, class period, research type, teaching language, teaching format, and tuition fee. Also, the popularity of levels in each attribute are identified. Latent class model is used to identify different clusters of target customers. The result indicates two different segments of different preferences. The heterogeneity of needs and preference is characterized mainly in levels of specialist concentration preference as well as other attributes such as tuition fee. Other attributes such as interdisciplinary, cooperate program, work experience requirement and group (with presence/absence option) are analyzed by Kano model to identify their categories, i.e., how important they are. This research contributes in the literature as a pioneer in applying these two methods to gain customer perception insights about new Master’s curriculum development for education industry.
面对日益激烈的招生竞争,客户满意度已成为许多院校战略工作的关键因素。本文从新产品开发的角度出发,基于目标学生的需求,提出了一种系统的方法来确定工业工程硕士学位课程的客户需求。该方法包括两种方法:基于选择的联合分析和Kano模型。采用联合分析的方法,探究该项目各属性的重要分值,即专业集中度、课时、研究类型、教学语言、教学形式、学费。此外,还确定了每个属性中级别的流行程度。潜在类别模型用于识别不同类型的目标客户。结果表明,两个不同的细分市场有不同的偏好。需求和偏好的异质性主要表现在专业集中偏好水平以及学费等其他属性上。其他属性,如跨学科、合作项目、工作经验要求和团队(有出席/缺席选项),通过Kano模型进行分析,以确定它们的类别,即它们的重要性。本研究在应用这两种方法来获得消费者对教育行业新硕士课程开发的感知洞察方面,是文献上的先驱。
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引用次数: 0
A random coefficient integer autoregressive model of order one with seasonal structure (RCINAR(1)s) 具有季节结构的一阶随机系数整数自回归模型(RCINAR(1)s)
Q4 Mathematics Pub Date : 2023-03-24 DOI: 10.3233/mas-211333
Manik Awale, A. Kashikar
Seasonality is an inherent part of most of the epidemic data. The fixed coefficient INAR(1) models with seasonal structure have been studied by many authors. The varying immunity and susceptibility affect the chances of catching or escaping an infection. This brings in the randomness in the phenomenon of the spread of the diseases. The fixed coefficient INAR models assume that the chance of infection remains the same for every individual, which is not true practically and hence one needs to study the disease spread phenomenon using random coefficient INAR models. The parameters of the proposed model have been estimated using quasi maximum likelihood estimation. Various probabilistic and inferential properties of the model have been studied. A simulation study has been carried out for parameter estimation. Two data sets having seasonal structures have been analyzed using the model. The model fits well to the data sets compared to the existing models.
季节性是大多数流行病数据的固有部分。许多作者研究了具有季节结构的固定系数INAR(1)模型。不同的免疫力和易感性会影响感染或逃避感染的机会。这带来了疾病传播现象的随机性。固定系数INAR模型假设每个人的感染机会都是相同的,这在实践中是不正确的,因此需要使用随机系数INAR模式来研究疾病传播现象。所提出的模型的参数已经使用准最大似然估计进行了估计。已经研究了该模型的各种概率和推理性质。对参数估计进行了仿真研究。使用该模型对具有季节结构的两个数据集进行了分析。与现有模型相比,该模型非常适合数据集。
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引用次数: 0
Short-term forecast of U.S. COVID mortality using excess deaths and vector autoregression 使用超额死亡和向量自回归对美国新冠肺炎死亡率的短期预测
Q4 Mathematics Pub Date : 2023-03-24 DOI: 10.3233/mas-221392
Tom Britt, Jack Nusbaum, Alexandra Savinkina, A. Shemyakin
We analyze overall mortality in the U.S. as a whole and several states in particular in order to make conclusions regarding timing and strength of COVID pandemic effect from an actuarial risk analysis perspective. No effort is made to analyze biological or medical characteristics of the pandemic. We use open data provided by CDC, U.S. state governments and Johns Hopkins University. In the first part of the paper, we suggest time series analysis (ARIMA) for weekly excess U.S. mortality in 2020 as compared to several previous years’ experience in order to build a statistical model and provide short-term forecast based exclusively on historical mortality data. In the second half of the paper, we also analyze weekly COVID cases, hospitalizations and deaths in 2020 and 2021. Two midwestern states, Minnesota and Wisconsin, along with geographically diverse Colorado and Georgia, are used to illustrate global and local patterns in the COVID pandemic data. We suggest vector autoregression (VAR) as a method of simultaneous explanatory and predictive analysis of several variables. VAR is a popular tool in econometrics and financial analysis, but it is less common in problems of risk management related to mortality analysis in epidemiology and actuarial practice. Efficiency of short-term forecast is illustrated by observing the effect of vaccination on COVID development in the state of Minnesota in 2021.
我们分析了整个美国,特别是几个州的总体死亡率,以便从精算风险分析的角度就新冠肺炎疫情影响的时间和强度得出结论。没有努力分析这一流行病的生物学或医学特征。我们使用美国疾病控制与预防中心、美国各州政府和约翰斯·霍普金斯大学提供的开放数据。在论文的第一部分,我们建议与前几年的经验相比,对2020年美国每周超额死亡率进行时间序列分析(ARIMA),以建立统计模型,并仅基于历史死亡率数据提供短期预测。在论文的后半部分,我们还分析了2020年和2021年的每周新冠肺炎病例、住院人数和死亡人数。中西部的两个州,明尼苏达州和威斯康星州,以及地理位置多样化的科罗拉多州和佐治亚州,被用来说明新冠肺炎疫情数据中的全球和地方模式。我们建议向量自回归(VAR)作为一种同时对几个变量进行解释和预测分析的方法。VAR是计量经济学和金融分析中流行的工具,但在流行病学和精算实践中与死亡率分析相关的风险管理问题中不太常见。通过观察2021年明尼苏达州疫苗接种对新冠肺炎发展的影响,说明了短期预测的有效性。
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引用次数: 2
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Model Assisted Statistics and Applications
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