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Dynamics of survey responses before and during the pandemic: entropy and dissimilarity measures app 大流行之前和期间调查反应的动态:熵和不相似性测量app
Q4 Mathematics Pub Date : 2023-03-15 DOI: 10.59170/stattrans-2023-027
Emilia Tomczyk
This article is set within the framework of studies focusing on the impact of the SARS-CoV-2 virus on the dynamics of economic activity. For the purposes of the analysis of the expectations expressed in business tendency surveys, the paper aims to verify whether the pandemic of 2020-2022 can be seen as just another contraction phase. Entropy and dissimilarity measures are employed to study the characteristics of the expectations and assessments expressed in the business tendency survey of Polish manufacturing companies. The empirical results show that the dynamics of the manufacturing sector data, particularly as far as general economic conditions are concerned, set the pandemic period apart. The economic consequences of the COVID-19 pandemic expressed in business tendency surveys tend to be unfavourable, but the statistical properties or the degree of the concentration of respondents’ answers do not correspond closely either to the expansion or contraction phases of the business cycle.
这篇文章是在专注于严重急性呼吸系统综合征冠状病毒2型病毒对经济活动动态影响的研究框架内发表的。为了分析商业趋势调查中表达的预期,本文旨在验证2020-2022年的疫情是否可以被视为另一个收缩阶段。采用熵和相异性度量来研究波兰制造企业商业趋势调查中表达的期望和评估的特征。实证结果表明,制造业数据的动态,特别是就总体经济状况而言,使疫情期间与众不同。商业趋势调查中表达的新冠肺炎大流行的经济后果往往是不利的,但统计属性或受访者答案的集中程度与商业周期的扩张或收缩阶段都不密切对应。
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引用次数: 0
New generators for minimal circular generalised neighbour designs in blocks of two different sizes 在两个不同尺寸的块中,为最小圆形一般邻居设计的新发电机
Q4 Mathematics Pub Date : 2023-03-15 DOI: 10.59170/stattrans-2023-021
Muhammad Nadeem, Khadija Noreen, H. M. Kashif Rasheed, Rashid Ahmed, Mahmood Ul Hassan
Minimal neighbour designs (NDs) are used when a response of a treatment (direct effect) is affected by the treatment(s) applied in the neighbouring units. Minimal generalised NDs are preferred when minimal NDs cannot be constructed. Through the method of cyclic shifts (Rule I), the conditions for the existence of minimal circular generalised NDs are discussed, in which v/2 unordered pairs do not appear as neighbours. Certain generators are also developed to obtain minimal circular generalised NDs in blocks of two different sizes, where k2 = 3, 4 and 5. All these designs are constructed using i sets of shifts for k1 and two for k2.
当治疗的反应(直接效果)受到相邻单元中应用的治疗的影响时,使用最小相邻设计(ND)。当无法构建最小NDs时,首选最小广义NDs。通过循环移位的方法(规则I),讨论了最小循环广义NDs存在的条件,其中v/2个无序对不作为邻居出现。还开发了某些生成器,以在两个不同大小的块中获得最小圆形广义NDs,其中k2=3、4和5。所有这些设计都是使用k1的i组移位和k2的2组移位来构造的。
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引用次数: 0
Bayesian estimation of fertility rates under imperfect age reporting 不完全年龄报告下生育率的贝叶斯估计
Q4 Mathematics Pub Date : 2023-03-15 DOI: 10.59170/stattrans-2023-019
Vivek Verma, D. C. Nath, S. Dwivedi
This article outlines the application of the Bayesian method of parameter estimation to situations where the probability of age misreporting is high, leading to transfers of an individual from one age group to another. An essential requirement for Bayesian estimation is prior distribution, derived for both perfect and imperfect age reporting. As an alternative to the Bayesian methodology, a classical estimator based on the maximum likelihood principle has also been discussed. Here, the age misreporting probability matrix has been constructed using a performance indicator, which incorporates the relative performance of estimators based on age when reported correctly instead of misreporting. The initial guess of performance indicators can either be empirically or theoretically derived. The method has been illustrated by using data on Empowered Action Group (EAG) states of India from National Family Health Survey-3 (2005–2006) to estimate the total marital fertility rates. The present study reveals through both a simulation and real-life set-up that the Bayesian estimation method has been more promising and reliable in estimating fertility rates, even in situations where age misreporting is higher than in case of classical maximum likelihood estimates.
本文概述了参数估计的贝叶斯方法在年龄误报概率较高的情况下的应用,导致个人从一个年龄组转移到另一个年龄段。贝叶斯估计的一个基本要求是先验分布,它适用于完美和不完美的年龄报告。作为贝叶斯方法的替代方案,还讨论了基于最大似然原理的经典估计器。这里,年龄误报概率矩阵是使用性能指标构建的,该指标包含了基于年龄的估计量在正确报告而不是误报时的相对性能。业绩指标的初步猜测既可以从经验上得出,也可以从理论上得出。该方法已通过使用第三次全国家庭健康调查(2005-2006)中印度授权行动小组各州的数据来估计总婚姻生育率来说明。本研究通过模拟和现实生活中的设置表明,贝叶斯估计方法在估计生育率方面更具前景和可靠性,即使在年龄误报高于经典最大似然估计的情况下也是如此。
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引用次数: 0
Modelling the volatility of African capital markets in the presence of the Covid-19 pandemic: evidence from five emerging economies in Africa 新冠肺炎疫情下非洲资本市场波动的建模:来自非洲五个新兴经济体的证据
Q4 Mathematics Pub Date : 2023-03-15 DOI: 10.59170/stattrans-2023-018
Nureni Olawale Adeboye, Sakinat Oluwabukonla Folorunso, O. Abimbola, Rasaki Yinka Akinbo
The growing concern over the global effects of the COVID-19 pandemic on every aspect of human endeavour has necessitated a continuous modelling of its impact on socio-economic phenomena, allowing the formulation of policies aimed at sustaining future economic growth and mitigating the looming recession. The study employed Exponential Generalised Autoregressive Conditional Heteroscedasticity (EGARCH) procedures to develop stock volatility models for the pre- and COVID-19 era. The Fixed-Effects Two Stage Least Square (TSLS) technique was utilised to establish an empirical relationship between capital market volatility and the COVID-19 occurrence based on equity market indices and COVID-19 reported cases of five emerging African economies: Nigeria, Egypt, South Africa, Gabon and Tanzania. The stock series was made stationary at the first order differencing and the model results indicated that the stock volatility of all the countries responded sharply to the outbreak of COVID-19 with the average stock returns of Nigeria and Gabon suffering the most shocks. The forecast values indicated a constant trend of volatility shocks for all the countries in the continuous presence of the COVID-19 pandemic. Additionally, the confirmed and death cases of COVID-19 were found to increase stock prices while recovered cases bring about a reduction in the stock prices in the studied periods.
人们越来越担心新冠肺炎疫情对人类努力各个方面的全球影响,因此有必要不断模拟其对社会经济现象的影响,以便制定旨在维持未来经济增长和缓解迫在眉睫的衰退的政策。该研究采用了指数广义自回归条件异方差(EGARCH)程序,开发了前新冠肺炎时代和后两个时期的股票波动率模型。基于股票市场指数和五个新兴非洲经济体(尼日利亚、埃及、南非、加蓬和坦桑尼亚)的新冠肺炎报告病例,利用固定效应两阶段最小二乘法(TSLS)技术建立资本市场波动与新冠肺炎发生之间的实证关系。股票序列在一阶差分时是平稳的,模型结果表明,所有国家的股票波动率对新冠肺炎疫情的爆发反应剧烈,尼日利亚和加蓬的平均股票回报率受到的冲击最大。预测值表明,在新冠肺炎疫情持续存在的情况下,所有国家的波动性冲击呈持续趋势。此外,新冠肺炎确诊和死亡病例被发现会提高股价,而康复病例会导致研究期间股价下跌。
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引用次数: 0
On representativeness, informative sampling, nonignorable nonresponse, semiparametric prediction and calibration 关于代表性、信息采样、不可忽略的无响应、半参数预测和校准
Q4 Mathematics Pub Date : 2023-03-15 DOI: 10.59170/stattrans-2023-022
A. Eideh
Informative sampling refers to a sampling design for which the sample selection probabilities depend on the values of the model outcome variable. In such cases the model holding for the sample data is different from the model holding for the population data. Similarly, nonignorable nonresponse refers to a nonresponse mechanism in which the response probability depends on the value of a missing outcome variable. For such a nonresponse mechanism the model holding for the response data is different from the model holding for the population data. In this paper, we study, within a modelling framework, the semi-parametric prediction of a finite population total by specifying the probability distribution of the response units under informative sampling and nonignorable nonresponse. This is the most general situation in surveys and other combinations of sampling informativeness and response mechanisms can be considered as special cases. Furthermore, based on the relationship between response distribution and population distribution, we introduce a new measure of the representativeness of a response set and a new test of nonignorable nonresponse and informative sampling, jointly. Finally, a calibration estimator is obtained when the sampling design is informative and the nonresponse mechanism is nonignorable.
信息抽样是指样本选择概率取决于模型结果变量值的抽样设计。在这种情况下,保持样本数据的模型不同于保持总体数据的模型。类似地,不可忽略的无反应是指一种无反应机制,其中反应概率取决于缺失结果变量的值。对于这种无响应机制,用于响应数据的模型与用于总体数据的模型不同。在本文中,我们在建模框架内,通过指定信息采样和不可忽略的无响应下响应单元的概率分布,研究了有限总体的半参数预测。这是调查中最普遍的情况,抽样信息和响应机制的其他组合可以被视为特殊情况。此外,基于反应分布和群体分布之间的关系,我们引入了一个反应集代表性的新度量,以及一个不可忽略的无反应和信息抽样的新检验。最后,当采样设计是有信息的并且无响应机制是不可忽略的时,得到了校准估计器。
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引用次数: 0
On some efficient classes of estimators using auxiliary attribute 利用辅助属性的几种有效估计量
Q4 Mathematics Pub Date : 2023-03-15 DOI: 10.59170/stattrans-2023-025
Shashi Bhushan, Anoop Kumar
This paper considers some efficient classes of estimators for the estimation of population mean using known population proportion. The usual mean estimator, classical ratio, and regression estimators suggested by Naik and Gupta (1996) and Abd-Elfattah et al. (2010) estimators are identified as the members of the suggested class of estimators. The expressions of bias and mean square errors are derived up to first-order approximation. The proposed estimators were put to test against various other competing estimators till date. It has been found both theoretically and empirically that the suggested classes of estimators dominate the existing estimators.
本文考虑了利用已知的总体比例估计总体均值的几种有效估计量。Naik和Gupta(1996)以及Abd-Elfattah等人(2010)提出的通常均值估计量、经典比率估计量和回归估计量被确定为建议的估计量类的成员。偏差和均方误差的表达式被导出到一阶近似。到目前为止,所提出的估计器已与其他各种竞争估计器进行了测试。从理论和经验两方面都发现,建议的估计量类别支配着现有的估计量。
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引用次数: 1
Determinants of livestock products export in Ethiopia 埃塞俄比亚畜产品出口的决定因素
Q4 Mathematics Pub Date : 2023-03-15 DOI: 10.59170/stattrans-2023-024
Ermyas Kefelegn
Ethiopia has one of the largest livestock populations in Africa. In 2016–2017, the share of live animals, leather, and meat in the total export of the country reached 9.6%. This paper aims to identify the determinants of the export of Ethiopian livestock products by means of vector autoregressive and vector error correction models. Multivariate time series is used to model the association between the products of the Ethiopian livestock export included in the study. Vector autoregressive and vector error correction models are used for modelling and inference. The results indicated the existence of a long term correlation between the volume of live animals, meat and leather exports. The volume of meat export is significantly affected by a lag occurring in the export of live animals in the short-run. Therefore, 3.7% of the shortrun imbalance in the volume of leather export is adjusted each quarter. It is suggested that the exporters of livestock products should properly utilise the Ethiopian livestock resources. On the other hand, the government should offer different forms of support to exporters, especially those focusing on exporting value-added products.
埃塞俄比亚是非洲牲畜数量最多的国家之一。2016-2017年,活体动物、皮革和肉类在该国出口总额中的份额达到9.6%。本文旨在通过向量自回归和向量纠错模型来确定埃塞俄比亚畜产品出口的决定因素。多元时间序列用于建模研究中埃塞俄比亚牲畜出口产品之间的关联。向量自回归和向量误差校正模型用于建模和推理。结果表明,活体动物、肉类和皮革出口量之间存在长期相关性。肉类出口量在短期内受到活动物出口滞后的严重影响。因此,每个季度调整3.7%的皮革出口量短期失衡。建议畜产品出口商适当利用埃塞俄比亚的牲畜资源。另一方面,政府应向出口商提供不同形式的支持,尤其是那些专注于出口增值产品的出口商。
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引用次数: 0
Under military war weapon support the economic bond level estimation using generalized Petersen graph with imputation 军事战争武器保障下基于广义Petersen图的经济保障水平估算
Q4 Mathematics Pub Date : 2023-02-24 DOI: 10.59170/stattrans-2023-016
Deepika Rajoriya, D. Shukla
Several countries of the world are involved in mutual and collaborative business of military equipments, weapons in terms of their production, sales, technical maintenance, training and services. As a consequence, manufacturing of boms, rockets, missiles and other ammunitions have taken structured and smooth shape to help others where and when needed. Often the military support among countries remain open for information to the media, but sometime remain secret due to the national security and international political pressure. Such phenomenon (hidden or open support ) is a part of military supply chain and could be modeled like a Petersen graph considering vertices as countries and edges as economic bonds. For a large graphical structure, without sampling, it is difficult to find out average economic bonding (open & secret) between any pair of countries involved in the military business or support. This paper presents a sample based estimation methodology for estimating the mean economic bond value among countries involved in the military support or business. Motivation to the problem is derived from current Russia-Ukraine war situation and a kind of hidden support to war by NATO countries. A node sampling procedure is proposed whose bias, mean-squared error and other properties are derived. Results are supported with empirical studies. Findings are compared with particular cases and confidence intervals are used as a basic tool of comparison. Pattern imputation is used together with a new proposal of CIImputation method who has been proved useful for filling the missing value, specially when secret economic support data from involved countries found missing. The current undergoing war between Ukraine and Russia and secret weapon, economic support from NATO countries is an application of the proposed methodology contained in this paper. Key words: Graph, Petersen Graph, Estimator, Bias, Mean Squared Error (MSE), Optimum Choice, Confidence intervals (CI), Nodes (vertices), Pattern Imputation, CI-Imputation (LLimputation and UL-imputation), Economic Bonds, Military War, Weapon Support
世界上有几个国家在军事装备、武器的生产、销售、技术维护、培训和服务方面从事相互合作的业务。因此,炸弹、火箭、导弹和其他弹药的制造已经形成了结构化和平滑的形状,可以在需要的地方和时间帮助他人。各国之间的军事支持通常对媒体开放,但由于国家安全和国际政治压力,有时仍然是秘密的。这种现象(隐藏或公开支持)是军事供应链的一部分,可以像彼得森图一样建模,将顶点视为国家,将边缘视为经济纽带。对于一个大型图形结构,如果没有抽样,很难找出参与军事业务或支持的任何一对国家之间的平均经济联系(公开和秘密)。本文提出了一种基于样本的估计方法,用于估计参与军事支持或商业的国家之间的平均经济债券价值。引发这一问题的动因是当前俄乌战争形势和北约国家对战争的一种隐性支持。提出了一种节点采样方法,推导了该方法的偏差、均方误差等性质。实证研究支持了研究结果。将调查结果与特定病例进行比较,并将置信区间用作比较的基本工具。模式插补与CIImputation方法的一项新提议一起使用,该方法已被证明可用于填补缺失值,特别是当发现相关国家的秘密经济支持数据缺失时。目前正在进行的乌克兰和俄罗斯之间的秘密武器战争,来自北约国家的经济支持是本文所提出方法的应用。关键词:图,Petersen图,估计器,偏差,均方误差(MSE),最优选择,置信区间(CI),节点(顶点),模式插补,CI插补(LL插补和UL插补),经济债券,军事战争,武器保障
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引用次数: 0
The Post-Conflict Reconstruction of the Statistical System in Ukraine. Key Issues from an International Perspective 乌克兰统计系统冲突后的重建。国际视野中的关键问题
Q4 Mathematics Pub Date : 2023-02-24 DOI: 10.59170/stattrans-2023-001
D. Rozkrut, W. Okrasa, O. Osaulenko, Misha V. Belkindas, R. Wasserstein
Statistics has accompanied the social forms of human civilization since its inception, reflecting also conflicts and wars. Statistics acts as a beacon, especially in turbulent times, capturing the most important aspects of reality, while helping decision-makers navigate key choices in the face of adversity of a radically changing situation. To this end, statisticians of a war-affected country make every effort by adapting the way statistics work to overcome methodological and organizational obstacles in everyday professional work, including innovative development of research instruments to substitute the destroyed or unavailable ones.
自人类文明诞生以来,统计一直伴随着各种社会形式,也反映了冲突和战争。统计数据是一座灯塔,尤其是在动荡时期,它捕捉到了现实中最重要的方面,同时帮助决策者在面临急剧变化的形势的逆境时做出关键选择。为此,受战争影响国家的统计学家尽一切努力调整统计工作方式,以克服日常专业工作中的方法和组织障碍,包括创新开发研究工具,以取代已销毁或无法获得的工具。
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引用次数: 0
Statistical modelling and forecasting of wheat and meslin export from Ukraine using the singular spectral analysis 利用奇异谱分析对乌克兰小麦和meslin出口的统计建模和预测
Q4 Mathematics Pub Date : 2023-02-24 DOI: 10.59170/stattrans-2023-010
Tetyana Chala, O. Korepanov, I. Lazebnyk, D. Chernenko, G. Korepanov
The article addresses the problems related to the functioning of the worldwide market of wheat and meslin. The authors identify the countries that over the past 17 years have been among the top 10 world leaders in terms of the value of export and import of wheat and meslin. The structure of wheat export by Ukrainian regions is analysed in comparison with the total export. The localisation coefficient is applied to measure the regional unevenness of the distribution of wheat export volumes and the total export by regions of the country. The modelling and forecasting of the volumes and prices of export of wheat and meslin from Ukraine are based on Singular Spectrum Analysis. The study particularly focuses on the individual components of time series, such as trend, annual, semi-annual, four-month, three-month seasonal components. The reliability of the forecast is confirmed by the calculation of the MAPE forecast error and Henry Theil’s inequality coefficient. The article proposes an algorithm for calculating the relative indicators of the structure for the individual components of the reconstructed time series, identified through the singular spectral analysis.
本文论述了世界小麦和meslin市场运作的相关问题。作者确定了在过去17年中,就小麦和meslin的进出口价值而言,跻身世界前十的国家。将乌克兰各地区的小麦出口结构与出口总额进行比较分析。本地化系数用于衡量小麦出口量分布的区域不均衡性和全国各地区的出口总额。乌克兰小麦和meslin出口量和价格的建模和预测基于奇异谱分析。该研究特别关注时间序列的各个组成部分,如趋势、年度、半年、四个月、三个月的季节性组成部分。通过MAPE预测误差和Henry Theil不等式系数的计算,验证了预测的可靠性。本文提出了一种算法,用于计算通过奇异谱分析识别的重构时间序列的各个分量的结构的相对指标。
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引用次数: 1
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Statistics in Transition
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