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An Improved Product Estimator for Finite Population Mean in the Presence of Nonignorable Nonresponse 存在不可忽略的非响应情况下有限人口平均值的改进乘积估计器
Pub Date : 2024-05-07 DOI: 10.9734/ajpas/2024/v26i4613
Abdul Basit Abdul Rahaman, J. Dioggban, A. Jackson
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引用次数: 0
Arima Model to Predict the Prevalence of Diabetes Type 1 and Type 2 Patients: A Case Study of Jos University Teaching Hospital 预测 1 型和 2 型糖尿病患者患病率的 Arima 模型:乔斯大学教学医院案例研究
Pub Date : 2024-05-02 DOI: 10.9734/ajpas/2024/v26i4612
Termen Nanfwang Yunana, K. E. Lasisi, A. M. Kwami, Douglas Jah Pam, Sheyi Mafolasire, Chibuike John Echebiri, Friday Ezekiel Danung, S. Gambo
Diabetes Mellitus is a huge burden for human health, increasing number of patient is likely to result in rising demand for the medical emergencies. Due to limited number of hospitals with standard laboratory test kits to differentiate between type 1 and type 2 diabetes it is important to forecast the future incidences and prepare with proper resource planning. The monthly number of Diabetes patients obtained from Jos University Teaching Hospital is fitted by autoregressive integrated moving average (ARIMA) model. Dataset starting from January, 2010 to December,2020. Using ARIMA, several models were evaluated based on the Bayesian Information Criterion (BIC) and Ljung-Box Q statistics. ARIMA(3, 1, 1) is found to be better and used to describe and predict the future trends of Diabetes  type 1 and ARIMA(1,1,1) is a better model to predict the future prevalence of diabetes type 2. Therefore, the proposed model will help in the appropriate planning and allocation of resources for emergencies.
糖尿病是人类健康的巨大负担,患者人数的增加可能导致医疗急救需求的上升。由于具备区分 1 型和 2 型糖尿病标准实验室检测试剂盒的医院数量有限,因此必须预测未来的发病率,并做好适当的资源规划。乔斯大学教学医院每月的糖尿病患者人数采用自回归综合移动平均(ARIMA)模型进行拟合。数据集从 2010 年 1 月至 2020 年 12 月。使用自回归整合移动平均模型,根据贝叶斯信息标准(BIC)和 Ljung-Box Q 统计量对几个模型进行了评估。结果发现,ARIMA(3, 1, 1) 更适合用于描述和预测 1 型糖尿病的未来趋势,而 ARIMA(1,1,1) 则是预测 2 型糖尿病未来患病率的较好模型。因此,建议的模型将有助于适当规划和分配应急资源。
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引用次数: 0
Spatial Regression Modeling of Child Survival on the Distribution of Births and Deaths in Kenya Based on the Kenya Demographic and Health Survey (KDHS) 2022 基于 2022 年肯尼亚人口与健康调查 (KDHS) 的肯尼亚儿童生存与出生和死亡分布的空间回归模型
Pub Date : 2024-03-16 DOI: 10.9734/ajpas/2024/v26i3600
A. Langat, Michael Arthur Ofori, John Kamwele Mutinda, Mouhamadou Djima Baranon, A. Amegah, L. Kazembe
This study used spatial mapping techniques to examine the distribution of births and deaths in Kenya and their relationship with various factors related to child survival, such as maternal age, education, wealth, and access to health services. Data were obtained from the 2022 Kenya Demographic and Health Survey (KDHS). Spatial autocorrelation analyses were conducted to identify clusters of high or low child mortality rates. The results showed significant spatial autocorrelation in child mortality rates, indicating that neighboring areas had similar mortality rates. Factors such as maternal education, wealth, and access to health services were found to be significantly associated with child mortality rates. These findings can inform targeted interventions and policies to reduce child mortality rates in Kenya, particularly in areas with the highest risk of mortality.
本研究采用空间制图技术研究肯尼亚的出生和死亡分布情况,以及它们与各种儿童生存相关因素(如产妇年龄、教育程度、财富和获得医疗服务的机会)之间的关系。数据来自 2022 年肯尼亚人口与健康调查(KDHS)。我们进行了空间自相关分析,以确定儿童死亡率高或低的集群。结果显示,儿童死亡率存在明显的空间自相关性,表明相邻地区的死亡率相似。研究发现,孕产妇教育、财富和获得医疗服务的机会等因素与儿童死亡率密切相关。这些研究结果可以为采取有针对性的干预措施和政策降低肯尼亚的儿童死亡率提供参考,尤其是在死亡风险最高的地区。
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引用次数: 0
Mathematical Modeling of Intra-Communal Violence and Risk-Level Analysis. Case Study: Obiaruku Community in Delta State, Nigeria 社区内暴力的数学建模和风险等级分析。案例研究:尼日利亚三角洲州 Obiaruku 社区
Pub Date : 2024-03-15 DOI: 10.9734/ajpas/2024/v26i3599
Ossaiugbo Ifeanyi Marcus, Okposo Newton Ighomaro, Apanapudor Joshua Sarduana
This paper aims to capture the dynamics of intra-communal violence in a deterministic model of ordinary differential equations, accordingly, the Authors found some interesting results. Lack of quality education, insecurity, bad roads, drugs and alcoholism, unequal representation in government and religious decay have been identified as key factors supporting intra-communal violence over the years. In this research work we built all these factors into a deterministic model describing intra-communal violence and performed some basic mathematical analysis such as positivity of solutions, existence of invariant region, violence-free equilibrium, violence-persistent equilibrium, basic reproduction number, sensitivity analysis, stability analysis and bifurcation analysis. It was revealed that the violence-free equilibrium is globally asymptotically stable. The model exhibits a forward bifurcation. The sensitivity analysis revealed that injustice and insecurity are highly sensitive parameters of the basic reproduction number. We also designed a questionnaire to ascertain the violence risk level of Obiaruku community in Delta State, Nigeria and the analysis revealed that the community is at the medium high risk level and thus violence may occur in most cases in the community. The results of the stability analysis and the sensitivity analysis showed that under certain conditions, a community can be brought to the maximum low risk level and the maximum high peace level.
本文旨在通过一个确定性的常微分方程模型来捕捉族群内部暴力的动态变化,因此,作者发现了一些有趣的结果。多年来,缺乏优质教育、不安全、道路状况差、毒品和酗酒、政府中代表权不平等以及宗教衰败已被确定为支持族群内部暴力的关键因素。在这项研究工作中,我们将所有这些因素建立在一个描述族群内部暴力的确定性模型中,并进行了一些基本的数学分析,如解的正向性、不变区域的存在、无暴力均衡、暴力持续均衡、基本再现数、敏感性分析、稳定性分析和分岔分析。结果表明,无暴力均衡是全局渐近稳定的。模型出现了正向分岔。敏感性分析表明,不公正和不安全是基本繁殖数的高度敏感参数。我们还设计了一份调查问卷,以确定尼日利亚三角洲州 Obiaruku 社区的暴力风险水平,分析结果表明,该社区处于中等高风险水平,因此在该社区的大多数情况下都可能发生暴力事件。稳定性分析和敏感性分析的结果表明,在某些条件下,一个社区可以达到最高低风险水平和最高高和平水平。
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引用次数: 0
A Study of the Impacts of Measurement errors on Robust Parameter Design for Multi-response 测量误差对多响应稳健参数设计的影响研究
Pub Date : 2024-02-12 DOI: 10.9734/ajpas/2024/v26i2591
A. Danbaba, N. S. Dauran, A. Mustafa, M. Ibrahim
Robust parameter design is a principle in quality improvement methodologies that is directed towards reducing the effects of errors which are either poised by the noise factors or the control factors. Response surface methodology is an effective approach to robust parameter design. Previous studies discussed Robust parameter design based on the response surface model by considering measurement errors in control variables for a single response variable. However, in process design, determining optimal levels of control variables is an important issue in some problems with different outputs. This study therefore investigates the impacts of measurement errors in the levels of control variables on processes with multiple quality characteristics (responses). Different variances of error were tested on the levels of control variables and the analysis of response surface modeling and optimization was performed. The result showed that as measurement errors in the levels of control variables increase, the coefficient of determinations for the multi-response and the expected quality loss deviates from what is obtainable in the initial state. It can be concluded based on the result however, that measurement errors in the levels of control variables exert impacts on robust parameter design for multi-response.
稳健参数设计是质量改进方法中的一项原则,旨在减少由噪声因素或控制因素引起的误差影响。响应面方法是稳健参数设计的有效方法。之前的研究讨论了基于响应面模型的稳健参数设计,即考虑控制变量对单一响应变量的测量误差。然而,在工艺设计中,确定控制变量的最佳水平是一些具有不同输出的问题的重要问题。因此,本研究探讨了控制变量水平的测量误差对具有多种质量特性(响应)的过程的影响。对控制变量水平的不同误差方差进行了测试,并进行了响应面建模和优化分析。结果表明,随着控制变量水平测量误差的增大,多响应的确定系数和预期质量损失会偏离初始状态。不过,根据这一结果可以得出结论,控制变量水平的测量误差会对多响应的稳健参数设计产生影响。
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引用次数: 0
Foreign Direct Investment and Economic Growth in Nigeria: A Revisit 尼日利亚的外国直接投资与经济增长:重新审视
Pub Date : 2024-02-12 DOI: 10.9734/ajpas/2024/v26i2590
Ariayefa Francis Eniekezimene, Ebimowei Wodu, Joseph Peres Anda-Owei
This study examined the impact of foreign direct investment (FDI) on economic growth in Nigeria from 1981 to 2022. Real gross domestic product growth rate (RGDPGR) was the proxy for economic growth while foreign direct investment (FDI), gross fixed capital formation (GFCF), per capita income (PCI) and exchange rate (EXR) were the explanatory variables. The study employed the autoregressive distributed lag (ARDL) technique to estimate the model, while the eclectic paradigm and endogenous growth theory served as the theoretical framework for the study. The results revealed that in the long run, foreign direct investment, per capita income and exchange rate were positive but statistically insignificant to economic growth in Nigeria, while gross fixed capital formation was insignificant. However, in the short, GFCF had significant negative impact on economic growth in the second lagged year showing that a unit increase in GFCF decreased RGDPGR by approximately 10.21% while per capita income impacted positively on the growth of the Nigerian economy. Consequently, the study recommended that as a signal of market size for the inflow of FDI and particularly as a signal of human capital development, the government should increase her investment in human capital development focusing on technical skills relevant in manufacturing and service sectors to engender growth in per capita income to attract FDI and economic growth in Nigeria.
本研究探讨了 1981 年至 2022 年外国直接投资(FDI)对尼日利亚经济增长的影响。实际国内生产总值增长率(RGDPGR)是经济增长的替代变量,而外国直接投资(FDI)、固定资本形成总额(GFCF)、人均收入(PCI)和汇率(EXR)则是解释变量。研究采用了自回归分布滞后(ARDL)技术来估计模型,折衷主义范式和内生增长理论则是研究的理论框架。研究结果表明,从长期来看,外国直接投资、人均收入和汇率对尼日利亚的经济增长呈正向影响,但在统计上并不显著,而固定资本形成总额则不显著。然而,从短期来看,固定资本形成总额在滞后第二年对经济增长有显著的负面影响,表明固定资本形成总额每增加一个单位,国内生产总值就会减少约 10.21%,而人均收入则对尼日利亚经济增长产生积极影响。因此,研究建议,作为外国直接投资流入的市场规模信号,特别是作为人力资本发展的信号,政府应增加对人力资本发展的投资,重点是制造业和服务业的相关技术技能,以促进人均收入的增长,从而吸引外国直接投资,促进尼日利亚的经济增长。
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引用次数: 0
A Study of the Impacts of Measurement errors on Robust Parameter Design for Multi-response 测量误差对多响应稳健参数设计的影响研究
Pub Date : 2024-02-12 DOI: 10.9734/ajpas/2024/v26i2591
A. Danbaba, N. S. Dauran, A. Mustafa, M. Ibrahim
Robust parameter design is a principle in quality improvement methodologies that is directed towards reducing the effects of errors which are either poised by the noise factors or the control factors. Response surface methodology is an effective approach to robust parameter design. Previous studies discussed Robust parameter design based on the response surface model by considering measurement errors in control variables for a single response variable. However, in process design, determining optimal levels of control variables is an important issue in some problems with different outputs. This study therefore investigates the impacts of measurement errors in the levels of control variables on processes with multiple quality characteristics (responses). Different variances of error were tested on the levels of control variables and the analysis of response surface modeling and optimization was performed. The result showed that as measurement errors in the levels of control variables increase, the coefficient of determinations for the multi-response and the expected quality loss deviates from what is obtainable in the initial state. It can be concluded based on the result however, that measurement errors in the levels of control variables exert impacts on robust parameter design for multi-response.
稳健参数设计是质量改进方法中的一项原则,旨在减少由噪声因素或控制因素引起的误差影响。响应面方法是稳健参数设计的有效方法。之前的研究讨论了基于响应面模型的稳健参数设计,即考虑控制变量对单一响应变量的测量误差。然而,在工艺设计中,确定控制变量的最佳水平是一些具有不同输出的问题的重要问题。因此,本研究探讨了控制变量水平的测量误差对具有多种质量特性(响应)的过程的影响。对控制变量水平的不同误差方差进行了测试,并进行了响应面建模和优化分析。结果表明,随着控制变量水平测量误差的增大,多响应的确定系数和预期质量损失会偏离初始状态。不过,根据这一结果可以得出结论,控制变量水平的测量误差会对多响应的稳健参数设计产生影响。
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引用次数: 0
Foreign Direct Investment and Economic Growth in Nigeria: A Revisit 尼日利亚的外国直接投资与经济增长:重新审视
Pub Date : 2024-02-12 DOI: 10.9734/ajpas/2024/v26i2590
Ariayefa Francis Eniekezimene, Ebimowei Wodu, Joseph Peres Anda-Owei
This study examined the impact of foreign direct investment (FDI) on economic growth in Nigeria from 1981 to 2022. Real gross domestic product growth rate (RGDPGR) was the proxy for economic growth while foreign direct investment (FDI), gross fixed capital formation (GFCF), per capita income (PCI) and exchange rate (EXR) were the explanatory variables. The study employed the autoregressive distributed lag (ARDL) technique to estimate the model, while the eclectic paradigm and endogenous growth theory served as the theoretical framework for the study. The results revealed that in the long run, foreign direct investment, per capita income and exchange rate were positive but statistically insignificant to economic growth in Nigeria, while gross fixed capital formation was insignificant. However, in the short, GFCF had significant negative impact on economic growth in the second lagged year showing that a unit increase in GFCF decreased RGDPGR by approximately 10.21% while per capita income impacted positively on the growth of the Nigerian economy. Consequently, the study recommended that as a signal of market size for the inflow of FDI and particularly as a signal of human capital development, the government should increase her investment in human capital development focusing on technical skills relevant in manufacturing and service sectors to engender growth in per capita income to attract FDI and economic growth in Nigeria.
本研究探讨了 1981 年至 2022 年外国直接投资(FDI)对尼日利亚经济增长的影响。实际国内生产总值增长率(RGDPGR)是经济增长的替代变量,而外国直接投资(FDI)、固定资本形成总额(GFCF)、人均收入(PCI)和汇率(EXR)则是解释变量。研究采用了自回归分布滞后(ARDL)技术来估计模型,折衷主义范式和内生增长理论则是研究的理论框架。研究结果表明,从长期来看,外国直接投资、人均收入和汇率对尼日利亚的经济增长呈正向影响,但在统计上并不显著,而固定资本形成总额则不显著。然而,从短期来看,固定资本形成总额在滞后第二年对经济增长有显著的负面影响,表明固定资本形成总额每增加一个单位,国内生产总值就会减少约 10.21%,而人均收入则对尼日利亚经济增长产生积极影响。因此,研究建议,作为外国直接投资流入的市场规模信号,特别是作为人力资本发展的信号,政府应增加对人力资本发展的投资,重点是制造业和服务业的相关技术技能,以促进人均收入的增长,从而吸引外国直接投资,促进尼日利亚的经济增长。
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引用次数: 0
The Impact of Macroeconomic Factors on Nigerian-Naira Exchange Rate Fluctuations (1981-2021) 宏观经济因素对尼日利亚奈拉汇率波动的影响(1981-2021 年)
Pub Date : 2024-02-10 DOI: 10.9734/ajpas/2024/v26i2589
E. U. Ohaegbulem, Victor Chijindu Iheaka
This study majorly considered establishing the relationship that existed among the Nigerian-Naira (NGN) Exchange Rate and External Reserve, Inflation Rate, GDP Growth, Public Debt, Unemployment Rate and Exports for the period, (1981-2021). Also, the macroeconomic variables that influenced the NGN exchange rate fluctuations were determined. Multiple linear regression and correlation analyses were employed in this study. Results showed that the significant variables that influenced the NGN exchange rate fluctuations were External Reserve, Public Debt and Unemployment Rate; and each of them had very strong significant positive relationships with NGN exchange rate fluctuations. It was equally revealed that about 97% of the total variations in the NGN exchange rate fluctuations, from 1981 to 2021, were accounted for by variations in External Reserve, Public Debt and Unemployment Rate; while about 3% of the total variations in the NGN exchange rate could be attributed to other macroeconomic factors outside the ones used in this study. It was concluded that External Reserve, Public Debt and Unemployment Rate were the most macroeconomic factors that influenced the Nigerian-Naira exchange rate fluctuations from 1981 to 2021.
本研究主要考虑确定尼日利亚奈拉(NGN)汇率与外部储备、通货膨胀率、国内生产总值增长率、公共债务、失业率和出口之间存在的关系(1981-2021 年)。此外,还确定了影响 NGN 汇率波动的宏观经济变量。本研究采用了多元线性回归和相关分析。结果表明,影响 NGN 汇率波动的重要变量是外部储备、公共债务和失业率;其中每个变量都与 NGN 汇率波动有非常显著的正相关关系。研究还显示,1981 年至 2021 年期间,在 NGN 汇率变动的总变化中,约 97% 是由外部储备、公共债务和失业率的变化造成的;而在 NGN 汇率变动的总变化中,约 3% 可归因于本研究中使用的因素之外的其他宏观经济因素。研究得出结论,外部储备、公共债务和失业率是影响 1981 至 2021 年尼日利亚奈拉汇率波动最大的宏观经济因素。
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引用次数: 0
The Impact of Macroeconomic Factors on Nigerian-Naira Exchange Rate Fluctuations (1981-2021) 宏观经济因素对尼日利亚奈拉汇率波动的影响(1981-2021 年)
Pub Date : 2024-02-10 DOI: 10.9734/ajpas/2024/v26i2589
E. U. Ohaegbulem, Victor Chijindu Iheaka
This study majorly considered establishing the relationship that existed among the Nigerian-Naira (NGN) Exchange Rate and External Reserve, Inflation Rate, GDP Growth, Public Debt, Unemployment Rate and Exports for the period, (1981-2021). Also, the macroeconomic variables that influenced the NGN exchange rate fluctuations were determined. Multiple linear regression and correlation analyses were employed in this study. Results showed that the significant variables that influenced the NGN exchange rate fluctuations were External Reserve, Public Debt and Unemployment Rate; and each of them had very strong significant positive relationships with NGN exchange rate fluctuations. It was equally revealed that about 97% of the total variations in the NGN exchange rate fluctuations, from 1981 to 2021, were accounted for by variations in External Reserve, Public Debt and Unemployment Rate; while about 3% of the total variations in the NGN exchange rate could be attributed to other macroeconomic factors outside the ones used in this study. It was concluded that External Reserve, Public Debt and Unemployment Rate were the most macroeconomic factors that influenced the Nigerian-Naira exchange rate fluctuations from 1981 to 2021.
本研究主要考虑确定尼日利亚奈拉(NGN)汇率与外部储备、通货膨胀率、国内生产总值增长率、公共债务、失业率和出口之间存在的关系(1981-2021 年)。此外,还确定了影响 NGN 汇率波动的宏观经济变量。本研究采用了多元线性回归和相关分析。结果表明,影响 NGN 汇率波动的重要变量是外部储备、公共债务和失业率;其中每个变量都与 NGN 汇率波动有非常显著的正相关关系。研究还显示,1981 年至 2021 年期间,在 NGN 汇率变动的总变化中,约 97% 是由外部储备、公共债务和失业率的变化造成的;而在 NGN 汇率变动的总变化中,约 3% 可归因于本研究中使用的因素之外的其他宏观经济因素。研究得出结论,外部储备、公共债务和失业率是影响 1981 至 2021 年尼日利亚奈拉汇率波动最大的宏观经济因素。
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引用次数: 0
期刊
Asian Journal of Probability and Statistics
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