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基于Bayes时空模型分析HIV/AIDS晚发现的时空分布特征及其影响因素
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作者 邵莉 陈继军 +3 位作者 张宇琦 许静 栗果 高文龙 《中山大学学报(医学科学版)》 CAS CSCD 北大核心 2024年第2期243-252,共10页
【目的】旨在分析兰州市HIV/AIDS晚发现的时空聚集性特征及相关影响因素,明确兰州市HIV/AIDS晚发现高风险地区和时间趋势,为兰州市因地制宜地制定HIV/AIDS防治策略措施提供参考依据。【方法】选择兰州市2011-2018年间新报告的成年HIV/A... 【目的】旨在分析兰州市HIV/AIDS晚发现的时空聚集性特征及相关影响因素,明确兰州市HIV/AIDS晚发现高风险地区和时间趋势,为兰州市因地制宜地制定HIV/AIDS防治策略措施提供参考依据。【方法】选择兰州市2011-2018年间新报告的成年HIV/AIDS病例作为研究对象,研究中所需的数据资料来自兰州市疾病预防控制中心和兰州市统计年鉴。采用Bayes时空模型分析HIV/AIDS晚发现相对风险(RR)的时空分布特征及其影响因素。【结果】2011-2018年间兰州市新报告的HIV/AIDS病例共计1984例,其中HIV/AIDS晚发现者有982例(49.5%),平均年龄为39.67岁,男性占90.9%。老年人和女性HIV/AIDS病例中晚发现的比例更高;城关区(51.1%)、安宁区(50.3%)和榆中县(51.9%)具有高于平均水平的HIV/AIDS晚发现比例;2011-2018年间兰州市总体的晚发现比例呈波动上升趋势。Bayes时空模型分析结果显示,兰州市HIV/AIDS晚发现风险在2011-2015年间波动变化,而在2015年后迅速上升,其RR(95%CI)从1.01(0.84,1.23)上升到1.11(0.77,1.97);红古区和三个县的晚发现风险变化趋势与兰州市的总体变化趋势相似,而城关区和七里河区的晚发现风险呈下降趋势;晚发现相对风险大于1的区县包括:永登县(RR=1.07,95%CI:0.55,1.96)、西固区(RR=1.04,95%CI:0.67,1.49)、城关区(RR=2.41,95%CI:0.85,6.16)和七里河区(RR=2.03,95%CI:1.10,3.27)。冷热点分析结果显示城关区和七里河区为热点区。影响因素分析结果显示,随着人均GDP(RR=0.65,95%CI:0.35,0.90)和HIV/AIDS病例中的男性比例(RR=0.53,95%CI:0.19,0.92)的增高,HIV/AIDS晚发现的相对风险越低;而人口密度(RR=1.35,95%CI:1.01,1.81)越大,晚发现风险越高。【结论】兰州市的HIV/AIDS晚发现风险呈上升趋势,并且存在明显的地区差异特征;人均GDP、HIV/AIDS中男性比例和人口密度是HIV/AIDS晚发现的影响因素。因此,对于晚发现风险高和存在相关风险因素的区县,应重视并制定有针对性的HIV筛查和防治服务,降低HIV/AIDS晚发现比例和风险。 展开更多
关键词 艾滋病 人类免疫缺陷病毒 晚发现 bayes时空模型 分布特征
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黄土抗剪强度参数均值与方差的Bayes估计及其应用
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作者 李萍 董鸾花 +3 位作者 赵枝艳 李金明 沈伟 李同录 《建筑科学与工程学报》 CAS 北大核心 2024年第2期163-172,共10页
为解决黄土强度参数估计问题,从工程勘察项目中共收集统计了3384组Q1、Q2、Q3黄土强度参数黏聚力c、内摩擦角φ值的测试数据,不考虑二者的相关性,将参数均值和方差都作为随机变量,建立起黄土强度参数c、φ的正态-逆伽马先验分布。基于Ba... 为解决黄土强度参数估计问题,从工程勘察项目中共收集统计了3384组Q1、Q2、Q3黄土强度参数黏聚力c、内摩擦角φ值的测试数据,不考虑二者的相关性,将参数均值和方差都作为随机变量,建立起黄土强度参数c、φ的正态-逆伽马先验分布。基于Bayes理论,利用共轭先验法推导了参数后验分布和后验概率密度函数的期望值求解公式,确定了估计的误差。以陕西泾阳黄土边坡为例,利用所建立的先验分布和边坡土层测试强度指标,求取参数的后验分布,进一步估计了边坡失效概率的概率分布和稳定系数均值的概率分布。结果表明:在95%的置信度下,按稳定系数评价,边坡均处于基本稳定状态,且稳定系数置信区间小;按失效概率评价,边坡接近稳定状态,但失效概率的置信区间较大,黄土强度参数的方差控制着边坡失效概率的置信区间,将方差作为随机变量,考虑方差变异性,能更科学地评估黄土工程的可靠度。 展开更多
关键词 黄土 边坡 bayes理论 先验分布 正态-逆伽马分布
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基于Bayes推断的交流接触器剩余电寿命预测
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作者 李奎 马典良 +2 位作者 赵成晨 胡博凯 王浩然 《仪器仪表学报》 EI CAS CSCD 北大核心 2024年第1期34-45,共12页
针对交流接触器可靠性开展研究,首先分析交流接触器的电弧侵蚀机理,建立了计及电弧电压及电弧重燃影响的电弧侵蚀模型,根据该模型仿真得到的交流接触器性能退化特征参量变化过程与交流接触器的实际退化规律一致。分析不同工况下性能退... 针对交流接触器可靠性开展研究,首先分析交流接触器的电弧侵蚀机理,建立了计及电弧电压及电弧重燃影响的电弧侵蚀模型,根据该模型仿真得到的交流接触器性能退化特征参量变化过程与交流接触器的实际退化规律一致。分析不同工况下性能退化数据特征,提出了不同工况下先验信息的等效折算方法,解决了不同工况下的先验信息利用问题。建立了基于Bayes推断的交流接触器剩余电寿命预测模型,提高了剩余电寿命预测精度,实现了利用不同工况下性能退化数据对交流接触器进行剩余电寿命预测。在AC-4、AC-3两种工况下进行了交流接触器电寿命仿真分析及实验分析,相对误差均小于5.5%,验证了方法的准确性。 展开更多
关键词 交流接触器 电弧电压 电弧重燃 bayES推断 剩余电寿命
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核主泵机械密封可靠性Bayes分析的适应性
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作者 高灯 孙见君 张玉言 《润滑与密封》 CAS CSCD 北大核心 2024年第2期155-161,共7页
机械密封的可靠性对核主泵的安全稳定运行具有重要影响。为解决无失效数据情形下核主泵机械密封的可靠度评估问题,分析大亚湾核主泵机械密封的运行数据,确定其可靠度分布,建立结合Bayes理论的可靠性分析模型,利用Monte Carlo法从确定的... 机械密封的可靠性对核主泵的安全稳定运行具有重要影响。为解决无失效数据情形下核主泵机械密封的可靠度评估问题,分析大亚湾核主泵机械密封的运行数据,确定其可靠度分布,建立结合Bayes理论的可靠性分析模型,利用Monte Carlo法从确定的可靠度分布中仿真出无失效数据,探讨无失效数据场合下,先验分布为Beta分布时,分组数c的取值对E-Bayes估计与多层Bayes估计精度的影响。研究表明:分组数c<8时,优先选择多层Bayes估计;c>8,优先选择E-Bayes估计,c=8时,2种方法的平均相对误差均达到较低水平且多层Bayes估计更低一些。研究成果对无失效数据场合下基于Bayes理论的核主泵机械密封可靠性分析具有指导意义。 展开更多
关键词 无失效数据 bayes理论 核主泵 机械密封 可靠性
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偏态分布截断参数的经验Bayes检验
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作者 刘蕊 谭燕 吴刘仓 《高校应用数学学报(A辑)》 北大核心 2024年第1期13-27,共15页
偏态分布是对称分布的一种推广,在实际生活中应用广泛,其中截断参数对界定偏态分布的边界具有重要意义.文中基于经验Bayes检验方法,研究了偏态分布截断参数的假设检验问题.考虑普通Bayes检验中先验密度的未知性和不确定性,利用递归核估... 偏态分布是对称分布的一种推广,在实际生活中应用广泛,其中截断参数对界定偏态分布的边界具有重要意义.文中基于经验Bayes检验方法,研究了偏态分布截断参数的假设检验问题.考虑普通Bayes检验中先验密度的未知性和不确定性,利用递归核估计的密度函数代替未知的先验密度函数.定义检验的加权线性损失函数,从而更好地刻画了决策风险.在给定条件下证明了所提出检验函数的渐近最优性,同时给出确定的收敛速度.最后通过实例验证了文中的理论结果. 展开更多
关键词 经验bayES检验 偏态分布 递归核估计 渐近最优性 收敛速度
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无失效威布尔情形下基于双修正多层Bayes的可靠性评估
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作者 龙足腾 郑波 +1 位作者 甯洋 罗金超 《工程设计学报》 CSCD 北大核心 2024年第1期59-66,共8页
利用配分布曲线法构建无失效数据的可靠性评估模型时,往往采用E-Bayes或多层Bayes来估计失效概率,但因其估计能力有限,整体可靠度点估计精度不高。针对威布尔分布数据提出了一种新的双修正多层Bayes方法,用于改善失效概率估计,并完成可... 利用配分布曲线法构建无失效数据的可靠性评估模型时,往往采用E-Bayes或多层Bayes来估计失效概率,但因其估计能力有限,整体可靠度点估计精度不高。针对威布尔分布数据提出了一种新的双修正多层Bayes方法,用于改善失效概率估计,并完成可靠度点估计。在多层Bayes的基础上,通过修正失效概率上下限值来减小失效概率估计误差,然后结合加权最小二乘法和威布尔分布可靠度函数确定参数估计值和可靠度曲线,从而得到可靠度点估计。利用Monte-Carlo仿真试验,发现新方法能将参数估计相对误差控制在10%以下,并且得到的可靠度值更加趋近真值。通过实例分析发现,在超参数c取不同值的情况下,采用新方法得到的可靠度都更加接近工程实际。新方法适用性分析表明,形状参数β是影响估计精度的关键因素,且在β>2.2时新方法具有明显的优势及良好的稳健性。研究结果可为其他寿命分布无失效数据的可靠性评估提供参考。 展开更多
关键词 无失效威布尔 失效概率估计 双修正多层bayes 可靠度估计 适用性分析
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不同环境下含零失效数据的系统可靠性Bayes评估方法
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作者 唐庆 付尧 +2 位作者 郝威巍 孔祥睿 孙永全 《黑龙江大学自然科学学报》 CAS 2024年第1期28-37,共10页
针对船舶装备电子系统在研制阶段经历多种试验,且试验环境应力存在明显差异性及试验过程存在零失效的情况,基于电子系统失效率,提出了零失效情况下环境因子置信区间确定方法,并提出零失效情况下各阶段试验时间及故障数据的折合方式。构... 针对船舶装备电子系统在研制阶段经历多种试验,且试验环境应力存在明显差异性及试验过程存在零失效的情况,基于电子系统失效率,提出了零失效情况下环境因子置信区间确定方法,并提出零失效情况下各阶段试验时间及故障数据的折合方式。构建了电子系统失效率的先验分布模型,利用Bayes方法融合试验信息给出失效率的点估计及置信限,方便后续的可靠性评估。并以某船舶电子系统为例,验证了可靠性评估方法的有效性,为船舶典型装备电子系统可靠性评估提供了参考。 展开更多
关键词 电子系统 零失效 环境因子 bayES可靠性评估
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逐步增加Ⅱ型截尾下Pareto分布形状参数的Bayes估计
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作者 赵孟茹 周菊玲 《新疆师范大学学报(自然科学版)》 2024年第2期1-9,25,共10页
基于逐步增加Ⅱ型截尾样本,首先得出Pareto分布形状参数的极大似然估计,考虑两个损失函数和形状参数的两个先验分布,得出该分布形状参数的4个Bayes估计。由数值模拟结果发现,上述四个Bayes估计值的均方误差均小于极大似然估计值,其中,... 基于逐步增加Ⅱ型截尾样本,首先得出Pareto分布形状参数的极大似然估计,考虑两个损失函数和形状参数的两个先验分布,得出该分布形状参数的4个Bayes估计。由数值模拟结果发现,上述四个Bayes估计值的均方误差均小于极大似然估计值,其中,当损失函数为二次损失函数,形状参数的先验分布为共轭先验分布时的Bayes估计的均方误差较小,估计效果更理想,且实例分析与数值模拟结果相符。其次在二次损失函数下,针对形状参数先验分布选取共轭先验分布,给出Pareto分布形状参数的多层Bayes估计和E-Bayes估计。 展开更多
关键词 逐步增加Ⅱ型截尾 PARETO分布 二次损失 Q对称熵损失 bayES估计
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Mlinex损失函数下反向帕累托分布形状参数的Bayes估计
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作者 何贵阳 周菊玲 《新疆师范大学学报(自然科学版)》 2024年第1期1-12,共12页
文章研究了Mlinex损失函数下反向帕累托分布的参数估计问题。在已知反向帕累托分布位置参数的情况下,给出形状参数的五种估计方法:极大似然估计、最大后验估计、经典Bayes估计、多层Bayes估计、E-Bayes估计,并推导出相应估计方法下的具... 文章研究了Mlinex损失函数下反向帕累托分布的参数估计问题。在已知反向帕累托分布位置参数的情况下,给出形状参数的五种估计方法:极大似然估计、最大后验估计、经典Bayes估计、多层Bayes估计、E-Bayes估计,并推导出相应估计方法下的具体表达式。利用MC方法在R软件下进行数值模拟,对比模拟数据确定了参数估计的最优环境,并验证了估计方法的合理性和估计结果的准确性与稳健性,得到了E-Bayes估计为最优估计方法的结论;最后利用最优估计方法对实例进行数据拟合,确定了新疆县市级城市的人均城市道路面积可以利用反向帕累托分布近似拟合,并结合最终数据给出了相应的数据分析。 展开更多
关键词 Mlinex损失函数 反向帕累托分布 E-bayES估计 数值模拟 数据拟合
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Westerlies Affecting the Seasonal Variation of Water Vapor Transport over the Tibetan Plateau Induced by Tropical Cyclones in the Bay of Bengal
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作者 Xiaoli ZHOU Wen ZHOU +3 位作者 Dongxiao WANG Qiang XIE Lei YANG Qihua PENG 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2024年第5期881-893,共13页
This study investigates the activity of tropical cyclones(TCs)in the Bay of Bengal(BOB)from 1979 to 2018 to discover the mechanism affecting the contribution rate to the meridional moisture budget anomaly(MMBA)over th... This study investigates the activity of tropical cyclones(TCs)in the Bay of Bengal(BOB)from 1979 to 2018 to discover the mechanism affecting the contribution rate to the meridional moisture budget anomaly(MMBA)over the southern boundary of the Tibetan Plateau(SBTP).May and October–December are the bimodal phases of BOB TC frequency,which decreases month by month from October to December and is relatively low in May.However,the contribution rate to the MMBA is the highest in May.The seasonal variation in the meridional position of the westerlies is the key factor affecting the contribution rate.The relatively southern(northern)position of the westerlies in November and December(May)results in a lower(higher)contribution rate to the MMBA.This mechanism is confirmed by the momentum equation.When water vapor enters the westerlies near the trough line,the resultant meridional acceleration is directed north.It follows that the farther north the trough is,and the farther north the water vapor can be transported.When water vapor enters the westerlies from the area near the ridge line,for Type-T(Type-R)TCs,water vapor enters the westerlies downstream of the trough(ridge).Consequently,the direction of the resultant meridional acceleration is directed south and the resultant zonal acceleration is directed east(west),which is not conducive to the northward transport of water vapor.This is especially the case if the trough or ridge is relatively south,as the water vapor may not cross the SBTP. 展开更多
关键词 tropical cyclone Tibetan Plateau bay of Bengal moisture budget weste
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Joint Probability Analysis and Prediction of Sea Ice Conditions in Liaodong Bay
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作者 LIAO Zhenkun DONG Sheng +2 位作者 TAO Shanshan HUA Yunfei JIA Ning 《Journal of Ocean University of China》 CAS CSCD 2024年第1期57-68,共12页
Sea ice conditions in Liaodong Bay of China are often described by sea ice grades,which classify annual sea ice conditions based on the annual maximum sea ice thickness(AM-SIT)and annual maximum floating ice extent(AM... Sea ice conditions in Liaodong Bay of China are often described by sea ice grades,which classify annual sea ice conditions based on the annual maximum sea ice thickness(AM-SIT)and annual maximum floating ice extent(AM-FIE).The joint probability distribution of AM-SIT and AM-FIE was established on the basis of their data pairs from 1949/1950 to 2019/2020 in Liaodong Bay.The joint intensity index of the sea ice condition in the current year is calculated,and the joint classification criteria of the sea ice grades in past years are established on the basis of the joint intensity index series.A comparison of the joint criteria with the 1973 and 2022 criteria revealed that the joint criteria of the sea ice grade match well,and the joint intensity index can be used to quantify the sea ice condition over the years.A time series analysis of the sea ice grades and the joint intensity index sequences based on the joint criteria are then performed.Results show a decreasing trend of the sea ice condition from 1949/1950 to 2019/2020,a mutation in 1990/1991,and a period of approximately 91 years of the sea ice condition.In addition,the Gray-Markov model(GMM)is applied to predict the joint sea ice grade and the joint intensity index of the sea ice condition series in future years,and the error between the results and the actual sea ice condition in 2020/2021 is small. 展开更多
关键词 sea ice grade ice thickness floating ice extent Liaodong bay COPULA
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Research on the Relationship Between Environmental and Economic Coupling Systems in Bohai Bay Area Based on a Vector Autoregression(VAR)Model
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作者 CAO Huimin WANG Ping +2 位作者 ZHANG Surong XU Dongpo TIAN Weijun 《Journal of Ocean University of China》 CAS CSCD 2024年第2期557-566,共10页
This study analyzed the impact of land-based contaminants and tertiary industrial structure on economic development in the selected Bohai Bay area,China.Based on panel data spanning 2011-2020,a vector autoregressive(V... This study analyzed the impact of land-based contaminants and tertiary industrial structure on economic development in the selected Bohai Bay area,China.Based on panel data spanning 2011-2020,a vector autoregressive(VAR)model is used to analyze and forecast the short-run and long-run relationships between three industrial structures,pollutant discharge,and economic development.The results showed that the environmental index had a long-term cointegration relationship with the industrial structure economic index.Per capital chemical oxygen demand(PCOD)and per capita ammonia nitrogen(PNH_(3)N)had a positive impact on delta per capita GDP(dPGDP),while per capita solid waste(PSW),the secondary industry rate(SIR)and delta tertiary industry(dTIR)had a negative impact on dPGDP.The VAR model under this coupling system had stability and credibility.The impulse response results showed that the short-term effect of the coupling system on dPGDP was basically consistent with the Granger causality test results.In addition,variance decomposition was used in this study to predict the long-term impact of the coupling system in the next ten periods(i.e.,ten years).It was found that dTIR had a great impact on dPGDP,with a contribution rate as high as 74.35%in the tenth period,followed by the contribution rate of PCOD up to 3.94%,while the long-term contribution rates of PSW,SIR and PNH3N were all less than 1%.The results show that the government should support the development of the tertiary industry to maintain the vitality of economic development and prevent environmental deterioration. 展开更多
关键词 Bohai bay area environmental pollution industrial structure cointegration theory VAR model impulse response
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CL2ES-KDBC:A Novel Covariance Embedded Selection Based on Kernel Distributed Bayes Classifier for Detection of Cyber-Attacks in IoT Systems
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作者 Talal Albalawi P.Ganeshkumar 《Computers, Materials & Continua》 SCIE EI 2024年第3期3511-3528,共18页
The Internet of Things(IoT)is a growing technology that allows the sharing of data with other devices across wireless networks.Specifically,IoT systems are vulnerable to cyberattacks due to its opennes The proposed wo... The Internet of Things(IoT)is a growing technology that allows the sharing of data with other devices across wireless networks.Specifically,IoT systems are vulnerable to cyberattacks due to its opennes The proposed work intends to implement a new security framework for detecting the most specific and harmful intrusions in IoT networks.In this framework,a Covariance Linear Learning Embedding Selection(CL2ES)methodology is used at first to extract the features highly associated with the IoT intrusions.Then,the Kernel Distributed Bayes Classifier(KDBC)is created to forecast attacks based on the probability distribution value precisely.In addition,a unique Mongolian Gazellas Optimization(MGO)algorithm is used to optimize the weight value for the learning of the classifier.The effectiveness of the proposed CL2ES-KDBC framework has been assessed using several IoT cyber-attack datasets,The obtained results are then compared with current classification methods regarding accuracy(97%),precision(96.5%),and other factors.Computational analysis of the CL2ES-KDBC system on IoT intrusion datasets is performed,which provides valuable insight into its performance,efficiency,and suitability for securing IoT networks. 展开更多
关键词 IoT security attack detection covariance linear learning embedding selection kernel distributed bayes classifier mongolian gazellas optimization
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Changes of coastline and tidal flat and its implication for ecological protection under human activities: Take China’s Bohai Bay as an example
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作者 Yong Li Ming-zheng Wen +3 位作者 Heng Yu Peng Yang Fei-cui Wang Fu Wang 《China Geology》 CAS CSCD 2024年第1期26-35,共10页
The change processes and trends of shoreline and tidal flat forced by human activities are essential issues for the sustainability of coastal area,which is also of great significance for understanding coastal ecologic... The change processes and trends of shoreline and tidal flat forced by human activities are essential issues for the sustainability of coastal area,which is also of great significance for understanding coastal ecological environment changes and even global changes.Based on field measurements,combined with Linear Regression(LR)model and Inverse Distance Weighing(IDW)method,this paper presents detailed analysis on the change history and trend of the shoreline and tidal flat in Bohai Bay.The shoreline faces a high erosion chance under the action of natural factors,while the tidal flat faces a different erosion and deposition patterns in Bohai Bay due to the impact of human activities.The implication of change rule for ecological protection and recovery is also discussed.Measures should be taken to protect the coastal ecological environment.The models used in this paper show a high correlation coefficient between observed and modeling data,which means that this method can be used to predict the changing trend of shoreline and tidal flat.The research results of present study can provide scientific supports for future coastal protection and management. 展开更多
关键词 SHORELINE Tidal flat Erosion deposition patterns Changing trend Ecological protection Human activity Linear regression model Inverse distance weighing method Prediction Bohai bay
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基于Navie Bayes算法与k-means聚类算法的财务数据库异常检测
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作者 周军侠 《微型电脑应用》 2024年第3期60-63,共4页
为了有效消除用户异常行为对企业财务数据库所带来的安全隐患,以往的数据库异常检测技术(如Navie Bayes算法)通常采用查询反馈,并建立用户行为特征(用户行为轮廓)的方法查找安全隐患,而该方法构建训练集耗时较多,效果不显著。因此,提出... 为了有效消除用户异常行为对企业财务数据库所带来的安全隐患,以往的数据库异常检测技术(如Navie Bayes算法)通常采用查询反馈,并建立用户行为特征(用户行为轮廓)的方法查找安全隐患,而该方法构建训练集耗时较多,效果不显著。因此,提出一种基于Navie Bayes算法与k-means聚类算法相结合的财务数据库异常检测技术。通过调取财务数据库运行日志中的用户查询内容及相应结果,采用k-means聚类算法进行用户分组,采用Navie Bayes算法构建异常检测模型。应用测试结果表明,与传统的用户行为轮廓算法相比,所提算法的训练效率更高,准确率大幅提高,综合F_(1)值有所提升,提高了财务数据的安全性。 展开更多
关键词 财务数据库 异常检测 Navie bayes算法 安全隐患 K-MEANS聚类算法
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损失函数下逐步二型删失数据广义Pareto分布参数的Bayes估计
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作者 苏燕青 金良琼 +3 位作者 邹路燕 陶永 李琼忆 冉烨军 《科学技术创新》 2024年第5期66-69,共4页
基于逐步二型删失数据,在几种不同的损失函数下,选择广义Pareto分布,讨论其形状参数的Bayes估计。当尺度参数给定时,为θ参数引入Gamma分布作为先验分布,得到了几种不同损失函数下参数θ的Bayes估计的数学表达式,通过数值模拟方法,比较... 基于逐步二型删失数据,在几种不同的损失函数下,选择广义Pareto分布,讨论其形状参数的Bayes估计。当尺度参数给定时,为θ参数引入Gamma分布作为先验分布,得到了几种不同损失函数下参数θ的Bayes估计的数学表达式,通过数值模拟方法,比较了几种损失函数下所得到的Bayes估计的效果。结果表明:在Linex损失函数下,广义Pareto分布参数的Bayes估计效果最优。 展开更多
关键词 逐步二型删失数据 广义PARETO分布 bayES估计 损失函数 可容许性
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无失效数据场合下Pareto分布可靠度的Bayes估计
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作者 汪茜熙 《绵阳师范学院学报》 2024年第2期19-24,48,共7页
在无失效数据场合下,根据Pareto分布的分布函数的上凸函数性质,讨论Pareto分布可靠度的Bayes估计.首先取关于失效概率P_(i)的减函数(1-P_(i))^(a)作为P_(i)先验分布的核函数,给出了可靠度Ri的先验分布,然后计算其Bayes估计,最后进行了... 在无失效数据场合下,根据Pareto分布的分布函数的上凸函数性质,讨论Pareto分布可靠度的Bayes估计.首先取关于失效概率P_(i)的减函数(1-P_(i))^(a)作为P_(i)先验分布的核函数,给出了可靠度Ri的先验分布,然后计算其Bayes估计,最后进行了算例分析.算例分析结果表明,与取均匀分布作为失效概率的先验分布相比,本文提出的方法有效提高了Pareto分布可靠度的估计精度. 展开更多
关键词 PARETO分布 无失效数据 bayES估计 可靠度
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Report for Type 2 Bayes-Fuzzy Estimation in No-Data Problem
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作者 Houju Hori Jr. Kazuhisa Takemura Yukio Matsumoto 《Applied Mathematics》 2024年第1期46-50,共5页
It is well known that the system (1 + 1) can be unequal to 2, because this system has both observation error and system error. Furthermore, we must provide our mustered service within our cool head and warm heart, whe... It is well known that the system (1 + 1) can be unequal to 2, because this system has both observation error and system error. Furthermore, we must provide our mustered service within our cool head and warm heart, where two states of nature are existing upon us. Any system is regarded as the two-dimensional variable error model. On the other hand, we consider that the fuzziness is existing in this system. Though we can usually obtain the fuzzy number from the possibility theory, it is not fuzzy but possibility, because the possibility function is as same as the likelihood function, and we can obtain the possibility measure by the maximal likelihood method (i.e. max product method proposed by Dr. Hideo Tanaka). Therefore, Fuzzy is regarded as the only one case according to Vague, which has both some state of nature in this world and another state of nature in the other world. Here, we can consider that Type 1 Vague Event in other world can be obtained by mapping and translating from Type 1 fuzzy Event in this world. We named this estimation as Type 1 Bayes-Fuzzy Estimation. When the Vague Events were abnormal (ex. under War), we need to consider that another world could exist around other world. In this case, we call it Type 2 Bayes-Fuzzy Estimation. Where Hori et al. constructed the stochastic different equation upon Type 1 Vague Events, along with the general following probabilistic introduction method from the single regression model, multi-regression model, AR model, Markov (decision) process, to the stochastic different equation. Furthermore, we showed that the system theory approach is Possibility Markov Process, and that the making decision approach is Sequential Bayes Estimation, too. After all, Type 1 Bays-Fuzzy estimation is the special case in Bayes estimation, because the pareto solutions can exist in two stochastic different equations upon Type 2 Vague Events, after we ignore one equation each other (note that this is Type 1 case), we can obtain both its system solution and its decision solution. Here, it is noted that Type 2 Vague estimation can be applied to the shallow abnormal decision problem with possibility reserved judgement. However, it is very important problem that we can have no idea for possibility reserved judgement under the deepest abnormal envelopment (ex. under War). Expect for this deepest abnormal decision problem, Bayes estimation can completely cover fuzzy estimation. In this paper, we explain our flowing study and further research object forward to this deepest abnormal decision problem. 展开更多
关键词 bayes-Fuzzy Estimation Possibility Markov Process Possibility Reserved Judgement
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加权平衡损失函数下逆伽马分布的Bayes估计
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作者 罗琼 周菊玲 《曲阜师范大学学报(自然科学版)》 CAS 2023年第2期19-24,共6页
在逆伽马分布尺度参数的先验分布为其共轭先验分布伽马分布Γ(a,b)时,给出了其在加权平衡损失函数下的Bayes估计、E-Bayes估计和多层Bayes估计.最后通过数值模拟,说明了此3种估计具有较高的稳健性和精确性,其中多层Bayes估计的稳健性最... 在逆伽马分布尺度参数的先验分布为其共轭先验分布伽马分布Γ(a,b)时,给出了其在加权平衡损失函数下的Bayes估计、E-Bayes估计和多层Bayes估计.最后通过数值模拟,说明了此3种估计具有较高的稳健性和精确性,其中多层Bayes估计的稳健性最好,E-Bayes估计的精确性最好. 展开更多
关键词 加权平衡损失函数 逆伽马分布 bayES估计 E-bayES估计 多层bayES估计
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复合Linex对称损失下逆伽马分布参数的Bayes估计
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作者 粟磊 周菊玲 《理论数学》 2023年第7期2017-2023,共7页
本文主要研究了在复合Linex对称损失函数下先验分布为伽马分布的逆伽马分布尺度参数的Bayes估计、E-Bayes估计和多层Bayes估计,并通过数值模拟说明了三种估计的稳健性和精确度,其中Bayes估计的稳健性和精确度都是最高的。
关键词 复合Linex对称损失函数 逆伽马分布 bayES估计 E-bayES估计 多层bayES估计
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