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Experts' Knowledge Fusion in Model-Based Diagnosis Based on Bayes Networks 被引量:5
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作者 Deng Yong & Shi Wenkang School of Electronics & Information Technology, Shanghai Jiaotong University, Shanghai 200030, P. R. China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2003年第2期25-30,共6页
In previous researches on a model-based diagnostic system, the components are assumed mutually independent. Howerver , the assumption is not always the case because the information about whether a component is faulty ... In previous researches on a model-based diagnostic system, the components are assumed mutually independent. Howerver , the assumption is not always the case because the information about whether a component is faulty or not usually influences our knowledge about other components. Some experts may draw such a conclusion that 'if component m 1 is faulty, then component m 2 may be faulty too'. How can we use this experts' knowledge to aid the diagnosis? Based on Kohlas's probabilistic assumption-based reasoning method, we use Bayes networks to solve this problem. We calculate the posterior fault probability of the components in the observation state. The result is reasonable and reflects the effectiveness of the experts' knowledge. 展开更多
关键词 Model-based diagnosis Experts' knowledge Probabilistic assumption-based reasoning bayes networks.
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Activities of daily living and lesion position among multiple sclerosis patients by Bayes network
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作者 Zhifang Pan Hongtao Lu Qi Cheng 《Neural Regeneration Research》 SCIE CAS CSCD 2013年第14期1327-1336,共10页
Magnetic resonance imaging is a highly sensitive approach for diagnosis of multiple sclerosis, and T2-weighted images can reveal lesions in the cerebral white matter, gray matter, and spinal cord. However, the lesions... Magnetic resonance imaging is a highly sensitive approach for diagnosis of multiple sclerosis, and T2-weighted images can reveal lesions in the cerebral white matter, gray matter, and spinal cord. However, the lesions have a poor correlation with measurable clinical disability. In this study, we performed a large-scale epidemiological survey of 238 patients with multiple sclerosis in eleven districts by network member hospitals in Shanghai, China within 1 year. The involved patients were scanned for position and size of lesions by MRI. Results showed that lesions in the cerebrum, spina cord, or supratentorial position had an impact on the activities of daily living in multiple sclerosis patients, as assessed by the Bayes network. On the other hand, brainstem lesions were very unlikely to influence the activities of daily living, and were not associated with the position of lesion, patient's gender, and patient's living place. 展开更多
关键词 neural regeneration neurodegenerative diseases multiple sclerosis magnetic resonance imaging bayes network activities of daily living epidemiological survey grants-supported paper NEUROREGENERATION
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基于Bayes network含失效节点的网络可靠性评估 被引量:4
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作者 李振 孙新利 +1 位作者 姬国勋 刘志勇 《系统工程理论与实践》 EI CSSCI CSCD 北大核心 2011年第10期1974-1984,共11页
针对Bayes network(BN)能很好地表示变量的不确定性和相关性,并能直接进行不确定性推理的优势,提出了基于BN含失效节点的网络可靠性评估方法.建模方面,给出了通过节点分割去环构建有向无环图及条件概率表的具体方法;推理方面,通过节点消... 针对Bayes network(BN)能很好地表示变量的不确定性和相关性,并能直接进行不确定性推理的优势,提出了基于BN含失效节点的网络可靠性评估方法.建模方面,给出了通过节点分割去环构建有向无环图及条件概率表的具体方法;推理方面,通过节点消隐,减小BN规模,有效降低推理复杂度.分析了算法复杂度,并通过算例证明了算法的有效性和适用性.由于BN建模及推理的灵活性,该方法可研究同时含节点失效、共因失效的网络可靠性,况且通过BN推理除得到网络失效概率和部件重要度外,还可得到网络失效条件下任一部件失效或者共因失效发生的概率,为故障诊断和维护提供指导. 展开更多
关键词 网络可靠性 失效节点 共因失效 bayes netWORK
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Mono-isotope Prediction for Mass Spectra Using Bayes Network 被引量:1
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作者 Hui Li Chunmei Liu +1 位作者 Mugizi Robert Rwebangira Legand Burge 《Tsinghua Science and Technology》 SCIE EI CAS 2014年第6期617-623,共7页
Mass spectrometry is one of the widely utilized important methods to study protein functions and components. The challenge of mono-isotope pattern recognition from large scale protein mass spectral data needs computat... Mass spectrometry is one of the widely utilized important methods to study protein functions and components. The challenge of mono-isotope pattern recognition from large scale protein mass spectral data needs computational algorithms and tools to speed up the analysis and improve the analytic results. We utilized na¨?ve Bayes network as the classifier with the assumption that the selected features are independent to predict monoisotope pattern from mass spectrometry. Mono-isotopes detected from validated theoretical spectra were used as prior information in the Bayes method. Three main features extracted from the dataset were employed as independent variables in our model. The application of the proposed algorithm to public Mo dataset demonstrates that our na¨?ve Bayes classifier is advantageous over existing methods in both accuracy and sensitivity. 展开更多
关键词 bayes network tandem mass spectrum mono-isotope prediction
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基于随机建模与Bayes推断的结构热传导数字孪生建模方法研究
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作者 李建宇 付介祥 +1 位作者 郝鑫野 李广利 《应用数学和力学》 北大核心 2025年第8期983-998,共16页
极端热环境条件下结构传热温度场的准确预测是评估装备热⁃力耦合性能的关键基础.数字孪生(digital twin)技术通过对观测数据与仿真模型的深度融合,可实现温度场的高精度动态重构.然而,考虑观测噪声、模型参数不确定性、边界条件扰动等... 极端热环境条件下结构传热温度场的准确预测是评估装备热⁃力耦合性能的关键基础.数字孪生(digital twin)技术通过对观测数据与仿真模型的深度融合,可实现温度场的高精度动态重构.然而,考虑观测噪声、模型参数不确定性、边界条件扰动等多源不确定性因素的结构传热温度场预测数字孪生模型目前还不多见.该文基于Bayes推断框架,提出了一种结合随机传热分析的数据与模型融合方法,旨在构建考虑不确定性量化的热传导数字孪生模型.首先,在热传导方程中引入随机扰动热源项,以模拟未被原模型量化表征的不确定性因素;其次,采用随机有限元方法求解随机扰动热传导模型,获得包含物理信息的温度场先验分布;最后,基于Bayes法则,将含噪声的观测数据与模型预测先验分布进行融合,并针对Gauss分布情形推导出温度场后验分布的解析表达式.通过一维和二维热传导算例验证,所提方法不仅能够实现对温度场的高精度预测,还可有效量化预测结果的不确定性. 展开更多
关键词 热传导分析 数字孪生 随机有限元 bayes推断 不确定性量化
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基于Fisher变换和Bayes分类原理的RC梁柱中节点破坏形态多参数判别方法
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作者 王素裹 范存喜 郑宜 《华南理工大学学报(自然科学版)》 北大核心 2025年第12期107-116,共10页
钢筋混凝土梁柱节点在侧向荷载作用下的多种不同破坏形态对结构性能具有不同的影响,因此准确划分构件的破坏形态是结构性能设计中确定构件变形性能限值的关键。现有研究对梁柱节点不同破坏形态之间尚未明确划分界限,且难以通过单一参数... 钢筋混凝土梁柱节点在侧向荷载作用下的多种不同破坏形态对结构性能具有不同的影响,因此准确划分构件的破坏形态是结构性能设计中确定构件变形性能限值的关键。现有研究对梁柱节点不同破坏形态之间尚未明确划分界限,且难以通过单一参数区分出不同破坏类型对应的区间。基于Fisher变换和Bayes分类原理提出了一种能更准确、更方便应用的考虑多参数影响的梁柱中节点破坏形态判别方法。该方法先通过Fisher判别法寻找类与类最大分离的投影空间,将原样本向最大分离空间投影,从而获得更利于分类的新样本;在此基础上,进一步结合Bayes分类原理对新样本进行分类判别。在中节点破坏形态划分研究中,基于此分类方法,在选取轴压比、剪压比、混凝土强度和配箍特征值4个参数组合的基础上,建立了相应的多参数分类判别方程,达到了较好划分出梁柱中节点破坏形态和明确不同破坏形态对应的区间的目的。此外,还通过对影响因素的敏感性分析,确定了剪压比对梁柱中节点破坏形态的影响权重最大、配箍特征值次之,因此,调整剪压比和配箍特征值是避免该节点产生剪切破坏的有效途径。 展开更多
关键词 钢筋混凝土 梁柱中节点 FISHER变换 bayes分类 破坏形态
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k阶Erlang分布参数在加权p、q对称熵损失下的Bayes估计
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作者 季海波 《淮阴师范学院学报(自然科学版)》 2025年第2期102-106,共5页
研究了k阶Erlang分布的参数在加权p、q对称熵损失下的Bayes估计问题.在不同先验分布下给出了参数的Bayes估计的精确形式,进一步研究了Gamma先验分布情形下多层Bayes估计和E-Bayes估计,并运用Monte-Carlo模拟方法验证了各个Bayes估计的... 研究了k阶Erlang分布的参数在加权p、q对称熵损失下的Bayes估计问题.在不同先验分布下给出了参数的Bayes估计的精确形式,进一步研究了Gamma先验分布情形下多层Bayes估计和E-Bayes估计,并运用Monte-Carlo模拟方法验证了各个Bayes估计的合理性. 展开更多
关键词 ERLANG分布 加权p、q对称熵损失 bayes估计 Monte-Carlo模拟
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FLBS: Fuzzy lion Bayes system for intrusion detection in wireless communication network 被引量:2
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作者 NARENDRASINH B Gohil VDEVYAS Dwivedi 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第11期3017-3033,共17页
An important problem in wireless communication networks (WCNs) is that they have a minimum number of resources, which leads to high-security threats. An approach to find and detect the attacks is the intrusion detecti... An important problem in wireless communication networks (WCNs) is that they have a minimum number of resources, which leads to high-security threats. An approach to find and detect the attacks is the intrusion detection system (IDS). In this paper, the fuzzy lion Bayes system (FLBS) is proposed for intrusion detection mechanism. Initially, the data set is grouped into a number of clusters by the fuzzy clustering algorithm. Here, the Naive Bayes classifier is integrated with the lion optimization algorithm and the new lion naive Bayes (LNB) is created for optimally generating the probability measures. Then, the LNB model is applied to each data group, and the aggregated data is generated. After generating the aggregated data, the LNB model is applied to the aggregated data, and the abnormal nodes are identified based on the posterior probability function. The performance of the proposed FLBS system is evaluated using the KDD Cup 99 data and the comparative analysis is performed by the existing methods for the evaluation metrics accuracy and false acceptance rate (FAR). From the experimental results, it can be shown that the proposed system has the maximum performance, which shows the effectiveness of the proposed system in the intrusion detection. 展开更多
关键词 intrusion detection wireless communication network fuzzy clustering naive bayes classifier lion naive bayes system
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Improve Computer Visualization of Architecture Based on the Bayesian Network 被引量:1
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作者 Tao Shen Yukari Nagai Chan Gao 《Computers, Materials & Continua》 SCIE EI 2019年第2期307-318,共12页
Computer visualization has marvelous effects when it is applied in various fields,especially in architectural design.As an emerging force in the innovation industry,architects and design agencies have already demonstr... Computer visualization has marvelous effects when it is applied in various fields,especially in architectural design.As an emerging force in the innovation industry,architects and design agencies have already demonstrated the value of architectural visual products in actual application projects.Based on the digital image technology,virtual presentation of future scenes simulates architecture design,architectural renderings and multimedia videos.Therefore,it can help design agencies transform the theoretical design concept into a lively and realistic visual which can provide the audience with a clearer understanding of the engineering and construction projects.However,it is challenging for designers to produce satisfactory renderings due to the frequent fault data during rendering.In this paper,we use the 3Ds MAX as the operating platform and we present an algorithm based on the Bayesian network to construct a vector representation of the fault data.On this basis,a case study of 3D Max’application has also been presented. 展开更多
关键词 3Ds MAX architectural visualization application geometric reconstruction bayes.
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基于Bayes超参数优化梯度提升树的心脏病预测方法 被引量:2
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作者 王海燕 焦增晨 +2 位作者 赵剑 安天博 鞠熠 《吉林大学学报(理学版)》 北大核心 2025年第2期472-478,共7页
针对传统机器学习算法在数据集Cleveland和Hungary上预测准确率低的问题,提出一种基于Bayes超参数优化梯度提升树的心脏病预测方法.首先,采用K-最近邻算法对数据集中的缺失值进行填补,用Min-Max标准化、One-Hot编码处理数据,并基于梯度... 针对传统机器学习算法在数据集Cleveland和Hungary上预测准确率低的问题,提出一种基于Bayes超参数优化梯度提升树的心脏病预测方法.首先,采用K-最近邻算法对数据集中的缺失值进行填补,用Min-Max标准化、One-Hot编码处理数据,并基于梯度提升树算法进行心脏病预测;其次,采用Bayes优化和十倍交叉验证的方式搜寻算法的最佳超参数组合.实验结果表明,优化后的梯度提升树算法在心脏病数据集Cleveland上预测准确率可达90.2%,在心脏病数据集Hungary上预测准确率可达81.4%,优于决策树、支持向量机、K-最近邻等传统机器学习方法,可辅助医生进行心脏病诊断. 展开更多
关键词 心脏病预测 K-最近邻算法 梯度提升树 bayes优化
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Social Network Rumor Recognition Based on Enhanced Naive Bayes 被引量:2
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作者 Lei Guo 《Journal of New Media》 2021年第3期99-107,共9页
In recent years,with the increasing popularity of social networks,rumors have become more common.At present,the solution to rumors in social networks is mainly through media censorship and manual reporting,but this me... In recent years,with the increasing popularity of social networks,rumors have become more common.At present,the solution to rumors in social networks is mainly through media censorship and manual reporting,but this method requires a lot of manpower and material resources,and the cost is relatively high.Therefore,research on the characteristics of rumors and automatic identification and classification of network message text is of great significance.This paper uses the Naive Bayes algorithm combined with Laplacian smoothing to identify rumors in social network texts.The first is to segment the text and remove the stop words after the word segmentation is completed.Because of the data-sensitive nature of Naive Bayes,this paper performs text preprocessing on the input data.Then a naive Bayes classifier is constructed,and the Laplacian smoothing method is introduced to solve the problem of using the naive Bayes model to estimate the zero probability in rumor recognition.Finally,experiments show that the Naive Bayes algorithm combined with Laplace smoothing can effectively improve the accuracy of rumor recognition. 展开更多
关键词 Rumor recognition social network machine learning naive bayes laplacian smoothing
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Bayesian Estimation in Dam Monitoring Networks 被引量:1
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作者 Joo Manuel Martins Casaca Pedro Jorge Bele Mateus Joeo de Jesus Isidoro Coelho 《Journal of Civil Engineering and Architecture》 2011年第2期185-190,共6页
A Bayesian estimator with informative prior distributions (a multi-normal and an inverted gamma distribution), adequate to displacement estimation at dam displacement monitoring networks, is presented. The hyper-par... A Bayesian estimator with informative prior distributions (a multi-normal and an inverted gamma distribution), adequate to displacement estimation at dam displacement monitoring networks, is presented. The hyper-parameters of the prior distributions are obtained by Bayesian empirical methods with non-informative meta-priors. The performances of the Bayes estimator and the classical generalized lest squares estimator are compared using two measurements of the horizontal monitoring network of a concrete gravity dam: the Penha Garcia dam (Portugal). In order to test the robustness of the two estimators, a gross error is added to one of the measured horizontal directions: the Bayes estimator proves to be significantly more robust than the classic maximum likelihood estimator. 展开更多
关键词 bayes estimator hyper-parameter parametric elicitation prior distribution.
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Linking Structural Equation Modeling with Bayesian Network and Its Application to Coastal Phytoplankton Dynamics in the Bohai Bay
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作者 XU Xiao-fu SUN Jian +2 位作者 NIE Hong-tao YUAN De-kui TAO Jian-hua 《China Ocean Engineering》 SCIE EI CSCD 2016年第5期733-748,共16页
Bayesian networks (BN) have many advantages over other methods in ecological modeling, and have become an increasingly popular modeling tool. However, BN are flawed in regard to building models based on inadequate e... Bayesian networks (BN) have many advantages over other methods in ecological modeling, and have become an increasingly popular modeling tool. However, BN are flawed in regard to building models based on inadequate existing knowledge. To overcome this limitation, we propose a new method that links BN with structural equation modeling (SEM). In this method, SEM is used to improve the model structure for BN. This method was used to simulate coastal phytoplankton dynamics in the Bohai Bay. We demonstrate that this hybrid approach minimizes the need for expert elicitation, generates more reasonable structures for BN models, and increases the BN model's accuracy and reliability. These results suggest that the inclusion of SEM for testing and verifying the theoretical structure during the initial construction stage improves the effectiveness of BN models, especially for complex eco-environment systems. The results also demonstrate that in the Bohai Bay, while phytoplankton biomass has the greatest influence on phytoplankton dynamics, the impact of nutrients on phytoplankton dynamics is larger than the influence of the physical environment in summer. Furthermore, although the Redfield ratio indicates that phosphorus should be the primary nutrient limiting factor, our results show that silicate plays the most important role in regulating phytoplankton dynamics in the Bohai Bay. 展开更多
关键词 structural equation modeling bayesian networks ecological modeling Bohai Bay phytoplankton dynamics
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基于Bayes推断的COVID-19流行病干预政策评估
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作者 罗俊藤 唐明 《华东师范大学学报(自然科学版)》 北大核心 2025年第3期157-166,共10页
为应对2019年新型冠状病毒病(corona virus disease 2019,COVID-19)的大流行,全球197个国家采取了各种防控政策,取得了不同程度的抑制效果.许多学者利用数学建模分析了各种非药物干预和疫苗接种政策对COVID-19传播的影响,但这些研究主... 为应对2019年新型冠状病毒病(corona virus disease 2019,COVID-19)的大流行,全球197个国家采取了各种防控政策,取得了不同程度的抑制效果.许多学者利用数学建模分析了各种非药物干预和疫苗接种政策对COVID-19传播的影响,但这些研究主要侧重于定量评估干预政策对COVID-19再生数的影响.建立了一个双层Bayes模型,并基于Bayes推断分别定量评估了不同政策对COVID-19感染和恢复过程影响的有效性;将干预措施分为公共卫生干预政策和管控政策两大类.结果显示,两类干预政策都可以降低COVID-19的感染率,提高COVID-19的恢复率;但干预政策的类型对传播过程和恢复过程的影响有明显的倾向性,即公共卫生干预政策更有助于COVID-19的恢复过程,大多数管控政策及部分公共卫生措施对COVID-19的传播过程影响较大. 展开更多
关键词 COVID-19 传播 恢复 bayes推断 政策评估
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一种对称损失下逆Topp-Leone分布参数的Bayes分析
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作者 王佳旭 徐宝 《江西师范大学学报(自然科学版)》 北大核心 2025年第5期531-538,550,共9页
该文运用Bayes参数估计方法,在加权p、q对称损失函数下研究逆Topp-Leone分布参数的Bayes估计形式及其性质,得到了在无信息先验分布和共轭先验分布下参数的Bayes估计的精确形式,证明了所得估计具有可容许性和最小最大性.在所得Bayes估计... 该文运用Bayes参数估计方法,在加权p、q对称损失函数下研究逆Topp-Leone分布参数的Bayes估计形式及其性质,得到了在无信息先验分布和共轭先验分布下参数的Bayes估计的精确形式,证明了所得估计具有可容许性和最小最大性.在所得Bayes估计基础上,得到了参数的多层Bayes估计、经验Bayes估计以及刀切Bayes估计.最后,借助R软件并结合马尔可夫链蒙特卡罗(MCMC)算法对估计进行数值模拟,结果显示:所得估计的精度都较高,特别地,在共轭先验分布下参数的Bayes估计的精度略高于在无信息先验分布下参数的Bayes估计的精度. 展开更多
关键词 逆Topp-Leone分布 损失函数 bayes估计 可容许性 MCMC算法
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SPOT和Bayes递推估计融合的运载火箭样本量设计
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作者 黄彭奇子 段晓君 张银辉 《国防科技大学学报》 北大核心 2025年第1期207-213,共7页
针对运载火箭小子样条件,结合序贯验后加权检验(sequential posterior odd test, SPOT)和Bayes递推估计法,分别从假设检验和参数估计两方面,对传统试验样本量评估方法进行改进。在对运载火箭服从正态分布的性能指标进行评估时,引入复合... 针对运载火箭小子样条件,结合序贯验后加权检验(sequential posterior odd test, SPOT)和Bayes递推估计法,分别从假设检验和参数估计两方面,对传统试验样本量评估方法进行改进。在对运载火箭服从正态分布的性能指标进行评估时,引入复合等效系数来有效融合多源数据,弥补真实试验数据或现场数据的不足。综合考虑两类风险和置信度要求,制定合理的评估方案,有效减少所需试验样本数量,从而控制试验成本。通过算例分析发现,提出样本量评估方法结果真实可信,能够有效降低样本量需求,可较好用于小子样条件下的运载火箭样本量试验设计。 展开更多
关键词 样本量评估 SPOT bayes估计
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双定数混合截尾下Lomax分布参数的Bayes估计
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作者 韩旭 李云飞 《西华师范大学学报(自然科学版)》 2025年第3期263-268,共6页
在双定数混合截尾试验下,针对双参数Lomax分布,求出了形状参数的极大似然估计,研究了形状参数的Bayes估计。当尺度参数已知,取形状参数的先验分布为Gamma分布时,在4种不同损失函数下,给出了形状参数的Bayes估计,并结合粒子群算法寻找最... 在双定数混合截尾试验下,针对双参数Lomax分布,求出了形状参数的极大似然估计,研究了形状参数的Bayes估计。当尺度参数已知,取形状参数的先验分布为Gamma分布时,在4种不同损失函数下,给出了形状参数的Bayes估计,并结合粒子群算法寻找最优超参数。最后,在各种损失函数下,对形状参数Bayes估计值的平均相对误差进行比较。数值分析结果表明,粒子群算法能更加准确高效地确定超参数,使得在不同损失函数下形状参数的Bayes估计更加精确。 展开更多
关键词 Lomax分布 双定数混合截尾 极大似然估计 bayes估计 粒子群算法
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加权p、q对称损失函数下Topp-Leone分布的Bayes估计
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作者 王佳旭 徐宝 《井冈山大学学报(自然科学版)》 2025年第5期1-11,共11页
该文针对加权p、q对称损失函数的场景,运用Bayes参数估计法,对Topp-Leone分布参数的贝叶斯估计形式与性质展开探究。并针对无信息先验分布与共轭先验分布两种情形,成功推导出了参数估计量的精确表达式,从理论上验证了这些估计的可容许... 该文针对加权p、q对称损失函数的场景,运用Bayes参数估计法,对Topp-Leone分布参数的贝叶斯估计形式与性质展开探究。并针对无信息先验分布与共轭先验分布两种情形,成功推导出了参数估计量的精确表达式,从理论上验证了这些估计的可容许性及最小最大估计。经过计算,得到了多层Bayes估计、刀切Bayes估计以及经验Bayes估计。最后,利用R语言软件结合MCMC算法对这些估计进行数值模拟,结果表明,无信息先验分布下的Bayes估计在精度方面优于共轭先验分布下的Bayes估计。 展开更多
关键词 Topp-Leone分布 加权p、q对称损失函数 bayes估计 可容许性 MCMC算法
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双定时混合截尾下双参数指数分布参数的Bayes估计
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作者 牟悦嘉 李云飞 《西华师范大学学报(自然科学版)》 2025年第5期492-498,共7页
在双定时混合截尾场合下,针对双参数指数分布,首先研究了门限参数(μ)和尺度参数(θ)的极大似然估计。然后讨论了μ已知时,θ在3种损失函数下的Bayes估计和E-Bayes估计,结合遗传算法得到了共轭先验分布中超参数的最优值,数值模拟表明遗... 在双定时混合截尾场合下,针对双参数指数分布,首先研究了门限参数(μ)和尺度参数(θ)的极大似然估计。然后讨论了μ已知时,θ在3种损失函数下的Bayes估计和E-Bayes估计,结合遗传算法得到了共轭先验分布中超参数的最优值,数值模拟表明遗传算法能够更加准确地估计超参数,从而提高参数Bayes估计的精度。最后研究了μ和θ均未知时两个参数的Bayes估计,数值模拟表明两参数的Bayes估计精度高于极大似然估计精度。 展开更多
关键词 双参数指数分布 双定时混合截尾 极大似然估计 bayes估计 E-bayes估计
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加权平方损失函数下Rayleigh分布参数的刀切Bayes估计
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作者 于雪松 徐宝 《淮阴师范学院学报(自然科学版)》 2025年第2期95-101,115,共8页
利用刀切法和Bayes估计方法,在加权平方损失函数下,得到Rayleigh分布在选取先验分布为Jefferys无信息分布和Gamma分布的情况下参数的Bayes估计的精确形式,在此基础上进一步研究了参数的刀切Bayes估计.最后在R软件中运用MCMC(Markov Chai... 利用刀切法和Bayes估计方法,在加权平方损失函数下,得到Rayleigh分布在选取先验分布为Jefferys无信息分布和Gamma分布的情况下参数的Bayes估计的精确形式,在此基础上进一步研究了参数的刀切Bayes估计.最后在R软件中运用MCMC(Markov Chain Monte Carlo)算法对Rayleigh分布参数的Bayes估计和刀切Bayes估计进行数值模拟.模拟结果显示:当样本容量较大时,相同先验分布下刀切Bayes估计模拟效果更好. 展开更多
关键词 RAYLEIGH分布 加权平方损失函数 刀切bayes估计 MCMC算法
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