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学者姓名：程维虎
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摘要 ：
Tolerance intervals (TIs) are commonly employed in numerous industries, ranging from engineering to pharmaceuticals. However, closed-form TIs are unavailable for most distributions. Although some approximate methods can be used to obtain TIs, coverage probabilities (CPs) of these TIs cannot achieve the nominal level, or can be even far different from the nominal level. In this study, we propose two content-adjusted procedures for TIs based on bootstrap. The first one is based on the bootstrap sample quantile, while the second one is based on the asymptotic normality of empirical distribution. The simulation results show that the two calibration procedures can improve CPs of TIs for some non-normal distributions according to extensive numerical simulations, and they are both proved to be effective through real data examples.
关键词 ：
non-normal distributions non-normal distributions content correction content correction tolerance intervals tolerance intervals bootstrap calibration bootstrap calibration calibration interval calibration interval
引用：
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| GB/T 7714 | Jiao, Junjun , Zhao, Xu , Cheng, Weihu . Content-adjusted tolerance intervals via bootstrap calibration [J]. | STAT , 2022 , 11 (1) . |
| MLA | Jiao, Junjun 等. "Content-adjusted tolerance intervals via bootstrap calibration" . | STAT 11 . 1 (2022) . |
| APA | Jiao, Junjun , Zhao, Xu , Cheng, Weihu . Content-adjusted tolerance intervals via bootstrap calibration . | STAT , 2022 , 11 (1) . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
在氢能源的开发和利用中,储氢设备的质量分级评价十分重要.本文利用最优加权法对改进的层次分析法的权重进行优化,得到了各因素的层次分析法—熵权法权重;参照承压容器的质量分级通则,构建高压储氢模拟容器进行质量分级模型.利用分级通则模型和我们所建立的模型对102个模拟储氢罐分别进行质量分级,发现两种分级的结果没有显著差异,但我们所建立的模型简便实用.
引用：
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| GB/T 7714 | 徐奇 , 程维虎 , 段志祥 et al. 高压储氢设备质量分级评价统计建模研究 [J]. | 数理统计与管理 , 2021 , 40 (3) : 395-404 . |
| MLA | 徐奇 et al. "高压储氢设备质量分级评价统计建模研究" . | 数理统计与管理 40 . 3 (2021) : 395-404 . |
| APA | 徐奇 , 程维虎 , 段志祥 , 石坤 . 高压储氢设备质量分级评价统计建模研究 . | 数理统计与管理 , 2021 , 40 (3) , 395-404 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
随机总体分位数的统计推断理论与方法一直是统计学研究的重要课题.其主要原因是分位数的应用涉及众多领域,且在各领域的研究中起到举足轻重的作用.本文系统地论述了基于样本次序统计量的总体分位数的非参数统计推断的理论和方法;给出了基于样本次序统计量的总体分位数的估计方法,总体两个分位数之差的置信区间,总体容许区间的求解方法及符号检验.希望有助于读者的科研与应用.
关键词 ：
容许区间 容许区间 总体分位数 总体分位数 次序统计量 次序统计量 置信区间 置信区间 非参数推断 非参数推断
引用：
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| GB/T 7714 | 赵旭 , 程维虎 . 基于样本次序统计量的总体分位数的非参数统计推断 [J]. | 应用数学学报 , 2021 , 44 (04) : 475-491 . |
| MLA | 赵旭 et al. "基于样本次序统计量的总体分位数的非参数统计推断" . | 应用数学学报 44 . 04 (2021) : 475-491 . |
| APA | 赵旭 , 程维虎 . 基于样本次序统计量的总体分位数的非参数统计推断 . | 应用数学学报 , 2021 , 44 (04) , 475-491 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
In this paper, we propose a least-squares estimator based on Logistic transformation of order statistics (LLSE) and grouped LLSE for the generalized Logistic distribution. Some asymptotic results are provided. Two simulations are undertaken to assess the performance of the proposed method and to compare them with other methods suggested in this paper. The simulation results indicate that LLSE performs better than some other methods and grouped LLSE performs fairly well in small sample size. Finally, LLSE is applied to a real dataset.
关键词 ：
logistic transformation logistic transformation least squares least squares Generalized logistic distribution Generalized logistic distribution
引用：
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| GB/T 7714 | Chen, Haiqing , Zhao, Xu , Zhu, Leilei et al. Fitting generalized logistic distribution by least squares based on the logistic transformation of order statistics [J]. | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2021 , 52 (2) : 263-272 . |
| MLA | Chen, Haiqing et al. "Fitting generalized logistic distribution by least squares based on the logistic transformation of order statistics" . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 52 . 2 (2021) : 263-272 . |
| APA | Chen, Haiqing , Zhao, Xu , Zhu, Leilei , Cheng, Weihu , Xu, Lu . Fitting generalized logistic distribution by least squares based on the logistic transformation of order statistics . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2021 , 52 (2) , 263-272 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
教学基本功比赛在青年教师成长过程中发挥着十分重要的作用,对于提高教师课堂教学能力、改进教育教学方法有着十分重要的意义。文章总结了青年教师教学基本功比赛的相关经验,结合日常教学工作,对青年教师丰富课堂内容、提升课堂效率、提高自身教学能力等问题展开讨论,并对如何提升教师课堂教学能力进行了分析。
关键词 ：
教学基本功比赛 教学基本功比赛 教学效果 教学效果 教学能力 教学能力 课堂教学 课堂教学
引用：
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| GB/T 7714 | 赵旭 , 邰枫 , 程维虎 et al. 以教学基本功比赛促课堂教学能力提高的研究与实践 [J]. | 教育教学论坛 , 2020 , (02) : 19-21 . |
| MLA | 赵旭 et al. "以教学基本功比赛促课堂教学能力提高的研究与实践" . | 教育教学论坛 02 (2020) : 19-21 . |
| APA | 赵旭 , 邰枫 , 程维虎 , 姬庆庆 . 以教学基本功比赛促课堂教学能力提高的研究与实践 . | 教育教学论坛 , 2020 , (02) , 19-21 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
This paper evaluates the performance of theF(W)-test for testing part ofp-regression coefficients in linear panel data model whenpis divergent. The asymptotic power of theF(W)-statistic is obtained under some regular conditions. The theoretical development are challenging since the number of covariates increases as the sample size increases. It is worth noting that the inference approach does not require any specification of the error distribution. Some simulation comparisons are conducted and show that the simulated power coincide with theoretical power well. The method is also illustrated using a renal cancer data example.
关键词 ：
F-W-statistic F-W-statistic Panel data Panel data regression coefficient regression coefficient
引用：
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| GB/T 7714 | Zhao, Jing , Wu, Mi-xia , Cheng, Wei-hu et al. Tests forp-regression Coefficients in Linear Panel Model Whenpis Divergent [J]. | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES , 2020 , 36 (3) : 566-580 . |
| MLA | Zhao, Jing et al. "Tests forp-regression Coefficients in Linear Panel Model Whenpis Divergent" . | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 36 . 3 (2020) : 566-580 . |
| APA | Zhao, Jing , Wu, Mi-xia , Cheng, Wei-hu , Rong, Yao-hua , Hu, Yu-ping . Tests forp-regression Coefficients in Linear Panel Model Whenpis Divergent . | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES , 2020 , 36 (3) , 566-580 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
本文研究了协变量随机缺失下部分线性模型的模型选择和模型平均问题.首先利用逆概率加权方法得出了线性回归系数和非参数函数的估计,并在局部误设定框架下证明了线性回归系数估计量的渐近正态性.然后构造了兴趣参数的兴趣信息准则和频数模型平均估计量,并根据该模型平均估计量构造了一个覆盖真实参数的概率趋于预定水平的置信区间.模拟研究和实例分析分别说明了本方法的优越性和实用性.
关键词 ：
模型选择 模型选择 模型平均 模型平均 部分线性模型 部分线性模型 协变量缺失 协变量缺失
引用：
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| GB/T 7714 | 胡国治 , 程维虎 , 曾婕 . 协变量缺失下部分线性模型的模型选择和模型平均 [J]. | 应用数学学报 , 2020 , 43 (3) : 535-554 . |
| MLA | 胡国治 et al. "协变量缺失下部分线性模型的模型选择和模型平均" . | 应用数学学报 43 . 3 (2020) : 535-554 . |
| APA | 胡国治 , 程维虎 , 曾婕 . 协变量缺失下部分线性模型的模型选择和模型平均 . | 应用数学学报 , 2020 , 43 (3) , 535-554 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Modeling excesses over a high threshold and estimating extreme tail risk are two utmost studies in the extreme value literature. Traditional techniques are limited on handling these two challenges. To better analyze this type of data, we propose a novel approach which utilizes the generalized Pareto distribution (GPD) in the peaks-over-threshold (POT) framework. Under the proposed approach, by using partial L-moments (PL-moments), computational efficient estimators are derived for the parameters in the GPD. Additionally, we propose method to estimate the tail expectiles and apply a recently developed stopping rule to find the optimal threshold. Various simulation researches show that the proposed approach outperforms the traditional techniques in some aspects. Last, we apply the proposed method to the Shanghai Stock Exchange data for comprehensively illustrating the details and providing guidance for future applications.
关键词 ：
expectiles expectiles extreme values extreme values peaksover-threshold peaksover-threshold Threshold Threshold value at risk (VaR) value at risk (VaR)
引用：
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| GB/T 7714 | Zhao, Xu , Cheng, Weihu , Zhang, Pengyue . Extreme tail risk estimation with the generalized Pareto distribution under the peaks-over-threshold framework [J]. | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2020 , 49 (4) : 827-844 . |
| MLA | Zhao, Xu et al. "Extreme tail risk estimation with the generalized Pareto distribution under the peaks-over-threshold framework" . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 49 . 4 (2020) : 827-844 . |
| APA | Zhao, Xu , Cheng, Weihu , Zhang, Pengyue . Extreme tail risk estimation with the generalized Pareto distribution under the peaks-over-threshold framework . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2020 , 49 (4) , 827-844 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
We investigate point estimation and confidence interval estimation for the heavy-tailed generalized Pareto distribution (GPD) based on the upper record values. When the shape parameter is known, the bias-corrected moments estimators and maximum likelihood estimators (MLE) for the location and scale parameters are derived. However, in practice, the shape parameter is typically unknown. We propose the MLE by a new methodological approach for all three parameters of the heavy-tailed GPD when the shape parameter is unknown. Confidence intervals for the location and scale parameters are constructed by the equal probability density principle. If the shape parameter is known, we can find known distributions of the pivots of the location and scale parameters, but not approximate. While if the shape parameter is unknown, the distributions of the pivots are closed linked to an estimation of the shape parameter. The advantage of our method is that the proposed interval estimation provides the smallest confidence interval, regardless of whether the distribution of the pivot is symmetric. Extensive simulations are used to demonstrate the performance of the point estimation and confidence intervals estimation and show that our method outperforms the traditional technique in most cases.
关键词 ：
Confidence interval Confidence interval Generalized Pareto distribution (GPD) Generalized Pareto distribution (GPD) Upper record values Upper record values Point estimation Point estimation Equal probability density principle Equal probability density principle
引用：
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| GB/T 7714 | Zhao, Xu , Wei, Shaojie , Cheng, Weihu et al. Upper record values from the generalized Pareto distribution and associated statistical inference [J]. | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION , 2020 , 52 (2) : 369-391 . |
| MLA | Zhao, Xu et al. "Upper record values from the generalized Pareto distribution and associated statistical inference" . | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION 52 . 2 (2020) : 369-391 . |
| APA | Zhao, Xu , Wei, Shaojie , Cheng, Weihu , Zhang, Pengyue , Zhang, Yang , Xu, Qi . Upper record values from the generalized Pareto distribution and associated statistical inference . | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION , 2020 , 52 (2) , 369-391 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
This paper is concerned with model averaging procedure for varying-coefficient partially linear models. We proposed a jackknife model averaging method that involves minimizing a leave-one-out cross-validation criterion, and developed a computational shortcut to optimize the cross-validation criterion for weight choice. The resulting model average estimator is shown to be asymptotically optimal in terms of achieving the smallest possible squared error. The simulation studies have provided evidence of the superiority of the proposed procedures. Our approach is further applied to a real data.
关键词 ：
Asymptotically optimal Asymptotically optimal cross-validation cross-validation model averaging model averaging varying-coefficient partially linear model varying-coefficient partially linear model
引用：
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| GB/T 7714 | Hu, Guozhi , Cheng, Weihu , Zeng, Jie . Model averaging by jackknife criterion for varying-coefficient partially linear models [J]. | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2020 , 49 (11) : 2671-2689 . |
| MLA | Hu, Guozhi et al. "Model averaging by jackknife criterion for varying-coefficient partially linear models" . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 49 . 11 (2020) : 2671-2689 . |
| APA | Hu, Guozhi , Cheng, Weihu , Zeng, Jie . Model averaging by jackknife criterion for varying-coefficient partially linear models . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2020 , 49 (11) , 2671-2689 . |
| 导入链接 | NoteExpress RIS BibTex |
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