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FDR control and power analysis for high-dimensional logistic regression via StabKoff 基于StabKoff的高维逻辑回归的FDR控制和功率分析
3区 数学
Statistical Papers Pub Date : 2023-10-18 DOI: 10.1007/s00362-023-01501-5
Panxu Yuan, Yinfei Kong, Gaorong Li
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引用次数: 1
A weighted average limited information maximum likelihood estimator 加权平均有限信息极大似然估计
3区 数学
Statistical Papers Pub Date : 2023-10-07 DOI: 10.1007/s00362-023-01485-2
Muhammad Qasim
{"title":"A weighted average limited information maximum likelihood estimator","authors":"Muhammad Qasim","doi":"10.1007/s00362-023-01485-2","DOIUrl":"https://doi.org/10.1007/s00362-023-01485-2","url":null,"abstract":"Abstract In this article, a Stein-type weighted limited information maximum likelihood (LIML) estimator is proposed. It is based on a weighted average of the ordinary least squares (OLS) and LIML estimators, with weights inversely proportional to the Hausman test statistic. The asymptotic distribution of the proposed estimator is derived by means of local-to-exogenous asymptotic theory. In addition, the asymptotic risk of the Stein-type LIML estimator is calculated, and it is shown that the risk is strictly smaller than the risk of the LIML under certain conditions. A Monte Carlo simulation and an empirical application of a green patent dataset from Nordic countries are used to demonstrate the superiority of the Stein-type LIML estimator to the OLS, two-stage least squares, LIML and combined estimators when the number of instruments is large.","PeriodicalId":51166,"journal":{"name":"Statistical Papers","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135254336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Space-filling designs with a Dirichlet distribution for mixture experiments 混合试验中Dirichlet分布的空间填充设计
3区 数学
Statistical Papers Pub Date : 2023-10-07 DOI: 10.1007/s00362-023-01493-2
Astrid Jourdan
{"title":"Space-filling designs with a Dirichlet distribution for mixture experiments","authors":"Astrid Jourdan","doi":"10.1007/s00362-023-01493-2","DOIUrl":"https://doi.org/10.1007/s00362-023-01493-2","url":null,"abstract":"Uniform designs are widely used for experiments with mixtures. The uniformity of the design points is usually evaluated with a discrepancy criterion. In this paper, we propose a new criterion to measure the deviation between the design point distribution and a Dirichlet distribution. The support of the Dirichlet distribution, is defined by the set of d-dimensional vectors whose entries are real numbers in the interval [0,1] such that the sum of the coordinates is equal to 1. This support is suitable for mixture experiments. Depending on its parameters, the Dirichlet distribution allows symmetric or asymmetric, uniform or more concentrated point distribution. The difference between the empirical and the target distributions is evaluated with the Kullback–Leibler divergence. We use two methods to estimate the divergence: the plug-in estimate and the nearest-neighbor estimate. The resulting two criteria are used to build space-filling designs for mixture experiments. In the particular case of the flat Dirichlet distribution, both criteria lead to uniform designs. They are compared to existing uniformity criteria. The advantage of the new criteria is that they allow other distributions than uniformity and they are fast to compute.","PeriodicalId":51166,"journal":{"name":"Statistical Papers","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135252055","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the test of covariance between two high-dimensional random vectors 关于两个高维随机向量间协方差的检验
3区 数学
Statistical Papers Pub Date : 2023-10-07 DOI: 10.1007/s00362-023-01500-6
Yongshuai Chen, Wenwen Guo, Hengjian Cui
{"title":"On the test of covariance between two high-dimensional random vectors","authors":"Yongshuai Chen, Wenwen Guo, Hengjian Cui","doi":"10.1007/s00362-023-01500-6","DOIUrl":"https://doi.org/10.1007/s00362-023-01500-6","url":null,"abstract":"","PeriodicalId":51166,"journal":{"name":"Statistical Papers","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135254337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Professor Heinz Neudecker and matrix differential calculus Heinz Neudecker教授和矩阵微分学
3区 数学
Statistical Papers Pub Date : 2023-10-03 DOI: 10.1007/s00362-023-01499-w
Shuangzhe Liu, Götz Trenkler, Tõnu Kollo, Dietrich von Rosen, Oskar Maria Baksalary
{"title":"Professor Heinz Neudecker and matrix differential calculus","authors":"Shuangzhe Liu, Götz Trenkler, Tõnu Kollo, Dietrich von Rosen, Oskar Maria Baksalary","doi":"10.1007/s00362-023-01499-w","DOIUrl":"https://doi.org/10.1007/s00362-023-01499-w","url":null,"abstract":"","PeriodicalId":51166,"journal":{"name":"Statistical Papers","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135696549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Maximum Likelihood With a Time Varying Parameter 具有时变参数的最大似然
3区 数学
Statistical Papers Pub Date : 2023-09-29 DOI: 10.1007/s00362-023-01497-y
Alberto Lanconelli, Christopher S. A. Lauria
{"title":"Maximum Likelihood With a Time Varying Parameter","authors":"Alberto Lanconelli, Christopher S. A. Lauria","doi":"10.1007/s00362-023-01497-y","DOIUrl":"https://doi.org/10.1007/s00362-023-01497-y","url":null,"abstract":"Abstract We consider the problem of tracking an unknown time varying parameter that characterizes the probabilistic evolution of a sequence of independent observations. To this aim, we propose a stochastic gradient descent-based recursive scheme in which the log-likelihood of the observations acts as time varying gain function. We prove convergence in mean-square error in a suitable neighbourhood of the unknown time varying parameter and illustrate the details of our findings in the case where data are generated from distributions belonging to the exponential family.","PeriodicalId":51166,"journal":{"name":"Statistical Papers","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135244210","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ROBOUT: a conditional outlier detection methodology for high-dimensional data ROBOUT:一种高维数据的条件离群值检测方法
3区 数学
Statistical Papers Pub Date : 2023-09-29 DOI: 10.1007/s00362-023-01492-3
Matteo Farnè, Angelos Vouldis
{"title":"ROBOUT: a conditional outlier detection methodology for high-dimensional data","authors":"Matteo Farnè, Angelos Vouldis","doi":"10.1007/s00362-023-01492-3","DOIUrl":"https://doi.org/10.1007/s00362-023-01492-3","url":null,"abstract":"Abstract This paper presents a methodology, called ROBOUT, to identify outliers conditional on a high-dimensional noisy information set. In particular, ROBOUT is able to identify observations with outlying conditional mean or variance when the dataset contains multivariate outliers in or besides the predictors, multi-collinearity, and a large variable dimension compared to the sample size. ROBOUT entails a pre-processing step, a preliminary robust imputation procedure that prevents anomalous instances from corrupting predictor recovery, a selection stage of the statistically relevant predictors (through cross-validated LASSO-penalized Huber loss regression), the estimation of a robust regression model based on the selected predictors (via MM regression), and a criterion to identify conditional outliers. We conduct a comprehensive simulation study in which the proposed algorithm is tested under a wide range of perturbation scenarios. The combination formed by LASSO-penalized Huber loss and MM regression turns out to be the best in terms of conditional outlier detection under the above described perturbed conditions, also compared to existing integrated methodologies like Sparse Least Trimmed Squares and Robust Least Angle Regression. Furthermore, the proposed methodology is applied to a granular supervisory banking dataset collected by the European Central Bank, in order to model the total assets of euro area banks.","PeriodicalId":51166,"journal":{"name":"Statistical Papers","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135199371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantile regression for varying-coefficient partially nonlinear models with randomly truncated data 随机截断数据的变系数部分非线性模型的分位数回归
3区 数学
Statistical Papers Pub Date : 2023-09-29 DOI: 10.1007/s00362-023-01498-x
Hong-Xia Xu, Guo-Liang Fan, Han-Ying Liang
{"title":"Quantile regression for varying-coefficient partially nonlinear models with randomly truncated data","authors":"Hong-Xia Xu, Guo-Liang Fan, Han-Ying Liang","doi":"10.1007/s00362-023-01498-x","DOIUrl":"https://doi.org/10.1007/s00362-023-01498-x","url":null,"abstract":"","PeriodicalId":51166,"journal":{"name":"Statistical Papers","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135199370","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Variable selection in proportional odds model with informatively interval-censored data 具有信息间隔截尾数据的比例赔率模型中的变量选择
3区 数学
Statistical Papers Pub Date : 2023-09-29 DOI: 10.1007/s00362-023-01486-1
Bo Zhao, Shuying Wang, Chunjie Wang
{"title":"Variable selection in proportional odds model with informatively interval-censored data","authors":"Bo Zhao, Shuying Wang, Chunjie Wang","doi":"10.1007/s00362-023-01486-1","DOIUrl":"https://doi.org/10.1007/s00362-023-01486-1","url":null,"abstract":"","PeriodicalId":51166,"journal":{"name":"Statistical Papers","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135199726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On strongly dependent zero-inflated INAR(1) processes 关于强相关零膨胀的INAR(1)过程
3区 数学
Statistical Papers Pub Date : 2023-09-29 DOI: 10.1007/s00362-023-01496-z
Jan Beran, Frieder Droullier
{"title":"On strongly dependent zero-inflated INAR(1) processes","authors":"Jan Beran, Frieder Droullier","doi":"10.1007/s00362-023-01496-z","DOIUrl":"https://doi.org/10.1007/s00362-023-01496-z","url":null,"abstract":"Abstract We consider INAR(1) processes modulated by an unobserved strongly dependent $$0-1$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> process. The observed process exhibits zero inflation and long memory. A simple method is proposed for estimating the INAR-parameters without modelling the unobserved modulating process. Asymptotic results for the estimators are derived, and a zero-inflation test is introduced. Asymptotic rejection regions and asymptotic power under long-memory alternatives are derived. A small simulation study illustrates the asymptotic results.","PeriodicalId":51166,"journal":{"name":"Statistical Papers","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135199861","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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