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Bayesian joint quantile autoregression 贝叶斯联合分位数自回归
test Pub Date : 2023-11-12 DOI: 10.1007/s11749-023-00895-6
Jorge Castillo-Mateo, Alan E. Gelfand, Jesús Asín, Ana C. Cebrián, Jesús Abaurrea
{"title":"Bayesian joint quantile autoregression","authors":"Jorge Castillo-Mateo, Alan E. Gelfand, Jesús Asín, Ana C. Cebrián, Jesús Abaurrea","doi":"10.1007/s11749-023-00895-6","DOIUrl":"https://doi.org/10.1007/s11749-023-00895-6","url":null,"abstract":"Abstract Quantile regression continues to increase in usage, providing a useful alternative to customary mean regression. Primary implementation takes the form of so-called multiple quantile regression, creating a separate regression for each quantile of interest. However, recently, advances have been made in joint quantile regression, supplying a quantile function which avoids crossing of the regression across quantiles. Here, we turn to quantile autoregression (QAR), offering a fully Bayesian version. We extend the initial quantile regression work of Koenker and Xiao (J Am Stat Assoc 101(475):980–990, 2006. https://doi.org/10.1198/016214506000000672 ) in the spirit of Tokdar and Kadane (Bayesian Anal 7(1):51–72, 2012. https://doi.org/10.1214/12-BA702 ). We offer a directly interpretable parametric model specification for QAR. Further, we offer a pth-order QAR(p) version, a multivariate QAR(1) version, and a spatial QAR(1) version. We illustrate with simulation as well as a temperature dataset collected in Aragón, Spain.","PeriodicalId":101465,"journal":{"name":"test","volume":"83 16","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135037501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Comments on: Statistical inference and large-scale multiple testing for high-dimensional regression models 点评:高维回归模型的统计推断和大规模多元检验
test Pub Date : 2023-11-07 DOI: 10.1007/s11749-023-00898-3
Ya’acov Ritov
{"title":"Comments on: Statistical inference and large-scale multiple testing for high-dimensional regression models","authors":"Ya’acov Ritov","doi":"10.1007/s11749-023-00898-3","DOIUrl":"https://doi.org/10.1007/s11749-023-00898-3","url":null,"abstract":"","PeriodicalId":101465,"journal":{"name":"test","volume":"10 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135480445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Model checking for generalized partially linear models 广义部分线性模型的模型检验
test Pub Date : 2023-11-06 DOI: 10.1007/s11749-023-00897-4
Xinmin Li, Haozhe Liang, Wolfgang Härdle, Hua Liang
{"title":"Model checking for generalized partially linear models","authors":"Xinmin Li, Haozhe Liang, Wolfgang Härdle, Hua Liang","doi":"10.1007/s11749-023-00897-4","DOIUrl":"https://doi.org/10.1007/s11749-023-00897-4","url":null,"abstract":"","PeriodicalId":101465,"journal":{"name":"test","volume":"47 S1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135634124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Comments on: Statistical inference and large-scale multiple testing for high-dimensional regression models 点评:高维回归模型的统计推断和大规模多元检验
test Pub Date : 2023-11-03 DOI: 10.1007/s11749-023-00896-5
Gerda Claeskens, Maarten Jansen
{"title":"Comments on: Statistical inference and large-scale multiple testing for high-dimensional regression models","authors":"Gerda Claeskens, Maarten Jansen","doi":"10.1007/s11749-023-00896-5","DOIUrl":"https://doi.org/10.1007/s11749-023-00896-5","url":null,"abstract":"","PeriodicalId":101465,"journal":{"name":"test","volume":"16 1‐12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135868358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bayesian analysis of testing general hypotheses in linear models with spherically symmetric errors 球对称误差线性模型一般假设检验的贝叶斯分析
test Pub Date : 2023-10-30 DOI: 10.1007/s11749-023-00892-9
Min Wang, Keying Ye, Zifei Han
{"title":"Bayesian analysis of testing general hypotheses in linear models with spherically symmetric errors","authors":"Min Wang, Keying Ye, Zifei Han","doi":"10.1007/s11749-023-00892-9","DOIUrl":"https://doi.org/10.1007/s11749-023-00892-9","url":null,"abstract":"","PeriodicalId":101465,"journal":{"name":"test","volume":"174 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136068432","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimation of stability index for symmetric $$alpha $$-stable distribution using quantile conditional variance ratios 使用分位数条件方差比估计对称$$alpha $$ -稳定分布的稳定性指数
test Pub Date : 2023-10-30 DOI: 10.1007/s11749-023-00894-7
Kewin Pączek, Damian Jelito, Marcin Pitera, Agnieszka Wyłomańska
{"title":"Estimation of stability index for symmetric $$alpha $$-stable distribution using quantile conditional variance ratios","authors":"Kewin Pączek, Damian Jelito, Marcin Pitera, Agnieszka Wyłomańska","doi":"10.1007/s11749-023-00894-7","DOIUrl":"https://doi.org/10.1007/s11749-023-00894-7","url":null,"abstract":"Abstract The class of $$alpha $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>α</mml:mi> </mml:math> -stable distributions is widely used in various applications, especially for modeling heavy-tailed data. Although the $$alpha $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>α</mml:mi> </mml:math> -stable distributions have been used in practice for many years, new methods for identification, testing, and estimation are still being refined and new approaches are being proposed. The constant development of new statistical methods is related to the low efficiency of existing algorithms, especially when the underlying sample is small or the distribution is close to Gaussian. In this paper, we propose a new estimation algorithm for the stability index, for samples from the symmetric $$alpha $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>α</mml:mi> </mml:math> -stable distribution. The proposed approach is based on a quantile conditional variance ratio. We study the statistical properties of the proposed estimation procedure and show empirically that our methodology often outperforms other commonly used estimation algorithms. Moreover, we show that our statistic extracts unique sample characteristics that can be combined with other methods to refine existing methodologies via ensemble methods. Although our focus is set on the symmetric $$alpha $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>α</mml:mi> </mml:math> -stable case, we demonstrate that the considered statistic is insensitive to the skewness parameter change, so our method could be also used in a more generic framework. For completeness, we also show how to apply our method to real data linked to financial market and plasma physics.","PeriodicalId":101465,"journal":{"name":"test","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136103877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Unit-Weibull autoregressive moving average models 单位-威布尔自回归移动平均模型
test Pub Date : 2023-10-24 DOI: 10.1007/s11749-023-00893-8
Guilherme Pumi, Taiane Schaedler Prass, Cleiton Guollo Taufemback
{"title":"Unit-Weibull autoregressive moving average models","authors":"Guilherme Pumi, Taiane Schaedler Prass, Cleiton Guollo Taufemback","doi":"10.1007/s11749-023-00893-8","DOIUrl":"https://doi.org/10.1007/s11749-023-00893-8","url":null,"abstract":"","PeriodicalId":101465,"journal":{"name":"test","volume":"4 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135268320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Statistical analysis of measures of non-convexity 非凸性测度的统计分析
test Pub Date : 2023-10-12 DOI: 10.1007/s11749-023-00889-4
Alejandro Cholaquidis, Ricardo Fraiman, Leonardo Moreno, Beatriz Pateiro-López
{"title":"Statistical analysis of measures of non-convexity","authors":"Alejandro Cholaquidis, Ricardo Fraiman, Leonardo Moreno, Beatriz Pateiro-López","doi":"10.1007/s11749-023-00889-4","DOIUrl":"https://doi.org/10.1007/s11749-023-00889-4","url":null,"abstract":"","PeriodicalId":101465,"journal":{"name":"test","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136013071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Conditional tail moment and reinsurance premium estimation under random right censoring 随机右删减下的条件尾矩与再保险保费估计
test Pub Date : 2023-10-09 DOI: 10.1007/s11749-023-00890-x
Yuri Goegebeur, Armelle Guillou, Jing Qin
{"title":"Conditional tail moment and reinsurance premium estimation under random right censoring","authors":"Yuri Goegebeur, Armelle Guillou, Jing Qin","doi":"10.1007/s11749-023-00890-x","DOIUrl":"https://doi.org/10.1007/s11749-023-00890-x","url":null,"abstract":"Abstract We propose an estimator of the conditional tail moment (CTM) when the data are subject to random censorship. The variable of main interest and the censoring variable both follow a Pareto-type distribution. We establish the asymptotic properties of our estimator and discuss bias-reduction. Then, the CTM is used to estimate, in case of censorship, the premium principle for excess-of-loss reinsurance. The finite sample properties of the proposed estimators are investigated with a simulation study and we illustrate their practical applicability on a dataset of motor third party liability insurance.","PeriodicalId":101465,"journal":{"name":"test","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135043905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Testing Poissonity of a large number of populations 测试大量种群的毒力
test Pub Date : 2023-09-29 DOI: 10.1007/s11749-023-00883-w
M. D. Jiménez-Gamero, J. de Uña-Álvarez
{"title":"Testing Poissonity of a large number of populations","authors":"M. D. Jiménez-Gamero, J. de Uña-Álvarez","doi":"10.1007/s11749-023-00883-w","DOIUrl":"https://doi.org/10.1007/s11749-023-00883-w","url":null,"abstract":"Abstract This paper studies the problem of simultaneously testing that each of k samples, coming from k count variables, were all generated by Poisson laws. The means of those populations may differ. The proposed procedure is designed for large k , which can be bigger than the sample sizes. First, a test is proposed for the case of independent samples, and then the obtained results are extended to dependent data. In each case, the asymptotic distribution of the test statistic is stated under the null hypothesis as well as under alternatives, which allows to study the consistency of the test. Specifically, it is shown that the test statistic is asymptotically free distributed under the null hypothesis. The finite sample performance of the test is studied via simulation. A real data set application is included.","PeriodicalId":101465,"journal":{"name":"test","volume":"38 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":"135199299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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