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Maximum Projection Gini Correlation (MaGiC) for mixed categorical and numerical data 混合分类和数值数据的最大投影基尼相关（MaGiC）
IF 0.8 4区 数学
Journal of Statistical Planning and Inference Pub Date : 2025-04-24 DOI: 10.1016/j.jspi.2025.106294
Hong Xiao , Radhakrishna Adhikari , Yixin Chen , Xin Dang
{"title":"Maximum Projection Gini Correlation (MaGiC) for mixed categorical and numerical data","authors":"Hong Xiao ,&nbsp;Radhakrishna Adhikari ,&nbsp;Yixin Chen ,&nbsp;Xin Dang","doi":"10.1016/j.jspi.2025.106294","DOIUrl":"10.1016/j.jspi.2025.106294","url":null,"abstract":"<div><div>We propose a projection correlation for measure of dependence between numerical multivariate variables and categorical variables. The projection correlation, defined as the maximum of the Gini correlations (i.e., MaGiC) between the categorical variable and the univariate projections of the multivariate vector, is non-parametric, and intuitively produces a high coefficient when the two variables are dependent, and zero when they are independent. We show that MaGiC possesses the property of nestedness, in that it is non-decreasing with the increasing number of features in the numerical vector, while remaining unchanged if additional numerical features are independent of the categorical variable and original features. We establish <span><math><msqrt><mrow><mi>n</mi></mrow></msqrt></math></span>-consistency of the sample projection correlation. A powerful <span><math><mi>K</mi></math></span>-sample test can be carried out via the MaGiC-based independence test. When compared with related correlation definitions for multivariate variables, MaGiC also enjoys a faster implementation, with the computational complexity <span><math><mrow><mi>O</mi><mrow><mo>(</mo><mi>m</mi><mi>n</mi><mrow><mo>(</mo><mi>d</mi><mo>+</mo><mo>log</mo><mi>n</mi><mo>)</mo></mrow><mo>)</mo></mrow></mrow></math></span> where <span><math><mi>d</mi></math></span> is the dimension of the numerical variable, <span><math><mi>n</mi></math></span> is the sample size, and <span><math><mi>m</mi></math></span> is the number of projections performed, as opposed to <span><math><mrow><mi>O</mi><mrow><mo>(</mo><mi>d</mi><mspace></mspace><msup><mrow><mi>n</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span> for Gini correlation. We demonstrate these properties through simulation and application to real datasets.</div></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"239 ","pages":"Article 106294"},"PeriodicalIF":0.8,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
M-procedures robust to structural changes detection under strong mixing heavy-tailed time series models 在强混合重尾时间序列模型下，m程序对结构变化检测具有鲁棒性
IF 0.8 4区 数学
Journal of Statistical Planning and Inference Pub Date : 2025-04-24 DOI: 10.1016/j.jspi.2025.106295
Hao Jin , Jiating Hu , Ling Zhu , Shiyu Tian , Si Zhang
{"title":"M-procedures robust to structural changes detection under strong mixing heavy-tailed time series models","authors":"Hao Jin ,&nbsp;Jiating Hu ,&nbsp;Ling Zhu ,&nbsp;Shiyu Tian ,&nbsp;Si Zhang","doi":"10.1016/j.jspi.2025.106295","DOIUrl":"10.1016/j.jspi.2025.106295","url":null,"abstract":"<div><div>Many tests of change points resort to least squares estimation method, but it can lead to bias if these observations are heavy-tailed processes. The aim of this paper is to construct a ratio-typed test based on M-estimation, which avoids the long-range variance estimation and is robust to structural change detection under strong mixing series with heavy-tailed. The proposed test consisting of M-procedures has more utility in that it allows processes in the domain of attraction of a stable law with index <span><math><mrow><mi>κ</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>)</mo></mrow></mrow></math></span>, not limited to <span><math><mrow><mo>(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></mrow></math></span>. Under some regular conditions, asymptotic distribution under the null hypothesis of no change is functional of a Brownian motion, and the divergent rate under the alternative hypothesis is also provided. Furthermore, the convergence rate of a ratio-typed change point estimator is established. Simulation study illustrates there is no distortion in empirical sizes, and empirical powers have satisfactory performance. Finally, two practical applications to real examples are presented as well.</div></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"239 ","pages":"Article 106295"},"PeriodicalIF":0.8,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143891417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Pursuing sparsity and homogeneity for multi-source high-dimensional current status data 追求多源高维现状数据的稀疏性和同质性
IF 0.8 4区 数学
Journal of Statistical Planning and Inference Pub Date : 2025-04-23 DOI: 10.1016/j.jspi.2025.106293
Xin Ye , Yanyan Liu
{"title":"Pursuing sparsity and homogeneity for multi-source high-dimensional current status data","authors":"Xin Ye ,&nbsp;Yanyan Liu","doi":"10.1016/j.jspi.2025.106293","DOIUrl":"10.1016/j.jspi.2025.106293","url":null,"abstract":"<div><div>Nowadays, current status data with high-dimensional predictors are prevalent in observational studies. However, for a single study, the high dimensionality and the presence of censoring pose substantial challenges to statistical analysis with limited sample size. Although integrative analysis has been widely regarded as an effective strategy to improve the estimation, the source-level heterogeneity has to be carefully addressed. In this paper, we propose an integrative analysis method for multi-source high-dimensional current status data, which can simultaneously identify the homogeneity/heterogeneity structure and select important variables. We prove that the proposed approach attains consistency in estimation, sparsity recovery, and the pursuit of homogeneity. Extensive simulation studies have been carried out to assess the finite sample performance of the proposed method. A real data analysis of multi-source ovarian cancer recurrence studies further demonstrates its practical applicability.</div></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"239 ","pages":"Article 106293"},"PeriodicalIF":0.8,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143891416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Neighborhood VAR: Efficient estimation of multivariate timeseries with neighborhood information 邻域VAR：具有邻域信息的多元时间序列的有效估计
IF 0.8 4区 数学
Journal of Statistical Planning and Inference Pub Date : 2025-03-31 DOI: 10.1016/j.jspi.2025.106277
Zhihao Hu , Shyam Ranganathan , Yang Shao , Xinwei Deng
{"title":"Neighborhood VAR: Efficient estimation of multivariate timeseries with neighborhood information","authors":"Zhihao Hu ,&nbsp;Shyam Ranganathan ,&nbsp;Yang Shao ,&nbsp;Xinwei Deng","doi":"10.1016/j.jspi.2025.106277","DOIUrl":"10.1016/j.jspi.2025.106277","url":null,"abstract":"<div><div>Vector autoregression (VAR) models are popular in modeling multivariate time series in data sciences and other areas. When the number of time series is large, the number of parameters in the VAR model increases dramatically, posing great challenges for proper model estimation and inference. In this work, we propose a so-called neighborhood vector autoregression (NVAR) model to efficiently analyze large-dimensional multivariate time series. We assume that the time series have underlying neighborhood relationships, e.g., spatial or network, among them based on the inherent setting of the problem. When this neighborhood information is available or can be summarized using a distance matrix, we demonstrate that our proposed NVAR method provides a computationally efficient and theoretically sound estimation of model parameters. The performance of the proposed method is compared with other existing approaches in both simulation studies and a real-data application in environmental science.</div></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"239 ","pages":"Article 106277"},"PeriodicalIF":0.8,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143768174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inference on linear quantile regression with dyadic data 二元数据下线性分位数回归的推理
IF 0.8 4区 数学
Journal of Statistical Planning and Inference Pub Date : 2025-03-26 DOI: 10.1016/j.jspi.2025.106292
Hongqi Chen
{"title":"Inference on linear quantile regression with dyadic data","authors":"Hongqi Chen","doi":"10.1016/j.jspi.2025.106292","DOIUrl":"10.1016/j.jspi.2025.106292","url":null,"abstract":"<div><div>This paper focuses on developing a robust inference procedure for the linear quantile regression estimator in the context of dyadic data structures. We investigate the asymptotic distribution of the quantile regression estimator under dependency structures arising from shared nodes in both undirected and directed networks. We establish consistency results for the covariance matrix estimator and provide asymptotic distributions for the associated <span><math><mi>t</mi></math></span>-statistic and Wald statistic, particularly in both univariate and joint hypothesis testing scenarios. To showcase the effectiveness of our proposed method, we present numerical simulations and an empirical application using international trade data. Our results demonstrate the excellent performance of the robust <span><math><mi>t</mi></math></span>-statistic and Wald statistic in quantile regression inference with dyadic data.</div></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"239 ","pages":"Article 106292"},"PeriodicalIF":0.8,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143734819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Analysis of the rate of convergence of an over-parametrized convolutional neural network image classifier learned by gradient descent 梯度下降法学习的超参数化卷积神经网络图像分类器的收敛速度分析
IF 0.8 4区 数学
Journal of Statistical Planning and Inference Pub Date : 2025-03-19 DOI: 10.1016/j.jspi.2025.106291
Michael Kohler , Adam Krzyżak , Benjamin Walter
{"title":"Analysis of the rate of convergence of an over-parametrized convolutional neural network image classifier learned by gradient descent","authors":"Michael Kohler ,&nbsp;Adam Krzyżak ,&nbsp;Benjamin Walter","doi":"10.1016/j.jspi.2025.106291","DOIUrl":"10.1016/j.jspi.2025.106291","url":null,"abstract":"<div><div>Image classification based on over-parametrized convolutional neural networks with a global average-pooling layer is considered. The weights of the network are learned by gradient descent. A bound on the rate of convergence of the difference between the misclassification risk of the newly introduced convolutional neural network estimate and the minimal possible value is derived.</div></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"239 ","pages":"Article 106291"},"PeriodicalIF":0.8,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143715034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On misspecification in cusp-type change-point models 关于尖端型变点模型的错误描述
IF 0.8 4区 数学
Journal of Statistical Planning and Inference Pub Date : 2025-03-13 DOI: 10.1016/j.jspi.2025.106290
O.V. Chernoyarov , S. Dachian , Yu.A. Kutoyants
{"title":"On misspecification in cusp-type change-point models","authors":"O.V. Chernoyarov ,&nbsp;S. Dachian ,&nbsp;Yu.A. Kutoyants","doi":"10.1016/j.jspi.2025.106290","DOIUrl":"10.1016/j.jspi.2025.106290","url":null,"abstract":"<div><div>The problem of parameter estimation by i.i.d. observations of an inhomogeneous Poisson process is considered in situation of misspecification. The model is that of a Poissonian signal observed in presence of a homogeneous Poissonian noise. The intensity function of the process is supposed to have a cusp-type singularity at the change-point (the unknown moment of arrival of the signal), while the supposed (theoretical) and the real (observed) levels of the signal are different. The asymptotic properties of the (pseudo) MLE are described. It is shown that the estimator converges to the value minimizing the Kullback–Leibler divergence, that the normalized error of estimation converges to some limit distribution, and that its polynomial moments also converge.</div></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"239 ","pages":"Article 106290"},"PeriodicalIF":0.8,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143637425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Estimation and testing for varying-coefficient single-index quantile regression models 变系数单指标分位数回归模型的估计与检验
IF 0.8 4区 数学
Journal of Statistical Planning and Inference Pub Date : 2025-03-11 DOI: 10.1016/j.jspi.2025.106289
Hui Ding , Mei Yao , Riquan Zhang , Zhenglong Zhang , Hanbing Zhu
{"title":"Estimation and testing for varying-coefficient single-index quantile regression models","authors":"Hui Ding ,&nbsp;Mei Yao ,&nbsp;Riquan Zhang ,&nbsp;Zhenglong Zhang ,&nbsp;Hanbing Zhu","doi":"10.1016/j.jspi.2025.106289","DOIUrl":"10.1016/j.jspi.2025.106289","url":null,"abstract":"<div><div>In this paper we propose varying-coefficient single-index quantile regression models, which includes most existing quantile regression models. We adopt B-spline basis approximation for the estimation of nonparametric components and use the “delete-one-component” method to construct check loss function. Under some mild conditions, we establish asymptotic theory of the proposed estimators for both the parametric and nonparametric components. Moreover, we propose a rank score based test to examine whether the varying-coefficient functions are constant. The finite sample performance of the proposed estimation method is illustrated by simulation studies and an empirical analysis of two real datasets.</div></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"239 ","pages":"Article 106289"},"PeriodicalIF":0.8,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143629064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Fixed-budget optimal designs for multi-fidelity computer experiments 多保真度计算机实验的固定预算优化设计
IF 0.8 4区 数学
Journal of Statistical Planning and Inference Pub Date : 2025-03-04 DOI: 10.1016/j.jspi.2025.106286
Gecheng Chen, Rui Tuo
{"title":"Fixed-budget optimal designs for multi-fidelity computer experiments","authors":"Gecheng Chen,&nbsp;Rui Tuo","doi":"10.1016/j.jspi.2025.106286","DOIUrl":"10.1016/j.jspi.2025.106286","url":null,"abstract":"<div><div>This work focuses on the design of experiments of multi-fidelity computer experiments. We consider the autoregressive Gaussian process model proposed by Kennedy and O’Hagan (2000) and the optimal nested design that maximizes the prediction accuracy subject to a budget constraint. An approximate solution is identified through the idea of multi-level approximation and recent error bounds of Gaussian process regression. The proposed (approximately) optimal designs admit a simple analytical form. We prove that, to achieve the same prediction accuracy, the proposed optimal multi-fidelity design requires much lower computational cost than any single-fidelity design in the asymptotic sense. Numerical studies confirm this theoretical assertion.</div></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"239 ","pages":"Article 106286"},"PeriodicalIF":0.8,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143579798","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Nonparametric regression with predictors missing at random and the scale depending on auxiliary covariates 随机缺失预测因子和依赖辅助协变量的尺度的非参数回归
IF 0.8 4区 数学
Journal of Statistical Planning and Inference Pub Date : 2025-03-01 DOI: 10.1016/j.jspi.2025.106278
Tian Jiang
{"title":"Nonparametric regression with predictors missing at random and the scale depending on auxiliary covariates","authors":"Tian Jiang","doi":"10.1016/j.jspi.2025.106278","DOIUrl":"10.1016/j.jspi.2025.106278","url":null,"abstract":"<div><div>Nonparametric regression with missing at random (MAR) predictors, univariate regression component of interest, and the scale function depending on both the predictor and auxiliary covariates, is considered. The asymptotic theory suggests that both heteroscedasticity and MAR mechanism affect the sharp constant of the minimax mean integrated squared error (MISE) convergence. We propose a data-driven procedure adaptive to the missing mechanism and unknown smoothness of the estimated regression function. The estimator preserves the optimal convergence rate and can achieve sharp minimaxity when predictors are missing completely at random (MCAR).</div></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"239 ","pages":"Article 106278"},"PeriodicalIF":0.8,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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