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A score-based threshold effect test in time series models 时间序列模型中基于分数的阈值效应检验
IF 1.5 3区 数学
Computational Statistics & Data Analysis Pub Date : 2025-06-25 DOI: 10.1016/j.csda.2025.108236
Shufang Wei , Yaping Deng , Yaxing Yang
{"title":"A score-based threshold effect test in time series models","authors":"Shufang Wei ,&nbsp;Yaping Deng ,&nbsp;Yaxing Yang","doi":"10.1016/j.csda.2025.108236","DOIUrl":"10.1016/j.csda.2025.108236","url":null,"abstract":"<div><div>A score-based test statistic is developed to compare a linear ARMA model with its threshold extension. In particular, the focus is on testing the threshold effect in continuous threshold models with no jump at the threshold. Notably, while developed for continuous threshold models, the proposed test remains effective for discontinuous cases. The proposed test does not require fitting the model under the alternative hypothesis, making it computationally more efficient than the quasi-likelihood ratio test. The asymptotic distributions of the score-based test statistic are derived under both the null hypothesis and local alternatives. Simulations indicate that the proposed test has better size than the quasi-likelihood ratio test and demonstrates stronger power compared to the Lagrange Multiplier test. The asymptotic theory of the least square estimation for the continuous threshold ARMA model is further established. An application to the quarterly U.S. civilian unemployment rates data is given.</div></div>","PeriodicalId":55225,"journal":{"name":"Computational Statistics & Data Analysis","volume":"212 ","pages":"Article 108236"},"PeriodicalIF":1.5,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144491125","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
Bayesian selection approach for categorical responses via multinomial probit models 基于多项概率模型的分类响应贝叶斯选择方法
IF 1.5 3区 数学
Computational Statistics & Data Analysis Pub Date : 2025-06-20 DOI: 10.1016/j.csda.2025.108233
Chi-Hsiang Chu , Kuo-Jung Lee , Chien-Chin Hsu , Ray-Bing Chen
{"title":"Bayesian selection approach for categorical responses via multinomial probit models","authors":"Chi-Hsiang Chu ,&nbsp;Kuo-Jung Lee ,&nbsp;Chien-Chin Hsu ,&nbsp;Ray-Bing Chen","doi":"10.1016/j.csda.2025.108233","DOIUrl":"10.1016/j.csda.2025.108233","url":null,"abstract":"<div><div>A multinomial probit model is proposed to examine a categorical response variable, with the main objective being the identification of the influential variables in the model. To this end, a Bayesian selection technique using two hierarchical indicators is employed. The first indicator denotes a variable's relevance to the categorical response, and the subsequent indicator relates to the variable's importance at a specific categorical level, which aids in assessing its impact at that level. The selection process relies on the posterior indicator samples generated through an MCMC algorithm. The efficacy of our Bayesian selection strategy is demonstrated through both simulation and an application to a real-world example.</div></div>","PeriodicalId":55225,"journal":{"name":"Computational Statistics & Data Analysis","volume":"212 ","pages":"Article 108233"},"PeriodicalIF":1.5,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144338393","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
Model-based clustering for covariance matrices via penalized Wishart mixture models 基于模型的基于惩罚Wishart混合模型的协方差矩阵聚类
IF 1.5 3区 数学
Computational Statistics & Data Analysis Pub Date : 2025-06-20 DOI: 10.1016/j.csda.2025.108232
Andrea Cappozzo , Alessandro Casa
{"title":"Model-based clustering for covariance matrices via penalized Wishart mixture models","authors":"Andrea Cappozzo ,&nbsp;Alessandro Casa","doi":"10.1016/j.csda.2025.108232","DOIUrl":"10.1016/j.csda.2025.108232","url":null,"abstract":"<div><div>Covariance matrices provide a valuable source of information about complex interactions and dependencies within the data. However, from a clustering perspective, this information has often been underutilized and overlooked. Indeed, commonly adopted distance-based approaches tend to rely primarily on mean levels to characterize and differentiate between groups. Recently, there have been promising efforts to cluster covariance matrices directly, thereby distinguishing groups solely based on the relationships between variables. From a model-based perspective, a probabilistic formalization has been provided by considering a mixture model with component densities following a Wishart distribution. Notwithstanding, this approach faces challenges when dealing with a large number of variables, as the number of parameters to be estimated increases quadratically. To address this issue, a sparse Wishart mixture model is proposed, which assumes that the component scale matrices possess a cluster-dependent degree of sparsity. Model estimation is performed by maximizing a penalized log-likelihood, enforcing a covariance graphical lasso penalty on the component scale matrices. This penalty not only reduces the number of non-zero parameters, mitigating the challenges of high-dimensional settings, but also enhances the interpretability of results by emphasizing the most relevant relationships among variables. The proposed methodology is tested on both simulated and real data, demonstrating its ability to unravel the complexities of neuroimaging data and effectively cluster subjects based on the relational patterns among distinct brain regions.</div></div>","PeriodicalId":55225,"journal":{"name":"Computational Statistics & Data Analysis","volume":"212 ","pages":"Article 108232"},"PeriodicalIF":1.5,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144338394","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
Joint estimation of precision matrices for long-memory time series 长记忆时间序列精度矩阵的联合估计
IF 1.5 3区 数学
Computational Statistics & Data Analysis Pub Date : 2025-06-19 DOI: 10.1016/j.csda.2025.108234
Qihu Zhang , Jongik Chung , Cheolwoo Park
{"title":"Joint estimation of precision matrices for long-memory time series","authors":"Qihu Zhang ,&nbsp;Jongik Chung ,&nbsp;Cheolwoo Park","doi":"10.1016/j.csda.2025.108234","DOIUrl":"10.1016/j.csda.2025.108234","url":null,"abstract":"<div><div>Methods are proposed for estimating multiple precision matrices for long-memory time series, with particular emphasis on the analysis of resting-state functional magnetic resonance imaging (fMRI) data obtained from multiple subjects. The objective is to estimate both individual brain networks and a common structure representative of a group. Several approaches employing weighted aggregation are introduced to simultaneously estimate individual and group-level precision matrices. Convergence rates of the estimators are examined under various norms and expectations, and their performance is evaluated under both sub-Gaussian and heavy-tailed distributions. The proposed methods are demonstrated through simulated data and real resting-state fMRI datasets.</div></div>","PeriodicalId":55225,"journal":{"name":"Computational Statistics & Data Analysis","volume":"212 ","pages":"Article 108234"},"PeriodicalIF":1.5,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144338392","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
Inference on a stochastic SIR model including growth curves 包含生长曲线的随机SIR模型的推论
IF 1.5 3区 数学
Computational Statistics & Data Analysis Pub Date : 2025-06-16 DOI: 10.1016/j.csda.2025.108231
Giuseppina Albano , Virginia Giorno , Gema Pérez-Romero , Francisco de Asis Torres-Ruiz
{"title":"Inference on a stochastic SIR model including growth curves","authors":"Giuseppina Albano ,&nbsp;Virginia Giorno ,&nbsp;Gema Pérez-Romero ,&nbsp;Francisco de Asis Torres-Ruiz","doi":"10.1016/j.csda.2025.108231","DOIUrl":"10.1016/j.csda.2025.108231","url":null,"abstract":"<div><div>A Susceptible-Infected-Removed stochastic model is presented, in which the stochasticity is introduced through two independent Brownian motions in the dynamics of the Susceptible and Infected populations. To account for the natural evolution of the Susceptible population, a growth function is considered in which size is influenced by the birth and death of individuals. Inference for such a model is addressed by means of a Quasi Maximum Likelihood Estimation (QMLE) method. The resulting nonlinear system can be numerically solved by iterative procedures. A technique to obtain the initial solutions usually required by such methods is also provided. Finally, simulation studies are performed for three well-known growth functions, namely Gompertz, Logistic and Bertalanffy curves. The performance of the initial estimates of the involved parameters is assessed, and the goodness of the proposed methodology is evaluated.</div></div>","PeriodicalId":55225,"journal":{"name":"Computational Statistics & Data Analysis","volume":"212 ","pages":"Article 108231"},"PeriodicalIF":1.5,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144338395","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
Privacy-preserving communication-efficient spectral clustering for distributed multiple networks 分布式多网络的保密性通信高效频谱聚类
IF 1.5 3区 数学
Computational Statistics & Data Analysis Pub Date : 2025-06-09 DOI: 10.1016/j.csda.2025.108230
Shanghao Wu , Xiao Guo , Hai Zhang
{"title":"Privacy-preserving communication-efficient spectral clustering for distributed multiple networks","authors":"Shanghao Wu ,&nbsp;Xiao Guo ,&nbsp;Hai Zhang","doi":"10.1016/j.csda.2025.108230","DOIUrl":"10.1016/j.csda.2025.108230","url":null,"abstract":"<div><div>Multi-layer networks arise naturally in various scientific domains including social sciences, biology, neuroscience, among others. The network layers of a given multi-layer network are commonly stored in a local and distributed fashion because of the privacy, ownership, and communication costs. The literature on community detection based on these data is still limited. This paper proposes a new distributed spectral clustering-based algorithm for consensus community detection of the locally stored multi-layer network. The algorithm is based on the power method. It is communication-efficient by allowing multiple local power iterations before aggregation; and privacy-preserving by incorporating the notion of differential privacy. The convergence rate of the proposed algorithm is studied under the assumption that the multi-layer networks are generated from the multi-layer stochastic block models. Numerical studies show the superior performance of the proposed algorithm over competitive algorithms.</div></div>","PeriodicalId":55225,"journal":{"name":"Computational Statistics & Data Analysis","volume":"212 ","pages":"Article 108230"},"PeriodicalIF":1.5,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144261609","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
Flexible modeling of left-truncated and interval-censored competing risks data with missing event types 具有缺失事件类型的左截尾和区间截尾竞争风险数据的灵活建模
IF 1.5 3区 数学
Computational Statistics & Data Analysis Pub Date : 2025-06-05 DOI: 10.1016/j.csda.2025.108229
Yichen Lou , Yuqing Ma , Liming Xiang , Jianguo Sun
{"title":"Flexible modeling of left-truncated and interval-censored competing risks data with missing event types","authors":"Yichen Lou ,&nbsp;Yuqing Ma ,&nbsp;Liming Xiang ,&nbsp;Jianguo Sun","doi":"10.1016/j.csda.2025.108229","DOIUrl":"10.1016/j.csda.2025.108229","url":null,"abstract":"<div><div>Interval-censored competing risks data arise in many cohort studies in clinical research, where multiple types of events subject to interval censoring are included and the occurrence of the primary event of interest may be censored by the occurrence of other events. The presence of missing event types and left truncation poses challenges to the regression analysis of such data. We propose a new two-stage estimation procedure under a class of semiparametric generalized odds rate transformation models to overcome these challenges. Our method first facilitates the estimation of both the probability of response and the probability of occurrence of each type of event under the missing at random assumption, using either parametric or non-parametric methods. An augmented inverse probability weighting likelihood based on the complete-case likelihood and data from subjects with missing type of event is then maximized for estimating regression parameters. We provide desirable asymptotic properties and construct a concordance index to evaluate the model's discriminative ability. The proposed method is demonstrated through extensive simulations and the analysis of data from the Amsterdam cohort study on HIV infection and AIDS.</div></div>","PeriodicalId":55225,"journal":{"name":"Computational Statistics & Data Analysis","volume":"211 ","pages":"Article 108229"},"PeriodicalIF":1.5,"publicationDate":"2025-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144242893","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
Region detection and image clustering via sparse Kronecker product decomposition 基于稀疏Kronecker积分解的区域检测与图像聚类
IF 1.5 3区 数学
Computational Statistics & Data Analysis Pub Date : 2025-06-03 DOI: 10.1016/j.csda.2025.108226
Guang Yang , Long Feng
{"title":"Region detection and image clustering via sparse Kronecker product decomposition","authors":"Guang Yang ,&nbsp;Long Feng","doi":"10.1016/j.csda.2025.108226","DOIUrl":"10.1016/j.csda.2025.108226","url":null,"abstract":"<div><div>Image clustering is usually conducted by vectorizing image pixels, treating them as independent, and applying classical clustering approaches to the obtained features. However, as image data is often of high-dimensional and contains rich spatial information, such treatment is far from satisfactory. For medical image data, another important characteristic is the region-wise sparseness in signals. That is to say, there are only a few unknown regions in the medical image that differentiate the images associated with different groups of patients, while other regions are uninformative. Accurately detecting these informative regions would not only improve clustering accuracy, more importantly, it would also provide interpretations for the rationale behind them. Motivated by the need to identify significant regions of interest, we propose a general framework named Image Clustering via Sparse Kronecker Product Decomposition (IC-SKPD). This framework aims to simultaneously divide samples into clusters and detect regions that are informative for clustering. Our framework is general in the sense that it provides a unified treatment for matrix and tensor-valued samples. An iterative hard-thresholded singular value decomposition approach is developed to solve this model. Theoretically, the IC-SKPD enjoys guarantees for clustering accuracy and region detection consistency under mild conditions on the minimum signals. Comprehensive simulations along with real data analysis further validate the superior performance of IC-SKPD on clustering and region detection.</div></div>","PeriodicalId":55225,"journal":{"name":"Computational Statistics & Data Analysis","volume":"211 ","pages":"Article 108226"},"PeriodicalIF":1.5,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144242892","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
Distributed iterative hard thresholding for variable selection in Tobit models Tobit模型中变量选择的分布式迭代硬阈值
IF 1.5 3区 数学
Computational Statistics & Data Analysis Pub Date : 2025-06-03 DOI: 10.1016/j.csda.2025.108227
Changxin Yang , Zhongyi Zhu , Hongmei Lin , Zengyan Fan , Heng Lian
{"title":"Distributed iterative hard thresholding for variable selection in Tobit models","authors":"Changxin Yang ,&nbsp;Zhongyi Zhu ,&nbsp;Hongmei Lin ,&nbsp;Zengyan Fan ,&nbsp;Heng Lian","doi":"10.1016/j.csda.2025.108227","DOIUrl":"10.1016/j.csda.2025.108227","url":null,"abstract":"<div><div>While there is a substantial body of research on high-dimensional regression with left-censored responses, few methods address this problem in a distributed manner. Due to data transmission limitations and privacy concerns, centralizing all data is often impractical, necessitating a method for collaborative learning with distributed data. In this paper, we employ the Iterative Hard Thresholding (IHT) method for the Tobit model to address this challenge, allowing one to directly specify the desired sparsity and offering an alternative estimation and variable selection approach. Theoretical analysis shows that our estimator achieves a nearly minimax-optimal convergence rate using only a few rounds of communication. Its practical performance is evaluated under both the pooled and the distributed setting. The former highlights its competitive estimation efficiency and variable selection performance compared to existing approaches, while the latter demonstrates that the decentralized estimator closely matches the performance of its centralized counterpart. When applied to high-dimensional left-censored HIV viral load data, our method also demonstrates comparable performance.</div></div>","PeriodicalId":55225,"journal":{"name":"Computational Statistics & Data Analysis","volume":"211 ","pages":"Article 108227"},"PeriodicalIF":1.5,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144203578","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
JANE: Just Another latent space NEtwork clustering algorithm 简:只是另一个潜在空间网络聚类算法
IF 1.5 3区 数学
Computational Statistics & Data Analysis Pub Date : 2025-06-02 DOI: 10.1016/j.csda.2025.108228
Alan T. Arakkal, Daniel K. Sewell
{"title":"JANE: Just Another latent space NEtwork clustering algorithm","authors":"Alan T. Arakkal,&nbsp;Daniel K. Sewell","doi":"10.1016/j.csda.2025.108228","DOIUrl":"10.1016/j.csda.2025.108228","url":null,"abstract":"<div><div>While latent space network models have been a popular approach for community detection for over 15 years, major computational challenges remain, limiting the ability to scale beyond small networks. The R statistical software package, <span>JANE</span>, introduces a new estimation algorithm with massive speedups derived from: (1) a low dimensional approximation approach to adjust for degree heterogeneity parameters; (2) an approximation of intractable likelihood terms; (3) a fast initialization algorithm; and (4) a novel set of convergence criteria focused on clustering performance. Additionally, the proposed method addresses limitations of current implementations, which rely on a restrictive spherical-shape assumption for the prior distribution on the latent positions; relaxing this constraint allows for greater flexibility across diverse network structures. A simulation study evaluating clustering performance of the proposed approach against state-of-the-art methods shows dramatically improved clustering performance in most scenarios and significant reductions in computational time — up to 45 times faster compared to existing approaches.</div></div>","PeriodicalId":55225,"journal":{"name":"Computational Statistics & Data Analysis","volume":"211 ","pages":"Article 108228"},"PeriodicalIF":1.5,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144222027","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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