Journal of Statistical Planning and Inference最新文献_第4页

On schematic orthogonal arrays of high strength 高强度正交阵列示意图

IF 0.8 4区数学

Journal of Statistical Planning and Inference Pub Date : 2024-09-04 DOI: 10.1016/j.jspi.2024.106230

Rong Yan, Shanqi Pang, Jing Wang, Mengqian Chen

引用次数: 0

Zero-inflated multivariate tobit regression modeling 零膨胀多元托比特回归建模

IF 0.8 4区数学

Journal of Statistical Planning and Inference Pub Date : 2024-09-03 DOI: 10.1016/j.jspi.2024.106229

Becky Tang , Henry A. Frye , John A. Silander Jr. , Alan E. Gelfand

{"title":"Zero-inflated multivariate tobit regression modeling","authors":"Becky Tang , Henry A. Frye , John A. Silander Jr. , Alan E. Gelfand","doi":"10.1016/j.jspi.2024.106229","DOIUrl":"10.1016/j.jspi.2024.106229","url":null,"abstract":"<div><p>A frequent challenge encountered in real-world applications is data having a high proportion of zeros. Focusing on ecological abundance data, much attention has been given to zero-inflated count data. Models for non-negative continuous abundance data with an excess of zeros are rarely discussed. Work presented here considers the creation of a point mass at zero through a left-censoring approach or through a hurdle approach. We incorporate both mechanisms to capture the analog of zero-inflation for count data. Additionally, primary attention has been given to univariate zero-inflated modeling (e.g., single species), whereas data often arise jointly (e.g., a collection of species). With multivariate abundance data, a key issue is to capture dependence among the species at a site, both in terms of positive abundance as well as absence. Therefore, our contribution is a model for multivariate zero-inflated continuous data that are non-negative. Working in a Bayesian framework, we discuss the issue of separating the two sources of zeros and offer model comparison metrics for multivariate zero-inflated data. In an application, we model the total biomass for five tree species obtained from plots established in the Forest Inventory Analysis database in the Northeast region of the United States.</p></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"236 ","pages":"Article 106229"},"PeriodicalIF":0.8,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142150410","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

Convergent stochastic algorithm for estimation in general multivariate correlated frailty models using integrated partial likelihood 利用集成偏似然法对一般多变量相关虚弱模型进行估计的收敛随机算法

IF 0.8 4区数学

Journal of Statistical Planning and Inference Pub Date : 2024-08-31 DOI: 10.1016/j.jspi.2024.106231

Ajmal Oodally , Luc Duchateau , Estelle Kuhn

{"title":"Convergent stochastic algorithm for estimation in general multivariate correlated frailty models using integrated partial likelihood","authors":"Ajmal Oodally , Luc Duchateau , Estelle Kuhn","doi":"10.1016/j.jspi.2024.106231","DOIUrl":"10.1016/j.jspi.2024.106231","url":null,"abstract":"<div><p>The Cox model with unspecified baseline hazard is often used to model survival data. In the case of correlated event times, this model can be extended by introducing random effects, also called frailty terms, leading to the frailty model. Few methods have been put forward to estimate parameters of such frailty models, and they often consider only a particular distribution for the frailty terms and specific correlation structures. In this paper, a new efficient method is introduced to perform parameter estimation by maximizing the integrated partial likelihood. The proposed stochastic estimation procedure can deal with frailty models with a broad choice of distributions for the frailty terms and with any kind of correlation structure between the frailty components, also allowing random interaction terms between the covariates and the frailty components. The almost sure convergence of the stochastic estimation algorithm towards a critical point of the integrated partial likelihood is proved. Numerical convergence properties are evaluated through simulation studies and comparison with existing methods is performed. In particular, the robustness of the proposed method with respect to different parametric baseline hazards and misspecified frailty distributions is demonstrated through simulation. Finally, the method is applied to a mastitis and a bladder cancer dataset.</p></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"236 ","pages":"Article 106231"},"PeriodicalIF":0.8,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142162836","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

Effect of dimensionality on convergence rates of kernel ridge regression estimator 维度对核脊回归估计器收敛率的影响

IF 0.8 4区数学

Journal of Statistical Planning and Inference Pub Date : 2024-08-26 DOI: 10.1016/j.jspi.2024.106228

Kwan-Young Bak , Woojoo Lee

{"title":"Effect of dimensionality on convergence rates of kernel ridge regression estimator","authors":"Kwan-Young Bak , Woojoo Lee","doi":"10.1016/j.jspi.2024.106228","DOIUrl":"10.1016/j.jspi.2024.106228","url":null,"abstract":"<div><div>Despite the curse of dimensionality, kernel ridge regression often exhibits good performance in practical applications, even when the dimension is moderately large. However, it has been shown that kernel ridge regression cannot be free from the curse of dimensionality. Until now, the literature on kernel ridge regression has suggested that the gap between theory and practice in relation to dimensionality has not narrowed. In this study, we first investigate when the influence of dimensionality does not significantly affect the convergence rate of the kernel ridge regression. Specifically, we study the convergence rate of <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> risks for the kernel ridge estimator, with a focus on reproducing kernel Hilbert space (RKHS) generated by a product kernel. We show that the univariate optimal convergence rate up to a logarithmic factor in <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> risks can be achieved by controlling the size of the RKHS. The result of a numerical study confirms our theoretical findings.</div></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"236 ","pages":"Article 106228"},"PeriodicalIF":0.8,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142180125","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

Bayes oracle property of multiple tests of multivariate normal means under sparsity 稀疏性条件下多元正态均值多重检验的贝叶斯神谕特性

IF 0.8 4区数学

Journal of Statistical Planning and Inference Pub Date : 2024-08-22 DOI: 10.1016/j.jspi.2024.106227

Zikun Qin, Malay Ghosh

引用次数: 0

Assessing heterogeneity in treatment initiation guidelines in longitudinal randomized controlled trials 评估纵向随机对照试验中治疗启动指南的异质性

IF 0.8 4区数学

Journal of Statistical Planning and Inference Pub Date : 2024-08-12 DOI: 10.1016/j.jspi.2024.106226

Hyunkeun Ryan Cho , Seonjin Kim

{"title":"Assessing heterogeneity in treatment initiation guidelines in longitudinal randomized controlled trials","authors":"Hyunkeun Ryan Cho , Seonjin Kim","doi":"10.1016/j.jspi.2024.106226","DOIUrl":"10.1016/j.jspi.2024.106226","url":null,"abstract":"<div><p>Treatment initiation guidelines are essential in healthcare, dictating when patients begin therapy. These guidelines are typically assessed through randomized controlled trials (RCTs) to measure their average effect on a population. However, this method may not fully account for patient heterogeneity. We introduce a refined analysis methodology that accounts for diverse times to treatment initiation (TTI) arising from these guidelines. We offer a more detailed perspective on the guidelines’ impact by analyzing homogeneous subpopulations based on their TTI. We develop a longitudinal regression model with smooth time functions to capture dynamic changes in average guideline effects on subpopulations (AGES). A unique weighting mechanism creates pseudo-subpopulations from RCT data, enabling consistent and precise estimation of smooth functions. The efficacy of our approach is validated through theoretical and numerical studies, underscoring its capacity to provide insightful statistical inferences. We exemplify the utility of our methodology by applying it to an RCT of the World Health Organization (WHO) guideline for adults with HIV. This analysis promises to enhance the evaluation of treatment initiation guidelines, leading to more personalized and efficient patient care.</p></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"235 ","pages":"Article 106226"},"PeriodicalIF":0.8,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141993852","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

A graph decomposition-based approach for the graph-fused lasso 基于图分解的图融合套索方法

IF 0.8 4区数学

Journal of Statistical Planning and Inference Pub Date : 2024-08-10 DOI: 10.1016/j.jspi.2024.106221

Feng Yu , Archer Yi Yang , Teng Zhang

{"title":"A graph decomposition-based approach for the graph-fused lasso","authors":"Feng Yu , Archer Yi Yang , Teng Zhang","doi":"10.1016/j.jspi.2024.106221","DOIUrl":"10.1016/j.jspi.2024.106221","url":null,"abstract":"<div><p>We propose a new algorithm for solving the graph-fused lasso (GFL), a regularized model that operates under the assumption that the signal tends to be locally constant over a predefined graph structure. The proposed method applies a novel decomposition of the objective function for the alternating direction method of multipliers (ADMM) algorithm. While ADMM has been widely used in fused lasso problems, existing works such as the network lasso decompose the objective function into the loss function component and the total variation penalty component. In contrast, based on the graph matching technique in graph theory, we propose a new method of decomposition that separates the objective function into two components, where one component is the loss function plus part of the total variation penalty, and the other component is the remaining total variation penalty. We develop an exact convergence rate of the proposed algorithm by developing a general theory on the local convergence of ADMM. Compared with the network lasso algorithm, our algorithm has a faster exact linear convergence rate (although in the same order as for the network lasso). It also enjoys a smaller computational cost per iteration, thus converges overall faster in most numerical examples.</p></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"235 ","pages":"Article 106221"},"PeriodicalIF":0.8,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142096052","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

Exponential consistency of M-estimators in generalized linear mixed models 广义线性混合模型中 M 估计器的指数一致性

IF 0.8 4区数学

Journal of Statistical Planning and Inference Pub Date : 2024-08-08 DOI: 10.1016/j.jspi.2024.106222

Andrea Bratsberg , Magne Thoresen , Abhik Ghosh

{"title":"Exponential consistency of M-estimators in generalized linear mixed models","authors":"Andrea Bratsberg , Magne Thoresen , Abhik Ghosh","doi":"10.1016/j.jspi.2024.106222","DOIUrl":"10.1016/j.jspi.2024.106222","url":null,"abstract":"<div><p>Generalized linear mixed models are powerful tools for analyzing clustered data, where the unknown parameters are classically (and most commonly) estimated by the maximum likelihood and restricted maximum likelihood procedures. However, since the likelihood-based procedures are known to be highly sensitive to outliers, M-estimators have become popular as a means to obtain robust estimates under possible data contamination. In this paper, we prove that for sufficiently smooth general loss functions defining the M-estimators in generalized linear mixed models, the tail probability of the deviation between the estimated and the true regression coefficients has an exponential bound. This implies an exponential rate of consistency of these M-estimators under appropriate assumptions, generalizing the existing exponential consistency results from univariate to multivariate responses. We have illustrated this theoretical result further for the special examples of the maximum likelihood estimator and the robust minimum density power divergence estimator, a popular example of model-based M-estimators, in the settings of linear and logistic mixed models, comparing it with the empirical rate of convergence through simulation studies.</p></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"235 ","pages":"Article 106222"},"PeriodicalIF":0.8,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S037837582400079X/pdfft?md5=852e7e6dbe375fd6c8f548a7fe669070&pid=1-s2.0-S037837582400079X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141990800","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

A criterion for estimating the largest linear homoscedastic zone in Gaussian data 估计高斯数据中最大线性同余区的标准

IF 0.8 4区数学

Journal of Statistical Planning and Inference Pub Date : 2024-08-06 DOI: 10.1016/j.jspi.2024.106223

Jean-Marc Bardet

引用次数: 0

Statistical inference from partially nominated sets: An application to estimating the prevalence of osteoporosis among adult women 从部分提名集进行统计推断：应用于估算成年女性骨质疏松症患病率

IF 0.8 4区数学

Journal of Statistical Planning and Inference Pub Date : 2024-07-26 DOI: 10.1016/j.jspi.2024.106214

Zeinab Akbari Ghamsari , Ehsan Zamanzade , Majid Asadi

{"title":"Statistical inference from partially nominated sets: An application to estimating the prevalence of osteoporosis among adult women","authors":"Zeinab Akbari Ghamsari , Ehsan Zamanzade , Majid Asadi","doi":"10.1016/j.jspi.2024.106214","DOIUrl":"10.1016/j.jspi.2024.106214","url":null,"abstract":"<div><p>This paper focuses on drawing statistical inference based on a novel variant of maxima or minima nomination sampling (NS) designs. These sampling designs are useful for obtaining more representative sample units from the tails of the population distribution using the available auxiliary ranking information. However, one common difficulty in performing NS in practice is that the researcher cannot obtain a nominated sample unless he/she uniquely determines the sample unit with the highest or the lowest rank in each set. To overcome this problem, a variant of NS, which is called partial nomination sampling, is proposed, in which the researcher is allowed to declare that two or more units are tied in the ranks whenever he/she cannot find the sample unit with the highest or the lowest rank. Based on this sampling design, two asymptotically unbiased estimators are developed for the cumulative distribution function, which is obtained using maximum likelihood and moment-based approaches, and their asymptotic normalities are proved. Several numerical studies have shown that the proposed estimators have higher relative efficiencies than their counterparts in simple random sampling in analyzing either the upper or the lower tail of the parent distribution. The procedures that we developed are then implemented on a real dataset from the Third National Health and Nutrition Examination Survey (NHANES III) to estimate the prevalence of osteoporosis among adult women aged 50 and over. It is shown that in certain circumstances, the techniques that we have developed require only one-third of the sample size needed in SRS to achieve the desired precision. This results in a considerable reduction in time and cost compared to the standard SRS method.</p></div>","PeriodicalId":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"235 ","pages":"Article 106214"},"PeriodicalIF":0.8,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937766","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