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Combinatorial aspects of a discrete parking process 离散停车过程的组合方面
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-06-01 Epub Date: 2026-02-12 DOI: 10.1016/j.spl.2026.110682
Robinson Higuita-Diaz , Lykos López , Alejandro Roldán-Correa
{"title":"Combinatorial aspects of a discrete parking process","authors":"Robinson Higuita-Diaz ,&nbsp;Lykos López ,&nbsp;Alejandro Roldán-Correa","doi":"10.1016/j.spl.2026.110682","DOIUrl":"10.1016/j.spl.2026.110682","url":null,"abstract":"<div><div>This article examines a discrete parking process on a line of <span><math><mi>n</mi></math></span> sites, where particles arrive sequentially, choosing a position uniformly at random among the currently available sites, and occupy a site only if it and its neighbors are vacant. The process ends when no further placements are possible, yielding a jamming limit configuration. We analyze combinatorial properties of the space of such configurations, including the enumeration of specific subsets. To contrast with the sequential dynamics, we introduce a static model in which all admissible jamming configurations are equally likely. For this model, we establish results on occupancy probabilities, the distribution and mean of occupied sites, and asymptotic occupancy density. A key finding is that the static model is stochastically dominated by the sequential one in terms of total occupancy. The study highlights structural and probabilistic differences between the models, contributing to the understanding of parking processes and random sequential adsorption.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"233 ","pages":"Article 110682"},"PeriodicalIF":0.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146191114","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
Qualitative identification conditions for causal effects under bad controls in linear structural equation models 线性结构方程模型中不良控制下因果效应的定性识别条件
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-06-01 Epub Date: 2026-01-13 DOI: 10.1016/j.spl.2026.110642
Chie Taguchi , Manabu Kuroki
{"title":"Qualitative identification conditions for causal effects under bad controls in linear structural equation models","authors":"Chie Taguchi ,&nbsp;Manabu Kuroki","doi":"10.1016/j.spl.2026.110642","DOIUrl":"10.1016/j.spl.2026.110642","url":null,"abstract":"<div><div>This paper considers a situation where the cause–effect relationships among random variables are represented by a linear structural equation model and the corresponding directed acyclic graph. When the causal effect is not quantitatively identifiable, we propose two novel qualitative identification conditions for causal effects under bad controls.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"233 ","pages":"Article 110642"},"PeriodicalIF":0.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146080925","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
Optimal three-level blocked designs via general minimum lower-order confounding criterion 基于一般最小低阶混杂准则的最优三层阻塞设计
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-06-01 Epub Date: 2026-01-30 DOI: 10.1016/j.spl.2026.110665
Zhi Li , Dennis K.J. Lin , Zhiming Li
{"title":"Optimal three-level blocked designs via general minimum lower-order confounding criterion","authors":"Zhi Li ,&nbsp;Dennis K.J. Lin ,&nbsp;Zhiming Li","doi":"10.1016/j.spl.2026.110665","DOIUrl":"10.1016/j.spl.2026.110665","url":null,"abstract":"<div><div>This paper introduces a blocked general minimum lower-order confounding (B-GMC) criterion and focuses on constructing optimal three-level blocked designs. We obtain some necessary conditions for constructing B-GMC designs. In addition, all 27-run and some 81-run B-GMC designs are tabulated.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"233 ","pages":"Article 110665"},"PeriodicalIF":0.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146190587","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
The Stieltjes transform order and related ratio order Stieltjes变换阶和相关的比值阶
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-06-01 Epub Date: 2026-02-02 DOI: 10.1016/j.spl.2026.110663
Abdulaziz Alenazi , Khaled Mehrez
{"title":"The Stieltjes transform order and related ratio order","authors":"Abdulaziz Alenazi ,&nbsp;Khaled Mehrez","doi":"10.1016/j.spl.2026.110663","DOIUrl":"10.1016/j.spl.2026.110663","url":null,"abstract":"<div><div>In this paper, we introduce the Stieltjes transform order, defined via the composition of the Laplace transform of a random variable. First, we establish the monotonicity of the hazard rate associated with a transformed distribution of a random variable <span><math><mi>X</mi></math></span>. As a consequence, we derive a sharp lower bound for the Stieltjes transform of <span><math><mi>X</mi></math></span> in terms of its first two inverse moments. Secondly, we investigate the Stieltjes transform ratio order and provide its characterizations, both via properties of the hazard rate and through the monotonicity properties of higher-order Stieltjes transforms together with moment inequalities. We further establish explicit connections between the proposed orders and classical stochastic orders, including equivalence with the usual stochastic order and implication from the likelihood ratio order. These results enhance our understanding of stochastic orders and open new avenues for applications in reliability theory, economics, and applied probability.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"233 ","pages":"Article 110663"},"PeriodicalIF":0.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146191122","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
Transfer learning based on the single-index model 基于单指标模型的迁移学习
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-06-01 Epub Date: 2026-01-30 DOI: 10.1016/j.spl.2026.110667
Fengli Song, Yurong Zhang, Zhou Wang, Peng Lai
{"title":"Transfer learning based on the single-index model","authors":"Fengli Song,&nbsp;Yurong Zhang,&nbsp;Zhou Wang,&nbsp;Peng Lai","doi":"10.1016/j.spl.2026.110667","DOIUrl":"10.1016/j.spl.2026.110667","url":null,"abstract":"<div><div>We introduce two transfer learning algorithms based on the single-index model, tailored for settings where the transferable data are either known or unknown. Theoretical properties of the proposed models are discussed. Their performance is evaluated through numerical simulations and applied to Genotype-Tissue Expression data.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"233 ","pages":"Article 110667"},"PeriodicalIF":0.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146191119","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
The autocorrelation structure of integer-valued autoregressive random fields 整值自回归随机场的自相关结构
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-06-01 Epub Date: 2026-02-07 DOI: 10.1016/j.spl.2026.110681
Angelika Silbernagel, Christian H. Weiß
{"title":"The autocorrelation structure of integer-valued autoregressive random fields","authors":"Angelika Silbernagel,&nbsp;Christian H. Weiß","doi":"10.1016/j.spl.2026.110681","DOIUrl":"10.1016/j.spl.2026.110681","url":null,"abstract":"<div><div>After clarifying possible misunderstandings concerning covariances of thinned random variables, we propose a refined definition of the first-order integer-valued autoregressive model for count random fields. We provide a comprehensive derivation of its autocorrelation structure, which also covers some former results. Moreover, we expand the refined model to higher-order autoregressions and study its stochastic properties.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"233 ","pages":"Article 110681"},"PeriodicalIF":0.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146191117","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
Total variation bounds in the Lindeberg central limit theorem 林德伯格中心极限定理中的总变分界
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-06-01 Epub Date: 2026-02-12 DOI: 10.1016/j.spl.2026.110687
Nguyen Tien Dung, Hoang Thi Phuong Thao
{"title":"Total variation bounds in the Lindeberg central limit theorem","authors":"Nguyen Tien Dung,&nbsp;Hoang Thi Phuong Thao","doi":"10.1016/j.spl.2026.110687","DOIUrl":"10.1016/j.spl.2026.110687","url":null,"abstract":"<div><div>In this paper, we obtain an explicit total variation bound in the central limit theorem for the sums of independent random variables (not necessarily identically distributed). Our results show that, under suitable assumptions, Lindeberg’s condition is sufficient and necessary for the convergence in total variation distance.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"233 ","pages":"Article 110687"},"PeriodicalIF":0.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146191115","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
Basis precision matrix estimation via column-wise inverse operator 基于列逆算子的基精度矩阵估计
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-06-01 Epub Date: 2026-02-10 DOI: 10.1016/j.spl.2026.110685
Shuwei Hu
{"title":"Basis precision matrix estimation via column-wise inverse operator","authors":"Shuwei Hu","doi":"10.1016/j.spl.2026.110685","DOIUrl":"10.1016/j.spl.2026.110685","url":null,"abstract":"<div><div>This paper proposes an improved column-wise inverse operator method for precision matrix estimation of high-dimensional compositional data. We construct the estimator by using the truncated sample log-ratio covariance matrix and provide a probability bound on <span><math><mrow><msub><mrow><mi>G</mi></mrow><mrow><mi>q</mi></mrow></msub><mrow><mo>(</mo><msub><mrow><mi>s</mi></mrow><mrow><mi>n</mi><mo>,</mo><mi>p</mi></mrow></msub><mo>,</mo><msub><mrow><mi>M</mi></mrow><mrow><mi>n</mi><mo>,</mo><mi>p</mi></mrow></msub><mo>)</mo></mrow></mrow></math></span> under <span><math><mrow><mn>4</mn><mo>+</mo><mi>ɛ</mi></mrow></math></span> (<span><math><mrow><mi>ɛ</mi><mo>&gt;</mo><mn>0</mn></mrow></math></span>) moment condition. Simulations and a human gut microbiome dataset analysis confirm that the method works well.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"233 ","pages":"Article 110685"},"PeriodicalIF":0.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146191121","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
Group balancing generalized propensity score matching with continuous treatments 组平衡广义倾向评分与连续治疗匹配
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-06-01 Epub Date: 2026-02-02 DOI: 10.1016/j.spl.2026.110666
Kuan Sun, Zhiguo Xiao
{"title":"Group balancing generalized propensity score matching with continuous treatments","authors":"Kuan Sun,&nbsp;Zhiguo Xiao","doi":"10.1016/j.spl.2026.110666","DOIUrl":"10.1016/j.spl.2026.110666","url":null,"abstract":"<div><div>We propose a new method for estimating the effect of a continuous treatment when data contains unobserved group-level differences. Our approach uses group-level averages of treatments and covariates as “group balancing statistics” to eliminate differences between groups. We introduce the Group Balancing Generalized Propensity Score Matching (GBGPSM) estimator, establish its asymptotic properties, and evaluate its performance through simulations.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"233 ","pages":"Article 110666"},"PeriodicalIF":0.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146191126","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 stabilization via discrete-time feedback control for stochastic systems driven by G-Lévy process g - lsamvy过程驱动随机系统的离散时间反馈控制的指数镇定
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-05-01 Epub Date: 2026-01-08 DOI: 10.1016/j.spl.2026.110639
Bingjun Wang , Hongjun Gao , Mingxia Yuan
{"title":"Exponential stabilization via discrete-time feedback control for stochastic systems driven by G-Lévy process","authors":"Bingjun Wang ,&nbsp;Hongjun Gao ,&nbsp;Mingxia Yuan","doi":"10.1016/j.spl.2026.110639","DOIUrl":"10.1016/j.spl.2026.110639","url":null,"abstract":"<div><div>This paper investigates the exponential stabilization of stochastic systems driven by <span><math><mi>G</mi></math></span>-Lévy processes via discrete-time feedback control. We design a control input in the drift term based on discrete-time state observations and prove that there exists an upper bound <span><math><mrow><mover><mrow><mi>τ</mi></mrow><mrow><mo>̄</mo></mrow></mover><mo>&gt;</mo><mn>0</mn></mrow></math></span> for the observation step size such that the controlled system achieves both mean square and quasi-sure exponential stability for any step size <span><math><mrow><mi>τ</mi><mo>&lt;</mo><mover><mrow><mi>τ</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></math></span>. An illustrative example validates the effectiveness of the proposed control strategy.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"232 ","pages":"Article 110639"},"PeriodicalIF":0.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928321","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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