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Trotter-Kato approximations of stochastic evolution equations with local Lipschitz nonlinearities 局部Lipschitz非线性随机演化方程的Trotter-Kato近似
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-04-01 Epub Date: 2025-11-22 DOI: 10.1016/j.spl.2025.110605
T.E. Govindan
{"title":"Trotter-Kato approximations of stochastic evolution equations with local Lipschitz nonlinearities","authors":"T.E. Govindan","doi":"10.1016/j.spl.2025.110605","DOIUrl":"10.1016/j.spl.2025.110605","url":null,"abstract":"<div><div>The paper studies semilinear stochastic evolution equations in a real Hilbert space. The main goal is to consider the Trotter-Kato approximations of mild solutions of such equations using local Lipschitz conditions on the nonlinear terms. The results obtained are new and generalize some of the results from <span><span>Govindan (2015)</span></span>.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"230 ","pages":"Article 110605"},"PeriodicalIF":0.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145624245","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
Asymptotic behavior of renewal processes with random time 随机时间更新过程的渐近行为
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-04-01 Epub Date: 2025-11-19 DOI: 10.1016/j.spl.2025.110603
Diana Rauwolf , Udo Kamps
{"title":"Asymptotic behavior of renewal processes with random time","authors":"Diana Rauwolf ,&nbsp;Udo Kamps","doi":"10.1016/j.spl.2025.110603","DOIUrl":"10.1016/j.spl.2025.110603","url":null,"abstract":"<div><div>For renewal processes with random time, extensions of well-known asymptotic relations such as the elementary renewal theorem, Blackwell’s renewal and Smith’s key renewal theorem are given. Whereas, in these results, time tends to infinity, the limits here are taken with respect to a sequence of parameters of respective random-time distributions satisfying some condition.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"230 ","pages":"Article 110603"},"PeriodicalIF":0.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145580286","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
Complete moment convergence for pairwise i.i.d. random variables with regularly varying moments 具有正则变矩的成对i.i.d随机变量的完全矩收敛性
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-04-01 Epub Date: 2025-12-24 DOI: 10.1016/j.spl.2025.110631
Yongfeng Wu , Mei Guan
{"title":"Complete moment convergence for pairwise i.i.d. random variables with regularly varying moments","authors":"Yongfeng Wu ,&nbsp;Mei Guan","doi":"10.1016/j.spl.2025.110631","DOIUrl":"10.1016/j.spl.2025.110631","url":null,"abstract":"<div><div>The authors study the complete moment convergence for pairwise independent and identically distributed (i.i.d.) random variables with regularly varying moments. The obtained results in this work extend and improve the corresponding theorems of Stoica and Li (2025) and Chen et al. (2014).</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"231 ","pages":"Article 110631"},"PeriodicalIF":0.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145841474","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
Large deviations of Gaussian neural networks with ReLU activation 具有ReLU激活的高斯神经网络的大偏差
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-04-01 Epub Date: 2025-11-25 DOI: 10.1016/j.spl.2025.110611
Quirin Vogel
{"title":"Large deviations of Gaussian neural networks with ReLU activation","authors":"Quirin Vogel","doi":"10.1016/j.spl.2025.110611","DOIUrl":"10.1016/j.spl.2025.110611","url":null,"abstract":"<div><div>We prove a large deviation principle for deep neural networks with Gaussian weights and at most linearly growing activation functions, such as ReLU. This generalizes earlier work, in which bounded and continuous activation functions were considered. In practice, linearly growing activation functions such as ReLU are most commonly used. We furthermore simplify previous expressions for the rate function and provide a power-series expansions for the ReLU case.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"230 ","pages":"Article 110611"},"PeriodicalIF":0.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145624248","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
Generating negative regression dependence via conditioning operations 通过条件作用产生负回归依赖
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-04-01 Epub Date: 2025-12-14 DOI: 10.1016/j.spl.2025.110623
Weiwei Zhuang, Yuting Su, Taizhong Hu
{"title":"Generating negative regression dependence via conditioning operations","authors":"Weiwei Zhuang,&nbsp;Yuting Su,&nbsp;Taizhong Hu","doi":"10.1016/j.spl.2025.110623","DOIUrl":"10.1016/j.spl.2025.110623","url":null,"abstract":"<div><div>Negative dependence emerges through conditioning. In this paper, we establish sufficient conditions for a random vector to exhibit negative regression dependence, negative left-tail dependence and/or negative right-tail dependence when conditioned on the event that its component sum equals a constant or falls within a specified interval. Counterexamples are presented to delineate the conceptual distinctions among some notions of negative dependence.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"231 ","pages":"Article 110623"},"PeriodicalIF":0.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145792042","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
Maximum likelihood estimation for singular Wishart distributions 奇异Wishart分布的极大似然估计
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-03-01 Epub Date: 2025-10-18 DOI: 10.1016/j.spl.2025.110579
Manabu Asai
{"title":"Maximum likelihood estimation for singular Wishart distributions","authors":"Manabu Asai","doi":"10.1016/j.spl.2025.110579","DOIUrl":"10.1016/j.spl.2025.110579","url":null,"abstract":"<div><div>This paper utilizes the Bartlett decomposition of a singular Wishart variable to derive the log-expectation. A re-parameterization for maximum likelihood estimation is proposed to separately estimate the scale matrix and the degrees-of-freedom parameter. Its asymptotic and finite-sample properties are investigated.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"229 ","pages":"Article 110579"},"PeriodicalIF":0.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145360125","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
Stochastic comparisons of two-series–parallel systems with independent components randomly chosen from two batches 从两个批次中随机选择独立组件的两个串并联系统的随机比较
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-03-01 Epub Date: 2025-10-17 DOI: 10.1016/j.spl.2025.110576
Longxiang Fang , Yu Ruan , N. Balakrishnan
{"title":"Stochastic comparisons of two-series–parallel systems with independent components randomly chosen from two batches","authors":"Longxiang Fang ,&nbsp;Yu Ruan ,&nbsp;N. Balakrishnan","doi":"10.1016/j.spl.2025.110576","DOIUrl":"10.1016/j.spl.2025.110576","url":null,"abstract":"<div><div>Stochastic comparisons are quite helpful in optimizing system designs by evaluating the performance of different configurations and ensuring that critical systems meet reliability standards under diverse conditions. In this paper, we discuss stochastic comparisons of lifetimes of two-series–parallel systems with <span><math><mrow><mn>2</mn><mi>n</mi></mrow></math></span> independent components randomly chosen from two different batches. We assume the <span><math><mi>n</mi></math></span> components from the first batch is more reliable than the <span><math><mi>n</mi></math></span> components from the second batch. Then, in the case of two-series–parallel system, we prove that the reliability of the system increases in terms of the usual stochastic order, as the random number, <span><math><mi>K</mi></math></span>, taking values in <span><math><mrow><mo>{</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mo>…</mo><mo>,</mo><mrow><mo>[</mo><mfrac><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mo>]</mo></mrow><mo>}</mo></mrow></math></span>, of components chosen from the first batch increases in increasing concave order or the random number, <span><math><mi>K</mi></math></span>, taking values in <span><math><mrow><mo>{</mo><mrow><mo>[</mo><mfrac><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mo>]</mo></mrow><mo>+</mo><mn>1</mn><mo>,</mo><mo>…</mo><mo>,</mo><mi>n</mi><mo>}</mo></mrow></math></span>, of components chosen from the first batch decreases in increasing convex order. We also present some numerical examples to illustrate all the results established here.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"229 ","pages":"Article 110576"},"PeriodicalIF":0.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145324181","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
On mixture relationships between central and non-central chi-squared difference distributions 中心和非中心卡方差分布的混合关系
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-03-01 Epub Date: 2025-11-04 DOI: 10.1016/j.spl.2025.110588
M.C. Jones
{"title":"On mixture relationships between central and non-central chi-squared difference distributions","authors":"M.C. Jones","doi":"10.1016/j.spl.2025.110588","DOIUrl":"10.1016/j.spl.2025.110588","url":null,"abstract":"<div><div>Gaunt (2026) introduced and studied the non-central chi-squared difference distribution. One version of this arose as the distribution of the product of the two marginal random variables of the general (non-degenerate) bivariate normal distribution. Initially, I provide an alternative basic argument as to why this is so. The main focus of the article, however, is to extend a number of known mixing relationships between (non-central) chi-squared distributions to the (non-central) chi-squared difference distribution case. In certain circumstances, just a single mixing random variable remains required rather than the two independent ones that are trivially applicable in general.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"229 ","pages":"Article 110588"},"PeriodicalIF":0.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145466737","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 existence of a class of asymmetric orthogonal arrays with seven factors 一类七因子不对称正交阵列的存在性
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-03-01 Epub Date: 2025-10-18 DOI: 10.1016/j.spl.2025.110578
Yan Zhu , Shanqi Pang , Xiao Lin , Chen Li
{"title":"The existence of a class of asymmetric orthogonal arrays with seven factors","authors":"Yan Zhu ,&nbsp;Shanqi Pang ,&nbsp;Xiao Lin ,&nbsp;Chen Li","doi":"10.1016/j.spl.2025.110578","DOIUrl":"10.1016/j.spl.2025.110578","url":null,"abstract":"<div><div>This paper investigates asymmetric orthogonal arrays with seven factors of strength two and presents a few new constructions. The proposed method is straightforward and constructive. We obtain numerous infinite families of such arrays. Selective arrays are tabulated for practical uses.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"229 ","pages":"Article 110578"},"PeriodicalIF":0.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145365342","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
Maximum conditional likelihood estimation for the REST model with measurement error 具有测量误差的REST模型的最大条件似然估计
IF 0.7 4区 数学
Statistics & Probability Letters Pub Date : 2026-03-01 Epub Date: 2025-10-27 DOI: 10.1016/j.spl.2025.110581
Jie Zhang , Yang Liu , Qian Sun
{"title":"Maximum conditional likelihood estimation for the REST model with measurement error","authors":"Jie Zhang ,&nbsp;Yang Liu ,&nbsp;Qian Sun","doi":"10.1016/j.spl.2025.110581","DOIUrl":"10.1016/j.spl.2025.110581","url":null,"abstract":"<div><div>We propose a maximum conditional likelihood estimation approach for the random encounter and staying time model, incorporating simulation-extrapolation to correct for biases arising from measurement error. The effectiveness of proposed methods is demonstrated via simulations and field data.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"229 ","pages":"Article 110581"},"PeriodicalIF":0.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145419173","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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