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Strong convergence order for slow-fast SDEs in Hölder norm
IF 0.9 4区 数学
Statistics & Probability Letters Pub Date : 2025-03-09 DOI: 10.1016/j.spl.2025.110398
Jicheng Liu, Guiling Long
{"title":"Strong convergence order for slow-fast SDEs in Hölder norm","authors":"Jicheng Liu,&nbsp;Guiling Long","doi":"10.1016/j.spl.2025.110398","DOIUrl":"10.1016/j.spl.2025.110398","url":null,"abstract":"<div><div>In this paper, we first derive a criterion for strong convergence in Hölder norm by the Garsia–Rodemich–Rumsey’s lemma. Then we apply the criterion to a class of stochastic differential equations with slow and fast time-scales, and deduce the averaging principle in Hölder norm using the technique of Poisson equation. As a byproduct, the strong convergence in sup-norm can be obtained.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"222 ","pages":"Article 110398"},"PeriodicalIF":0.9,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143593021","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 testing mean of high dimensional compositional data
IF 0.9 4区 数学
Statistics & Probability Letters Pub Date : 2025-03-04 DOI: 10.1016/j.spl.2025.110396
Qianqian Jiang, Wenbo Li, Zeng Li
{"title":"On testing mean of high dimensional compositional data","authors":"Qianqian Jiang,&nbsp;Wenbo Li,&nbsp;Zeng Li","doi":"10.1016/j.spl.2025.110396","DOIUrl":"10.1016/j.spl.2025.110396","url":null,"abstract":"<div><div>We investigate one/two-sample mean tests for high-dimensional compositional data when the number of variables is comparable with the sample size, as commonly encountered in microbiome research. Existing methods mainly focus on max-type test statistics which are suitable for detecting sparse signals. However, in this paper, we introduce a novel approach using sum-type test statistics which are capable of detecting weak but dense signals. By establishing the asymptotic independence between the max-type and sum-type test statistics, we further propose a combined max-sum type test to cover both cases. We derived the asymptotic null distributions and power functions for these test statistics. Simulation studies and real data applications demonstrate the superiority of our max-sum type test statistics which exhibit robust performance regardless of data sparsity.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"222 ","pages":"Article 110396"},"PeriodicalIF":0.9,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552614","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
Precise quantile function estimation from the characteristic function
IF 0.9 4区 数学
Statistics & Probability Letters Pub Date : 2025-02-28 DOI: 10.1016/j.spl.2025.110395
Gero Junike
{"title":"Precise quantile function estimation from the characteristic function","authors":"Gero Junike","doi":"10.1016/j.spl.2025.110395","DOIUrl":"10.1016/j.spl.2025.110395","url":null,"abstract":"<div><div>We provide theoretical error bounds for the accurate numerical computation of the quantile function given the characteristic function of a continuous random variable. We show theoretically and empirically that the numerical error of the quantile function is typically several orders of magnitude larger than the numerical error of the cumulative distribution function for probabilities close to zero or one. We introduce the COS method for computing the quantile function. This method converges exponentially when the density is smooth and has semi-heavy tails and all parameters necessary to tune the COS method are given explicitly. Finally, we numerically test our theoretical results on the normal-inverse Gaussian and the tempered stable distributions.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"222 ","pages":"Article 110395"},"PeriodicalIF":0.9,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552517","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 jackknife empirical likelihood ratio test for log-symmetric distributions 对数对称分布的杰克刀经验似然比检验
IF 0.9 4区 数学
Statistics & Probability Letters Pub Date : 2025-02-27 DOI: 10.1016/j.spl.2025.110394
Ganesh Vishnu Avhad, Ananya Lahiri
{"title":"A jackknife empirical likelihood ratio test for log-symmetric distributions","authors":"Ganesh Vishnu Avhad,&nbsp;Ananya Lahiri","doi":"10.1016/j.spl.2025.110394","DOIUrl":"10.1016/j.spl.2025.110394","url":null,"abstract":"<div><div>A nonparametric test for assessing log-symmetric distributions is proposed, including the jackknife empirical likelihood and adjusted jackknife empirical likelihood ratio tests. The asymptotic distribution of the test statistic has been derived as well. A comprehensive Monte Carlo simulation study shows that the proposed tests exhibit good power against various alternative distributions. Additionally, the method is demonstrated using two real data sets to highlight their practical applicability.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"222 ","pages":"Article 110394"},"PeriodicalIF":0.9,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143534703","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
Explicit formulae for projectively transformed Cauchy distributions with applications
IF 0.9 4区 数学
Statistics & Probability Letters Pub Date : 2025-02-24 DOI: 10.1016/j.spl.2025.110393
Paulo R.S. Mendonça, Ben Lundell
{"title":"Explicit formulae for projectively transformed Cauchy distributions with applications","authors":"Paulo R.S. Mendonça,&nbsp;Ben Lundell","doi":"10.1016/j.spl.2025.110393","DOIUrl":"10.1016/j.spl.2025.110393","url":null,"abstract":"<div><div>Cauchy distributions are characterized as the unique class of continuous distributions invariant to projective transformations, and this result naturally extends to the vector- and matrix-valued cases. We introduce a parameterization of Cauchy distributions that leads to elementary formulae for the parameters of projectively transformed matrix-valued Cauchy random variables, and illustrate an application of this result to the classical computer-vision problem of triangulation.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"222 ","pages":"Article 110393"},"PeriodicalIF":0.9,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143576936","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
Efficient sampling in disease surveillance through subpopulations: Sampling canaries in the coal mine
IF 0.9 4区 数学
Statistics & Probability Letters Pub Date : 2025-02-22 DOI: 10.1016/j.spl.2025.110384
Ivo V. Stoepker
{"title":"Efficient sampling in disease surveillance through subpopulations: Sampling canaries in the coal mine","authors":"Ivo V. Stoepker","doi":"10.1016/j.spl.2025.110384","DOIUrl":"10.1016/j.spl.2025.110384","url":null,"abstract":"<div><div>We consider outbreak detection settings of endemic diseases where the population consists of subpopulations available for stratified surveillance. Rather than sampling uniformly across the population, one may elevate effectiveness of detection methodology by optimally choosing a sampling subpopulation. We show (under some assumptions) the relative sampling efficiency between two subpopulations is inversely proportional to the ratio of their baseline disease risks. This implies one can increase sampling efficiency by sampling from the subpopulation with higher baseline disease risk. Our results require careful treatment of power curves of exact binomial tests as a function of their sample size, which are non-monotonic due to the underlying discreteness. A case study of COVID-19 cases in the Netherlands illustrates our theoretical findings.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"222 ","pages":"Article 110384"},"PeriodicalIF":0.9,"publicationDate":"2025-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552518","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
The Bahadur representation for sample quantiles of ρ-mixing random variables
IF 0.9 4区 数学
Statistics & Probability Letters Pub Date : 2025-02-21 DOI: 10.1016/j.spl.2025.110386
Dagmara Dudek, Anna Kuczmaszewska
{"title":"The Bahadur representation for sample quantiles of ρ-mixing random variables","authors":"Dagmara Dudek,&nbsp;Anna Kuczmaszewska","doi":"10.1016/j.spl.2025.110386","DOIUrl":"10.1016/j.spl.2025.110386","url":null,"abstract":"<div><div>In this paper we investigate the strong consistency and the Bahadur representation of sample quantiles for <span><math><mi>ρ</mi></math></span>-mixing random variables. Moreover, we prove the asymptotic normality and the Berry–Esseen bound of sample quantiles for <span><math><mi>ρ</mi></math></span>-mixing random variables. To illustrate the obtained results some numerical simulations are presented.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"221 ","pages":"Article 110386"},"PeriodicalIF":0.9,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143479553","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
Sufficient conditions for relative aging orders of (n−k+1)-out-of-n systems
IF 0.9 4区 数学
Statistics & Probability Letters Pub Date : 2025-02-18 DOI: 10.1016/j.spl.2025.110383
M. Kayid, M. Shrahili
{"title":"Sufficient conditions for relative aging orders of (n−k+1)-out-of-n systems","authors":"M. Kayid,&nbsp;M. Shrahili","doi":"10.1016/j.spl.2025.110383","DOIUrl":"10.1016/j.spl.2025.110383","url":null,"abstract":"<div><div>In this paper, we derive sufficient conditions for the preservation of relative aging orders of component lifetimes under the structure of <span><math><mrow><mo>(</mo><mi>n</mi><mo>−</mo><mi>k</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>-out-of-<span><math><mi>n</mi></math></span> systems. Our results strengthen two relative aging properties of <span><math><mrow><mo>(</mo><mi>n</mi><mo>−</mo><mi>k</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>-out-of-<span><math><mi>n</mi></math></span> systems obtained by Misra and Francis (2015).</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"221 ","pages":"Article 110383"},"PeriodicalIF":0.9,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143453710","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 short memory condition for infinitely divisible random fields
IF 0.9 4区 数学
Statistics & Probability Letters Pub Date : 2025-02-17 DOI: 10.1016/j.spl.2025.110385
Vitalii Makogin , Evgeny Spodarev
{"title":"A short memory condition for infinitely divisible random fields","authors":"Vitalii Makogin ,&nbsp;Evgeny Spodarev","doi":"10.1016/j.spl.2025.110385","DOIUrl":"10.1016/j.spl.2025.110385","url":null,"abstract":"<div><div>This small note yields a sufficient condition for the short range dependence of measurable stationary infinitely divisible moving average random fields with <span><math><mi>d</mi></math></span>-dimensional index space. Here, the short/long range dependence concept is borrowed from the paper (Kulik and Spodarev 2021). In the special case of symmetric stable moving averages, our new condition coincides with the one from paper (Makogin et al., 2021).</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"221 ","pages":"Article 110385"},"PeriodicalIF":0.9,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429184","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
Mixingale and physical dependence equality with applications
IF 0.9 4区 数学
Statistics & Probability Letters Pub Date : 2025-02-17 DOI: 10.1016/j.spl.2025.110380
Jonathan B. Hill
{"title":"Mixingale and physical dependence equality with applications","authors":"Jonathan B. Hill","doi":"10.1016/j.spl.2025.110380","DOIUrl":"10.1016/j.spl.2025.110380","url":null,"abstract":"<div><div>We prove Wu (2005)’s physical dependence and Wu and Min (2005)’s <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span>-weak dependence properties are asymmetrically equivalent to the adapted mixingale property (each implying the other with possibly different memory decay rates), and identical under geometric memory. We apply the result to two unique cases: (<span><math><mi>i</mi></math></span>) a new Gaussian approximation theory for high dimensional near epoch dependent processes, and (<span><math><mrow><mi>i</mi><mi>i</mi></mrow></math></span>) a new maximal moment inequality for <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span>-physical dependent arrays when 1 <span><math><mo>&lt;</mo></math></span> <span><math><mi>p</mi></math></span> <span><math><mo>&lt;</mo></math></span> 2.</div></div>","PeriodicalId":49475,"journal":{"name":"Statistics & Probability Letters","volume":"221 ","pages":"Article 110380"},"PeriodicalIF":0.9,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143438269","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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