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On the consistency of the jackknife estimator of the asymptotic variance of spatial median 空间中值渐近方差的刀切估计的相合性
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2024-12-15 DOI: 10.1016/j.jmva.2024.105399
František Rublík
{"title":"On the consistency of the jackknife estimator of the asymptotic variance of spatial median","authors":"František Rublík","doi":"10.1016/j.jmva.2024.105399","DOIUrl":"10.1016/j.jmva.2024.105399","url":null,"abstract":"<div><div>It is shown that the usual delete-1 jackknife variance estimator of the asymptotic variance of spatial median is consistent. This is proved under the assumptions that the dimension of the data <span><math><mrow><mi>d</mi><mo>≥</mo><mn>3</mn></mrow></math></span>, the sampled distribution possesses a density with respect to the Lebesgue measure and this density is bounded on every bounded subset of <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>d</mi></mrow></msup></math></span>.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"207 ","pages":"Article 105399"},"PeriodicalIF":1.4,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143134415","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
High-dimensional projection-based ANOVA test 基于高维投影的方差分析检验
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2024-12-15 DOI: 10.1016/j.jmva.2024.105401
Weihao Yu , Qi Zhang , Weiyu Li
{"title":"High-dimensional projection-based ANOVA test","authors":"Weihao Yu ,&nbsp;Qi Zhang ,&nbsp;Weiyu Li","doi":"10.1016/j.jmva.2024.105401","DOIUrl":"10.1016/j.jmva.2024.105401","url":null,"abstract":"<div><div>In bioinformation and medicine, an enormous amount of high-dimensional multi-population data is collected. For the inference of several-samples mean problem, traditional tests do not perform well and many new theories mainly focus on normal distribution and low correlation assumptions. Motivated by the weighted sign test, we propose two projection-based tests which are robust against the choice of correlation matrix. One test utilizes Scheffe’s transformation to generate a group of new samples and derives the optimal projection direction. The other test is adaptive to projection direction and is generalized to the assumption of the whole elliptical distribution and independent component model. Further the theoretical properties are deduced and numerical experiments are carried out to examine the finite sample performance. They show that our tests outperform others under certain circumstances.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"207 ","pages":"Article 105401"},"PeriodicalIF":1.4,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143134416","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
Quadratic inference with dense functional responses 具有密集泛函响应的二次推理
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2024-12-14 DOI: 10.1016/j.jmva.2024.105400
Pratim Guha Niyogi , Ping-Shou Zhong
{"title":"Quadratic inference with dense functional responses","authors":"Pratim Guha Niyogi ,&nbsp;Ping-Shou Zhong","doi":"10.1016/j.jmva.2024.105400","DOIUrl":"10.1016/j.jmva.2024.105400","url":null,"abstract":"<div><div>We address the challenge of estimation in the context of constant linear effect models with dense functional responses. In this framework, the conditional expectation of the response curve is represented by a linear combination of functional covariates with constant regression parameters. In this paper, we present an alternative solution by employing the quadratic inference approach, a well-established method for analyzing correlated data, to estimate the regression coefficients. Our approach leverages non-parametrically estimated basis functions, eliminating the need for choosing working correlation structures. Furthermore, we demonstrate that our method achieves a parametric <span><math><msqrt><mrow><mi>n</mi></mrow></msqrt></math></span>-convergence rate, contingent on an appropriate choice of bandwidth. This convergence is observed when the number of repeated measurements per trajectory exceeds a certain threshold, specifically, when it surpasses <span><math><msup><mrow><mi>n</mi></mrow><mrow><msub><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></msup></math></span>, with <span><math><mi>n</mi></math></span> representing the number of trajectories. Additionally, we establish the asymptotic normality of the resulting estimator. The performance of the proposed method is compared with that of existing methods through extensive simulation studies, where our proposed method outperforms. Real data analysis is also conducted to demonstrate the proposed method.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"207 ","pages":"Article 105400"},"PeriodicalIF":1.4,"publicationDate":"2024-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143134411","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
Asymptotics for non-degenerate multivariate U-statistics with estimated nuisance parameters under the null and local alternative hypotheses 非退化多元u统计量在零假设和局部备择假设下的渐近性
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2024-12-06 DOI: 10.1016/j.jmva.2024.105398
Alain Desgagné , Christian Genest , Frédéric Ouimet
{"title":"Asymptotics for non-degenerate multivariate U-statistics with estimated nuisance parameters under the null and local alternative hypotheses","authors":"Alain Desgagné ,&nbsp;Christian Genest ,&nbsp;Frédéric Ouimet","doi":"10.1016/j.jmva.2024.105398","DOIUrl":"10.1016/j.jmva.2024.105398","url":null,"abstract":"<div><div>The large-sample behavior of non-degenerate multivariate <span><math><mi>U</mi></math></span>-statistics of arbitrary degree is investigated under the assumption that their kernel depends on parameters that can be estimated consistently. Mild regularity conditions are provided which guarantee that once properly normalized, such statistics are asymptotically multivariate Gaussian both under the null hypothesis and sequences of local alternatives. The work of Randles (1982, <em>Ann. Statist.</em>) is extended in three ways: the data and the kernel values can be multivariate rather than univariate, the limiting behavior under local alternatives is studied for the first time, and the effect of knowing some of the nuisance parameters is quantified. These results can be applied to a broad range of goodness-of-fit testing contexts, as shown in two specific examples.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"208 ","pages":"Article 105398"},"PeriodicalIF":1.4,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144500907","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
Efficient estimation of a partially linear panel data model with cross-sectional dependence 具有截面相关性的部分线性面板数据模型的有效估计
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2024-12-05 DOI: 10.1016/j.jmva.2024.105393
Alexandra Soberon , Massimiliano Mazzanti , Antonio Musolesi , Juan M. Rodriguez-Poo
{"title":"Efficient estimation of a partially linear panel data model with cross-sectional dependence","authors":"Alexandra Soberon ,&nbsp;Massimiliano Mazzanti ,&nbsp;Antonio Musolesi ,&nbsp;Juan M. Rodriguez-Poo","doi":"10.1016/j.jmva.2024.105393","DOIUrl":"10.1016/j.jmva.2024.105393","url":null,"abstract":"<div><div>This paper considers efficiency improvements in a partially linear panel data model that accounts for possible nonlinear effects of common covariates and allows for cross-sectional dependence arising simultaneously from unobserved common factors and spatial dependence. A generalized least squares-type estimator is proposed by taking into account this dependence structure. Also, possible gains in terms of the rate of convergence are studied. A Monte Carlo study is carried out to investigate the proposed estimators’ finite sample performance. Further, an empirical application is conducted to assess the impact of the carbon price linked to the European Union Emission Trading System on carbon dioxide emissions.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"206 ","pages":"Article 105393"},"PeriodicalIF":1.4,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137999","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
Equality tests of covariance matrices under a low-dimensional factor structure 低维因子结构下协方差矩阵的等式检验
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2024-12-03 DOI: 10.1016/j.jmva.2024.105397
Masashi Hyodo , Takahiro Nishiyama , Hiroki Watanabe , Tomoyuki Nakagawa , Kouji Tahata
{"title":"Equality tests of covariance matrices under a low-dimensional factor structure","authors":"Masashi Hyodo ,&nbsp;Takahiro Nishiyama ,&nbsp;Hiroki Watanabe ,&nbsp;Tomoyuki Nakagawa ,&nbsp;Kouji Tahata","doi":"10.1016/j.jmva.2024.105397","DOIUrl":"10.1016/j.jmva.2024.105397","url":null,"abstract":"<div><div>We propose an equality test to compare two covariance matrices in a high-dimensional framework while accommodating a low-dimensional latent factor model. We show that null limiting distributions of the test statistics follow a weighted mixture of chi-square distributions under a high-dimensional asymptotic regime combined with weak technical conditions. This distribution depends on the noise covariance matrix and the number of latent factors. Because latent factors are often unknown, we employ an estimation that builds on recent advances in random matrix theory. A numerical study demonstrates the asymptotic power of the proposed test and confirms its favorable analytical properties compared to existing procedures.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"206 ","pages":"Article 105397"},"PeriodicalIF":1.4,"publicationDate":"2024-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138000","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
Gaussian dependence structure pairwise goodness-of-fit testing based on conditional covariance and the 20/60/20 rule 基于条件协方差和20/60/20规则的高斯依赖结构配对拟合优度检验
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2024-11-29 DOI: 10.1016/j.jmva.2024.105396
Jakub Woźny , Piotr Jaworski , Damian Jelito , Marcin Pitera , Agnieszka Wyłomańska
{"title":"Gaussian dependence structure pairwise goodness-of-fit testing based on conditional covariance and the 20/60/20 rule","authors":"Jakub Woźny ,&nbsp;Piotr Jaworski ,&nbsp;Damian Jelito ,&nbsp;Marcin Pitera ,&nbsp;Agnieszka Wyłomańska","doi":"10.1016/j.jmva.2024.105396","DOIUrl":"10.1016/j.jmva.2024.105396","url":null,"abstract":"<div><div>We present a novel data-oriented statistical framework that assesses the presumed Gaussian dependence structure in a pairwise setting. This refers to both multivariate normality and normal copula goodness-of-fit testing. The proposed test clusters the data according to the 20/60/20 rule and confronts conditional covariance (or correlation) estimates on the obtained subsets. The corresponding test statistic has a natural practical interpretation, desirable statistical properties, and asymptotic pivotal distribution under the multivariate normality assumption. We illustrate the usefulness of the introduced framework using extensive power simulation studies and show that our approach outperforms popular benchmark alternatives. Also, we apply the proposed methodology to exemplary commodity and equity market data.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"206 ","pages":"Article 105396"},"PeriodicalIF":1.4,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138044","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
Alteration detection of tensor dependence structure via sparsity-exploited reranking algorithm 基于稀疏性重排序算法的张量相关结构变化检测
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2024-11-28 DOI: 10.1016/j.jmva.2024.105395
Li Ma , Shenghao Qin , Yin Xia
{"title":"Alteration detection of tensor dependence structure via sparsity-exploited reranking algorithm","authors":"Li Ma ,&nbsp;Shenghao Qin ,&nbsp;Yin Xia","doi":"10.1016/j.jmva.2024.105395","DOIUrl":"10.1016/j.jmva.2024.105395","url":null,"abstract":"<div><div>Tensor-valued data arise frequently from a wide variety of scientific applications, and many among them can be translated into an alteration detection problem of tensor dependence structures. In this article, we formulate the problem under the popularly adopted tensor-normal distributions and aim at two-sample correlation/partial correlation comparisons of tensor-valued observations. Through decorrelation and centralization, a separable covariance structure is employed to pool sample information from different tensor modes to enhance the power of the test. Additionally, we propose a novel Sparsity-Exploited Reranking Algorithm (SERA) to further improve the multiple testing efficiency. Such efficiency gain is achieved by incorporating a carefully constructed auxiliary tensor sequence to rerank the <span><math><mi>p</mi></math></span>-values. Besides the tensor framework, SERA is also generally applicable to a wide range of two-sample large-scale inference problems with sparsity structures, and is of independent interest. The asymptotic properties of the proposed test are derived and the algorithm is shown to control the false discovery at the pre-specified level. We demonstrate the efficacy of the proposed method through intensive simulations and two scientific applications.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"206 ","pages":"Article 105395"},"PeriodicalIF":1.4,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138043","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
New multivariate Gini’s indices 新的多元基尼系数
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2024-11-28 DOI: 10.1016/j.jmva.2024.105394
Marco Capaldo , Jorge Navarro
{"title":"New multivariate Gini’s indices","authors":"Marco Capaldo ,&nbsp;Jorge Navarro","doi":"10.1016/j.jmva.2024.105394","DOIUrl":"10.1016/j.jmva.2024.105394","url":null,"abstract":"<div><div>The Gini’s mean difference was defined as the expected absolute difference between a random variable and its independent copy. The corresponding normalized version, namely Gini’s index, denotes two times the area between the egalitarian line and the Lorenz curve. Both are dispersion indices because they quantify how far a random variable and its independent copy are. Aiming to measure dispersion in the multivariate case, we define and study new Gini’s indices. For the bivariate case we provide several results and we point out that they are “dependence-dispersion” indices. Covariance representations are exhibited, with an interpretation also in terms of conditional distributions. Further results, bounds and illustrative examples are discussed too. Multivariate extensions are defined, aiming to apply both indices in more general settings. Then, we define efficiency Gini’s indices for any semi-coherent system and we discuss about their interpretation. Empirical versions are considered as well in order to apply multivariate Gini’s indices to data.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"206 ","pages":"Article 105394"},"PeriodicalIF":1.4,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Multivariate robust linear models for multivariate longitudinal data 多元纵向数据的多元鲁棒线性模型
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2024-11-26 DOI: 10.1016/j.jmva.2024.105392
Keunbaik Lee , Jongwoo Choi , Eun Jin Jang , Dipak Dey
{"title":"Multivariate robust linear models for multivariate longitudinal data","authors":"Keunbaik Lee ,&nbsp;Jongwoo Choi ,&nbsp;Eun Jin Jang ,&nbsp;Dipak Dey","doi":"10.1016/j.jmva.2024.105392","DOIUrl":"10.1016/j.jmva.2024.105392","url":null,"abstract":"<div><div>Linear models commonly used in longitudinal data analysis often assume a multivariate normal distribution. This assumption, however, can lead to biased mean parameter estimates in the presence of outliers. To address this, alternative linear models based on multivariate t distributions have been developed. In this paper, we review the commonly used multivariate distributions applicable to multivariate longitudinal data and introduce multivariate Laplace linear models (MLLMs) that are designed to handle outliers effectively. These models incorporate a scale matrix that is autoregressive, heteroscedastic, and positive definite, using modified Cholesky and hypersphere decompositions. We conduct simulation studies and apply these models to a real data example, comparing the performance of MLLMs with multivariate normal linear models (MNLMs) and multivariate t linear models (MTLMs), and providing insights on when each model is most appropriate.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"206 ","pages":"Article 105392"},"PeriodicalIF":1.4,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142744156","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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