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This article introduces a new instrumental variable approach for estimating unknown population parameters with data having nonrandom missing values. With coarse and discrete instruments, Shao and Wang (2016) proposed a semiparametric method…

统计方法学 · 统计学 2021-11-19 Arkaprabha Ganguli , David Todem

A test of the null hypothesis that a hazard rate is monotone nondecreasing, versus the alternative that it is not, is proposed. Both the test statistic and the means of calibrating it are new. Unlike previous approaches, neither is based on…

统计理论 · 数学 2007-06-13 Peter Hall , Ingrid Van Keilegom

Cognitive diagnosis models have been popularly used in fields such as education, psychology, and social sciences. While parametric likelihood estimation is a prevailing method for fitting cognitive diagnosis models, nonparametric…

统计理论 · 数学 2025-10-01 Chengyu Cui , Yanlong Liu , Gongjun Xu

Standard uncertainty estimation techniques, such as dropout, often struggle to clearly distinguish reliable predictions from unreliable ones. We attribute this limitation to noisy classifier weights, which, while not impairing overall…

机器学习 · 计算机科学 2025-06-09 Haripriya Harikumar , Santu Rana

The nonparametric formulation of density-based clustering, known as modal clustering, draws a correspondence between groups and the attraction domains of the modes of the density function underlying the data. Its probabilistic foundation…

统计方法学 · 统计学 2020-10-27 Federico Ferraccioli , Giovanna Menardi

Given a random sample from a multivariate population, estimating the number of large eigenvalues of the population covariance matrix is an important problem in Statistics with wide applications in many areas. In the context of Principal…

统计理论 · 数学 2020-11-10 Abhinav Chakraborty , Soumendu Sundar Mukherjee , Arijit Chakrabarti

Fields like public health, public policy, and social science often want to quantify the degree of dependence between variables whose relationships take on unknown functional forms. Typically, in fact, researchers in these fields are…

统计理论 · 数学 2019-12-10 Octavio César Mesner , Cosma Rohilla Shalizi

For covariance test in functional data analysis, existing methods are developed only for fully observed curves, whereas in practice, trajectories are typically observed discretely and with noise. To bridge this gap, we employ a…

统计方法学 · 统计学 2026-04-20 Yang Zhou , Jin Yang , Fang Yao

In the near future, millions of load curves measuring the electricity consumption of French households in small time grids (probably half hours) will be available. All these collected load curves represent a huge amount of information which…

统计方法学 · 统计学 2015-01-20 Hervé Cardot , Anne De Moliner , Camelia Goga

Time- and state-domain methods are two common approaches for nonparametric prediction. The former predominantly uses the data in the recent history while the latter mainly relies on historical information. The question of combining these…

统计理论 · 数学 2007-06-13 Jianqing Fan , Yingying Fan , Jiancheng Jiang

Uncertainty quantification is essential in decision-making, especially when joint distributions of random variables are involved. While conformal prediction provides distribution-free prediction sets with valid coverage guarantees, it…

机器学习 · 计算机科学 2025-01-03 Rui Luo , Zhixin Zhou

In this paper, we calculate estimates for invariant metrics on a finite type convex domain in $\mathbb C^n$ using the Sibony metric. We also discuss a possible modification of the Sibony metric.

复变函数 · 数学 2009-11-13 Lina Lee

We consider the problem of detecting a small subset of defective items from a large set via non-adaptive "random pooling" group tests. We consider both the case when the measurements are noiseless, and the case when the measurements are…

信息论 · 计算机科学 2011-07-25 Chun Lam Chan , Pak Hou Che , Sidharth Jaggi , Venkatesh Saligrama

We propose a new inference framework, named MOSAIC, for change-point detection in dynamic networks with the simultaneous low-rank and sparse-change structure. We establish the minimax rate of detection boundary, which relies on the sparsity…

机器学习 · 统计学 2025-09-09 Yingying Fan , Jingyuan Liu , Jinchi Lv , Ao Sun

Centrality is an important notion in network analysis and is used to measure the degree to which network structure contributes to the importance of a node in a network. While many different centrality measures exist, most of them apply to…

计算机与社会 · 计算机科学 2010-06-04 Kristina Lerman , Rumi Ghosh , Jeon Hyung Kang

Continuous biomarkers are common for disease screening and diagnosis. To reach a dichotomous clinical decision, a threshold would be imposed to distinguish subjects with disease from non-diseased individuals. Among various performance…

统计方法学 · 统计学 2021-04-21 Ziyi Li , Yijuan Huang , Dattatraya Patil , Martin G. Sanda

Increased variability in performance has been associated with the emergence of several neurological and psychiatric pathologies. However, whether and how consistency of neuronal activity may also be indicative of an underlying pathology is…

神经元与认知 · 定量生物学 2014-10-31 J. H. Martínez , J. M. Pastor , P. Ariza , M. Zanin , D. Papo , F. Maestú , R. Bajo , S. Boccaletti , J. M. Buldú

Quantifying numerical data involves addressing two key challenges: first, determining whether the data can be naturally quantified, and second, identifying the numerical intervals or ranges of values that correspond to specific value…

数据分析、统计与概率 · 物理学 2025-11-21 Anton Kolonin

Non-concave penalized maximum likelihood methods, such as the Bridge, the SCAD, and the MCP, are widely used because they not only do parameter estimation and variable selection simultaneously but also have a high efficiency as compared to…

统计方法学 · 统计学 2015-12-31 Yuta Umezu , Yusuke Shimizu , Hiroki Masuda , Yoshiyuki Ninomiya

Mutual Information (MI) and Conditional Mutual Information (CMI) are multi-purpose tools from information theory that are able to naturally measure the statistical dependencies between random variables, thus they are usually of central…

机器学习 · 计算机科学 2022-11-22 Bao Duong , Thin Nguyen