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After reviewing a large body of literature on the modeling of bivariate discrete distributions with finite support, \cite{Gee20} made a compelling case for the use of $I$-projections in the sense of \cite{Csi75} as a sound way to attempt to…

统计方法学 · 统计学 2024-06-18 Ivan Kojadinovic , Tommaso Martini

Contrary to the actual nonlinear Glauber model (NLGM), the linear Glauber model (LGM) is exactly solvable, although the detailed balance condition is not generally satisfied. This motivates us to address the issue of writing the transition…

统计力学 · 物理学 2015-03-30 Shaon Sahoo , Soumya Kanti Ganguly

This paper introduces the modeling of circular data with excess zeros under a longitudinal framework, where the response is a circular variable and the covariates can be both linear and circular in nature. In the literature, various…

统计方法学 · 统计学 2026-01-21 Prajamitra Bhuyan , Soutik Halder , Jayant Jha

Vine pair-copula constructions exist for a mix of continuous and ordinal variables. In some steps, this can involve estimating a bivariate copula for a pair of mixed continuous-ordinal variables. To assess the adequacy of copula fits for…

统计方法学 · 统计学 2023-10-13 Shenyi Pan , Harry Joe

In certain privacy-sensitive scenarios within fields such as clinical trial simulations, federated learning, and distributed learning, researchers often face the challenge of estimating correlations between variables without access to…

统计方法学 · 统计学 2025-08-05 Longwen Shang , Min Tsao , Xuekui Zhang

A recommender system based on ranks is proposed, where an expert's ranking of a set of objects and a user's ranking of a subset of those objects are combined to make a prediction of the user's ranking of all objects. The rankings are…

机器学习 · 统计学 2018-02-12 Simon Guillotte , François Perron , Johan Segers

We propose a novel combinatorial inference framework to conduct general uncertainty quantification in ranking problems. We consider the widely adopted Bradley-Terry-Luce (BTL) model, where each item is assigned a positive preference score…

机器学习 · 统计学 2021-10-04 Yue Liu , Ethan X. Fang , Junwei Lu

Multi-type recurrent events are often encountered in medical applications when two or more different event types could repeatedly occur over an observation period. For example, patients may experience recurrences of multi-type nonmelanoma…

统计方法学 · 统计学 2021-06-10 Khaled F. Bedair , Yili Hong , Hussein R. Al-Khalidi

Traditional functional linear regression usually takes a one-dimensional functional predictor as input and estimates the continuous coefficient function. Modern applications often generate two-dimensional covariates, which become matrices…

统计方法学 · 统计学 2024-11-26 Dan Yang , Jianlong Shao , Haipeng Shen , Hongtu Zhu

We study the law of the iterated logarithm (LIL) for the maximum likelihood estimation of the parameters (as a convex optimization problem) in the generalized linear models with independent or weakly dependent ($\rho$-mixing, $m$-dependent)…

统计理论 · 数学 2020-04-28 Xiaowei Yang , Shuang Song , Huiming Zhang

This work is motivated by multimodality breast cancer imaging data, which is quite challenging in that the signals of discrete tumor-associated microvesicles (TMVs) are randomly distributed with heterogeneous patterns. This imposes a…

机器学习 · 统计学 2019-03-22 Xiwei Tang , Xuan Bi , Annie Qu

Dynamical processes in various natural and social phenomena have been described by a series of events or event sequences showing non-Poissonian, bursty temporal patterns. Temporal correlations in such bursty time series can be understood…

物理与社会 · 物理学 2019-08-21 Hang-Hyun Jo , Byoung-Hwa Lee , Takayuki Hiraoka , Woo-Sung Jung

We propose a novel approach for modeling multivariate longitudinal data in the presence of unobserved heterogeneity for the analysis of the Health and Retirement Study (HRS) data. Our proposal can be cast within the framework of linear…

统计方法学 · 统计学 2015-09-17 Laura Anderlucci , Cinzia Viroli

One reason why classical phylogenetic reconstruction methods fail to correctly infer the underlying topology is because they assume oversimplified models. In this paper we propose a topology reconstruction method consistent with the most…

种群与进化 · 定量生物学 2014-10-28 Jesús Fernández-Sánchez , Marta Casanellas

The Bradley-Terry-Luce (BTL) model is a classic and very popular statistical approach for eliciting a global ranking among a collection of items using pairwise comparison data. In applications in which the comparison outcomes are observed…

统计方法学 · 统计学 2022-11-30 Wanshan Li , Daren Wang , Alessandro Rinaldo

Linear mixed models (LMMs) are a popular class of methods for analyzing longitudinal and clustered data. However, such models can be sensitive to outliers, and this can lead to biased inference on model parameters and inaccurate prediction…

统计方法学 · 统计学 2025-03-28 Shonosuke Sugasawa , Francis K. C. Hui , Alan H. Welsh

For a portfolio of life insurance policies observed for a stated period of time, e.g., one year, mortality is typically a rare event. When we examine the outcome of dying or not from such portfolios, we have an imbalanced binary response.…

应用统计 · 统计学 2020-07-31 Shuang Yin , Dipak K. Dey , Emiliano A. Valdez , Guojun Gan , Jeyaraj Vadiveloo

This study focuses on the feature extraction problem in multi-modal data regression. To address three core challenges in real-world scenarios: limited and non-IID data, effective extraction and fusion of multi-modal information, and…

机器学习 · 计算机科学 2025-12-03 Haozhe Wu

Federated multi-task learning (FMTL) seeks to collaboratively train customized models for users with different tasks while preserving data privacy. Most existing approaches assume model congruity (i.e., the use of fully or partially…

机器学习 · 计算机科学 2026-02-03 Mehdi Setayesh , Mahdi Beitollahi , Yasser H. Khalil , Hongliang Li

As with classic statistics, functional regression models are invaluable in the analysis of functional data. While there are now extensive tools with accompanying theory available for linear models, there is still a great deal of work to be…

统计理论 · 数学 2018-06-25 Matthew Reimherr , Bharath Sriperumbudur , Bahaeddine Taoufik