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An extension of the latent class model is presented for clustering categorical data by relaxing the classical "class conditional independence assumption" of variables. This model consists in grouping the variables into inter-independent and…

统计计算 · 统计学 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

Relational models for contingency tables are generalizations of log-linear models, allowing effects associated with arbitrary subsets of cells in a possibly incomplete table, and not necessarily containing the overall effect. In this…

统计方法学 · 统计学 2015-05-01 Anna Klimova , Tamás Rudas

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

最优化与控制 · 数学 2023-05-01 Antonio Alcántara , Carlos Ruiz

Missing data theory deals with the statistical methods in the occurrence of missing data. Missing data occurs when some values are not stored or observed for variables of interest. However, most of the statistical theory assumes that data…

统计方法学 · 统计学 2021-10-26 Luis Alejandro Masmela-Caita , Thais Paiva Galletti , Marcos Oliveira Prates

Advancements in data collection techniques and the heterogeneity of data resources can yield high percentages of missing observations on variables, such as block-wise missing data. Under missing-data scenarios, traditional methods such as…

统计方法学 · 统计学 2022-05-17 Wei Lan , Xuerong Chen , Tao Zou , Chih-Ling Tsai

Within Bayesian nonparametrics, dependent Dirichlet process mixture models provide a highly flexible approach for conducting inference about the conditional density function. However, several formulations of this class make either rather…

统计方法学 · 统计学 2024-05-14 María Xosé Rodríguez-Álvarez , Vanda Inácio , Nadja Klein

Copula models are flexible tools to represent complex structures of dependence for multivariate random variables. According to Sklar's theorem (Sklar, 1959), any d-dimensional absolutely continuous density can be uniquely represented as the…

统计方法学 · 统计学 2021-03-05 Clara Grazian , Luciana Dalla Valle , Brunero Liseo

We explore the use of a sufficient statistic based on the identified members that are obtained for samples that are selected under the $M_0$ capture-recapture closed population model (Schwarz and Seber, 1999). A Rao-Blackwellized version of…

统计方法学 · 统计学 2018-11-30 Kyle Vincent

We consider the challenges that arise when fitting complex ecological models to 'large' data sets. In particular, we focus on random effect models which are commonly used to describe individual heterogeneity, often present in ecological…

统计方法学 · 统计学 2022-05-17 Ruth King , Blanca Sarzo , Víctor Elvira

Camera traps enable the automatic collection of large quantities of image data. Ecologists use camera traps to monitor animal populations all over the world. In order to estimate the abundance of a species from camera trap data, ecologists…

计算机视觉与模式识别 · 计算机科学 2021-05-11 Sara Beery , Arushi Agarwal , Elijah Cole , Vighnesh Birodkar

In the presence of a missing response, reweighting the complete case subsample by the inverse of nonmissing probability is both intuitive and easy to implement. When the population totals of some auxiliary variables are known and when the…

统计方法学 · 统计学 2014-10-16 Kwun Chuen Gary Chan , Sheung Chi Phillip Yam

This article concerns a class of generalized linear mixed models for clustered data, where the random effects are mapped uniquely onto the grouping structure and are independent between groups. We derive necessary and sufficient conditions…

统计方法学 · 统计学 2017-09-20 Jarod Y. L. Lee , Peter J. Green , Louise M. Ryan

For Dual-record system, in the context of human population, the popular Chandrasekar-Deming model incorporates only the time variation effect on capture probabilities. How-ever, in practice population may undergo behavioral change after…

统计方法学 · 统计学 2015-04-30 Kiranmoy Chatterjee , Diganta Mukherjee

Continual Learning (CL) is essential for enabling self-evolving large language models (LLMs) to adapt and remain effective amid rapid knowledge growth. Yet, despite its importance, little attention has been given to establishing statistical…

机器学习 · 计算机科学 2025-10-29 Xiaofan Zhou , Lu Cheng

The cluster-weighted model (CWM) is a mixture model with random covariates which allows for flexible clustering and density estimation of a random vector composed by a response variable and by a set of covariates. In this class of models,…

统计方法学 · 统计学 2013-08-06 Salvatore Ingrassia , Antonio Punzo

Model selection is a central task in statistics, but standard methods are not robust in misspecified settings where the true data-generating process (DGP) is not in the set of candidate models. The key limitation is that existing methods --…

统计方法学 · 统计学 2026-03-10 Jongwoo Choi , Neil A. Spencer , Jeffrey W. Miller

Macro-level modeling is still the dominant approach in many demographic applications because of its simplicity. Individual-level models, on the other hand, provide a more comprehensive understanding of observed patterns; however, their…

应用统计 · 统计学 2023-12-14 Daniel Ciganda , Nicolas Todd

In systems biomedicine, an experimenter encounters different potential sources of variation in data such as individual samples, multiple experimental conditions, and multi-variable network-level responses. In multiparametric cytometry,…

In many complex applications, data heterogeneity and homogeneity exist simultaneously. Ignoring either one will result in incorrect statistical inference. In addition, coping with complex data that are non-Euclidean becomes more common. To…

统计方法学 · 统计学 2021-05-28 Zixuan Han , Tao Li , Jinhong You

Causality is essential for understanding complex systems, such as the economy, the brain, and the climate. Constructing causal graphs often relies on either data-driven or expert-driven approaches, both fraught with challenges. The former…