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Partially recorded data are frequently encountered in many applications and usually clustered by first removing incomplete cases or features with missing values, or by imputing missing values, followed by application of a clustering…

Methodology · Statistics 2021-10-20 Emily M. Goren , Ranjan Maitra

The association between multidimensional exposure patterns and outcomes is commonly investigated by first applying cluster analysis algorithms to derive patterns and then estimating the associations. However, errors in the underlying…

Methodology · Statistics 2023-05-31 Timm Intemann , Iris Pigeot

Clustered data is ubiquitous in a variety of scientific fields. In this paper, we propose a flexible and interpretable modeling approach, called grouped heterogenous mixture modeling, for clustered data, which models cluster-wise…

Methodology · Statistics 2020-02-10 Shonosuke Sugasawa

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…

Methodology · Statistics 2026-01-21 Prajamitra Bhuyan , Soutik Halder , Jayant Jha

Mixed linear regression (MLR) has attracted increasing attention because of its great theoretical and practical importance in capturing nonlinear relationships by utilizing a mixture of linear regression sub-models. Although considerable…

Machine Learning · Statistics 2025-03-25 Yujing Liu , Zhixin Liu , Lei Guo

Research on cluster analysis for categorical data continues to develop, with new clustering algorithms being proposed. However, in this context, the determination of the number of clusters is rarely addressed. In this paper, we propose a…

Methodology · Statistics 2014-09-29 Cláudia Silvestre , Margarida G. M. S. Cardoso , Mário A. T. Figueiredo

Generalized linear models (GLMs) using a regression procedure to fit relationships between predictor and target variables are widely used in automobile insurance data. Here, in the process of ratemaking and in order to compute the premiums…

Applications · Statistics 2016-06-02 J. M. Pérez-Sánchez , E. Gómez-Déniz

Understanding the association between dietary patterns and health outcomes, such as the cancer risk, is crucial to inform public health guidelines and shaping future dietary interventions. However, dietary intake data present several…

Methodology · Statistics 2025-10-10 Blake Hansen , Dafne Zorzetto , Valeria Edefonti , Roberta De Vito

We consider the problem of inferring an unknown number of clusters in replicated multinomial data. Under a model based clustering point of view, this task can be treated by estimating finite mixtures of multinomial distributions with or…

Methodology · Statistics 2023-07-07 Panagiotis Papastamoulis

In many random phenomena, such as life-testing experiments and environmental data (like rainfall data), there are often positive values and an excess of zeros, which create modeling challenges. In life testing, immediate failures result in…

Methodology · Statistics 2025-02-28 Shivshankar Nila , Ishapathik Das , N. Balakrishna

Human microbiome studies based on genetic sequencing techniques produce compositional longitudinal data of the relative abundances of microbial taxa over time, allowing to understand, through mixed-effects modeling, how microbial…

Methodology · Statistics 2025-12-23 John Barrera , Cristian Meza , Ana Arribas-Gil

Regression models, where the response variable is circular, are common in areas such as biology, geology and meteorology. A typical model assumes that the conditional distribution of the response follows a von-Mises distribution. However,…

Methodology · Statistics 2026-01-12 Sphiwe B. Skhosana , Najmeh Nakhaei Rad

Causal mediation analysis is an important statistical tool to quantify effects transmitted by intermediate variables from a cause to an outcome. There is a gap in mediation analysis methods to handle mixture mediator data that are…

Methodology · Statistics 2025-07-22 Meilin Jiang , Seonjoo Lee , A. James O'Malley , Pengfei Li , Zhigang Li

We propose a Bayesian approach for model-based clustering of multivariate categorical data where variables are allowed to be associated within clusters and the number of clusters is unknown. The approach uses a two-layer mixture of finite…

Methodology · Statistics 2024-07-09 Gertraud Malsiner-Walli , Bettina Grün , Sylvia Frühwirth-Schnatter

In a wide variety of situations, anomalies in the behaviour of a complex system, whose health is monitored through the observation of a random vector X = (X1,. .. , X d) valued in R d , correspond to the simultaneous occurrence of extreme…

Methodology · Statistics 2019-07-18 Maël Chiapino , Stéphan Clémençon , Vincent Feuillard , Anne Sabourin

Cluster-weighted modeling (CWM) is a mixture approach for modeling the joint probability of a response variable and a set of explanatory variables. The parameters are estimated by means of the expectation-maximization algorithm according to…

Computation · Statistics 2013-08-09 Salvatore Ingrassia , Simona C. Minotti

In the framework of Bayesian model-based clustering based on a finite mixture of Gaussian distributions, we present a joint approach to estimate the number of mixture components and identify cluster-relevant variables simultaneously as well…

Methodology · Statistics 2016-06-23 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

Recent advancements in Mixed Integer Optimization (MIO) algorithms, paired with hardware enhancements, have led to significant speedups in resolving MIO problems. These strategies have been utilized for optimal subset selection,…

Methodology · Statistics 2024-03-27 Madhav Sankaranarayanan , Intekhab Hossain , Tom Chen

We propose a novel nonparametric Bayesian IRT model in this paper by introducing the clustering effect at question level and further assume heterogeneity at examinee level under each question cluster, characterized by the mixture of…

Methodology · Statistics 2022-11-23 Tianyu Pan , Weining Shen , Clintin P. Davis-Stober , Guanyu Hu

This paper deals with nonparametric estimation of conditional den-sities in mixture models in the case when additional covariates are available. The proposed approach consists of performing a prelim-inary clustering algorithm on the…

Statistics Theory · Mathematics 2015-02-09 Stéphane Auray , Nicolas Klutchnikoff , Laurent Rouvière