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The paper proposes a latent variable model for binary data coming from an unobserved heterogeneous population. The heterogeneity is taken into account by replacing the traditional assumption of Gaussian distributed factors by a finite…

统计方法学 · 统计学 2010-10-13 Silvia Cagnone , Cinzia Viroli

A nonhomogeneous hidden semi-Markov model is proposed to segment toroidal time series according to a finite number of latent regimes and, simultaneously, estimate the influence of time-varying covariates on the process' survival under each…

应用统计 · 统计学 2023-12-25 Francesco Lagona , Marco Mingione

In the analysis of count data often the equidispersion assumption is not suitable, hence the Poisson regression model is inappropriate. As a generalization of the Poisson distribution, the COM-Poisson distribution can deal with under-,…

Data analysis based on information from several sources is common in economic and biomedical studies. This setting is often referred to as the data fusion problem, which differs from traditional missing data problems since no complete data…

统计方法学 · 统计学 2022-04-07 Wei Li , Shanshan Luo , Wangli Xu

It is common to conduct causal inference in matched observational studies by proceeding as though treatment assignments within matched sets are assigned uniformly at random and using this distribution as the basis for inference. This…

统计方法学 · 统计学 2023-11-14 Samuel D. Pimentel , Yaxuan Huang

Multivariate normal mixtures provide a flexible model for high-dimensional data. They are widely used in statistical genetics, statistical finance, and other disciplines. Due to the unboundedness of the likelihood function, classical…

统计理论 · 数学 2008-05-27 Jiahua Chen , Xianming Tan

A Bayesian multivariate model with a structured covariance matrix for multi-way nested data is proposed. This flexible modeling framework allows for positive and for negative associations among clustered observations, and generalizes the…

统计方法学 · 统计学 2024-08-27 Stef Baas , Richard J. Boucherie , Jean-Paul Fox

This paper deals with the problem of estimating variables in nonlinear models for the spread of disease and its application to the COVID-19 epidemic. First unconstrained methods are revisited and they are shown to correspond to the…

最优化与控制 · 数学 2020-08-20 Mauricio C. de Oliveira

This paper investigates two environmental applications related to climate change, where observations consist of bounded counts. The binomial and beta-binomial (BB) models are commonly used for bounded count data, with the BB model offering…

In the era of open data, Poisson and other count regression models are increasingly important. Still, conventional Poisson regression has remaining issues in terms of identifiability and computational efficiency. Especially, due to an…

统计方法学 · 统计学 2022-01-19 Daisuke Murakami , Tomoko Matsui

We give convergence guarantees for estimating the coefficients of a symmetric mixture of two linear regressions by expectation maximization (EM). In particular, we show that the empirical EM iterates converge to the target parameter vector…

机器学习 · 统计学 2018-10-17 Jason M. Klusowski , Dana Yang , W. D. Brinda

In social sciences, studies are often based on questionnaires asking participants to express ordered responses several times over a study period. We present a model-based clustering algorithm for such longitudinal ordinal data. Assuming…

统计方法学 · 统计学 2024-01-29 Francesco Amato , Julien Jacques , Isabelle Prim-Allaz

In a Cox model, the partial likelihood, as the product of a series of conditional probabilities, is used to estimate the regression coefficients. In practice, those conditional probabilities are approximated by risk score ratios based on a…

统计方法学 · 统计学 2025-02-27 Youngjin Cho , Yili Hong , Pang Du

In this paper, we propose a new Bayesian Poisson network autoregression mixture model (PNARM). Our model combines ideas from the models of Dahl 2008, Ren et al. 2024 and Armillotta and Fokianos 2024, as it is motivated by the following…

统计方法学 · 统计学 2024-11-22 Elly Hung , Anastasia Mantziou , Gesine Reinert

The Poisson distribution is the default choice of likelihood for probabilistic models of count data. However, due to the equidispersion contraint of the Poisson, such models may have predictive uncertainty that is artificially inflated.…

统计方法学 · 统计学 2025-07-15 Jimmy Lederman , Aaron Schein

This article presents a holistic compound Poisson regression model framework to forecast number of corner kicks taken in association football. Corner kick taken events are often decisive in the match outcome and inherently arrive in batch…

应用统计 · 统计学 2023-11-08 Stan Yip , Yinghong Zou , Ronald Tsz Hin Hung , Ka Fai Cedric Yiu

We present a flexible Bayesian semiparametric mixed model for longitudinal data analysis in the presence of potentially high-dimensional categorical covariates. Building on a novel hidden Markov tensor decomposition technique, our proposed…

统计方法学 · 统计学 2022-08-05 Giorgio Paulon , Peter Müller , Abhra Sarkar

Panel count data is common when the study subjects are exposed to recurrent events, observed only at discrete time points. In this article, we consider the regression analysis of panel count data with multiple modes of recurrence. We…

统计方法学 · 统计学 2021-07-06 Sreedevi E. P. , Sankaran P. G.

Interval-censored multi-state data arise in many studies of chronic diseases, where the health status of a subject can be characterized by a finite number of disease states and the transition between any two states is only known to occur…

统计方法学 · 统计学 2022-09-19 Yu Gu , Donglin Zeng , Gerardo Heiss , D. Y. Lin

Clinical machine learning applications are often plagued with confounders that are clinically irrelevant, but can still artificially boost the predictive performance of the algorithms. Confounding is especially problematic in mobile health…

应用统计 · 统计学 2018-11-29 Elias Chaibub Neto