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In this paper, an alternative count distribution suitable for modeling over dispersed, zero vertex unimodality and monotonically decreasing data sets. Though the proposed probability model includes Gauss Hypergeometric special function, it…

Statistics Theory · Mathematics 2019-05-30 Deepesh Bhati , Ishfaq Shah Ahmad

The Tweedie Compound Poisson-Gamma model is routinely used for modeling non-negative continuous data with a discrete probability mass at zero. Mixed models with random effects account for the covariance structure related to the grouping…

Machine Learning · Statistics 2019-02-05 Yaodong Yang , Rui Luo , Yuanyuan Liu

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

Methodology · Statistics 2013-03-07 Cinzia Viroli

COVID-19 has led to excess deaths around the world, however it remains unclear how the mortality of other causes of death has changed during the pandemic. Aiming at understanding the wider impact of COVID-19 on other death causes, we study…

Applications · Statistics 2023-07-13 Wei Zhang , Antonietta Mira , Ernst C. Wit

In this paper, we consider survival analysis with right-censored data which is a common situation in predictive maintenance and health field. We propose a model based on the estimation of two-parameter Weibull distribution conditionally to…

Methodology · Statistics 2020-02-24 Achraf Bennis , Sandrine Mouysset , Mathieu Serrurier

Mixture models are widely used in Bayesian statistics and machine learning, in particular in computational biology, natural language processing and many other fields. Variational inference, a technique for approximating intractable…

Statistics Theory · Mathematics 2020-08-03 Badr-Eddine Chérief-Abdellatif , Pierre Alquier

This paper provides some extended results on estimating parameter matrix of several regression models when the covariate or response possesses weaker moment condition. We study the $M$-estimator of Fan et al. (Ann Stat 49(3):1239--1266,…

Statistics Theory · Mathematics 2022-09-08 Kangqiang Li , Songqiao Tang , Lixin Zhang

Investigating relationships between response variables and covariates in areas such as environmental science, geoscience, and public health is an important endeavor. Based on a Bayesian mixture of finite mixtures model, we present a novel…

Methodology · Statistics 2023-06-06 Peng Zhao , Hou-Cheng Yang , Dipak K. Dey , Guanyu Hu

Many of the data, particularly in medicine and disease mapping are count. Indeed, the under or overdispersion problem in count data distrusts the performance of the classical Poisson model. For taking into account this problem, in this…

Methodology · Statistics 2021-05-19 Mahsa Nadifar , Hossein Baghishani , Thomas Kneib , Afshin Fallah

Mendelian Randomization (MR) is a popular method in epidemiology and genetics that uses genetic variation as instrumental variables for causal inference. Existing MR methods usually assume most genetic variants are valid instrumental…

Applications · Statistics 2022-06-15 Daniel Iong , Qingyuan Zhao , Yang Chen

When modelling censored observations, a typical approach in current regression methods is to use a censored-Gaussian (i.e. Tobit) model to describe the conditional output distribution. In this paper, as in the case of missing data, we argue…

Machine Learning · Statistics 2022-05-05 Daniele Gammelli , Kasper Pryds Rolsted , Dario Pacino , Filipe Rodrigues

Interval censoring occurs when event times are only known to fall between scheduled assessments, a common design in clinical trials, epidemiology, and reliability studies. Standard right-censoring methods, such as Kaplan-Meier and Cox…

Methodology · Statistics 2025-09-04 J. T. Korley

The evolution of the COVID-19 epidemic has been accompanied by accumulating evidence on the underlying epidemiological parameters. Hence there is potential for models providing mid-term forecasts of the epidemic trajectory using such…

Applications · Statistics 2020-11-10 Peter Congdon

The density ratio model (DRM) is a semiparametric model that relates the distributions from multiple samples to a nonparametrically defined reference distribution via exponential tilting, with finite-dimensional parameters governing their…

Methodology · Statistics 2025-11-13 James Hugh McVittie , Archer Gong Zhang

This paper addresses challenges in flexibly modeling multimodal data that lie on constrained spaces. Such data are commonly found in spatial applications, such as climatology and criminology, where measurements are restricted to a…

Computation · Statistics 2019-12-03 Putu Ayu Sudyanti , Vinayak Rao

Poisson regression is a popular tool for modeling count data and is applied in a vast array of applications from the social to the physical sciences and beyond. Real data, however, are often over- or under-dispersed and, thus, not conducive…

Applications · Statistics 2010-11-10 Kimberly F. Sellers , Galit Shmueli

The study of animal behavioural states inferred through hidden Markov models and similar state switching models has seen a significant increase in popularity in recent years. The ability to account for varying levels of behavioural scale…

Computation · Statistics 2021-05-06 Giada Sacchi , Ben Swallow

A flexible semiparametric class of models is introduced that offers an alternative to classical regression models for count data as the Poisson and negative binomial model, as well as to more general models accounting for excess zeros that…

Methodology · Statistics 2020-03-30 Moritz Berger , Gerhard Tutz

Population dynamics models play an important role in a number of fields, such as actuarial science, demography, and ecology, as they help explain past fluctuations and predict future population. The accuracy of these models is often…

Methodology · Statistics 2025-11-06 Paolo Onorati , Sofia Ruiz-Suarez , Radu Craiu

Although the Cox proportional hazards model is well established and extensively used in the analysis of survival data, the proportional hazards (PH) assumption may not always hold in practical scenarios. The class of semiparametric…

Methodology · Statistics 2025-10-21 Junkai Yin , Yue Zhang , Zhangsheng Yu