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Related papers: A spatial scan statistic for zero-inflated Poisson…

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An expectation-based scan statistic is proposed for the prospective monitoring of spatio-temporal count data with an excess of zeros. The method, which is based on an outbreak model for the zero-inflated Poisson distribution, is shown to be…

Methodology · Statistics 2017-12-27 Benjamin Allévius , Michael Höhle

The spatial scan statistic is widely used in epidemiology and medical studies as a tool to identify hotspots of diseases. The classical spatial scan statistic assumes the number of disease cases in different locations have independent…

Applications · Statistics 2009-09-29 Ji Meng Loh , Zhengyuan Zhu

Zero-inflated count data arise in various fields, including health, biology, economics, and the social sciences. These data are often modelled using probabilistic distributions such as zero-inflated Poisson (ZIP), zero-inflated negative…

Methodology · Statistics 2025-03-31 Zahra AghahosseinaliShirazi , Pedro A. Rangel , Camila P. E. de Souza

This paper introduces a new spatial scan statistic designed to adjust cluster detection for longitudinal confounding factors indexed in space. The functional-model-adjusted statistic was developed using generalized functional linear models…

Methodology · Statistics 2019-03-05 Michael Genin , Mohamed-Salem Ahmed

This paper proposes a new generalized linear model with the fractional binomial distribution. Zero-inflated Poisson/negative binomial distributions are used for count data with many zeros. To analyze the association of such a count variable…

Methodology · Statistics 2025-08-01 Jeonghwa Lee , Chloe Breece

This paper describes a compound Poisson-based random effects structure for modeling zero-inflated data. Data with large proportion of zeros are found in many fields of applied statistics, for example in ecology when trying to model and…

Applications · Statistics 2009-07-29 Marie-Pierre Etienne , Eric Parent , Benoit Hugues , Bernier Jacques

Count data are common in medical research. When these data have more zeros than expected by the most used count distributions, it is common to employ a zero-inflated regression model. However, the interpretability of these models is much…

Methodology · Statistics 2025-09-30 Gustavo H. A. Pereira , Jeremias Leão , Manoel Santos-Neto , Jianwen Cai

The Poisson distribution is often used as a standard model for count data. Quite often, however, such data sets are not well fit by a Poisson model because they have more zeros than are compatible with this model. For these situations, a…

Statistics Theory · Mathematics 2008-12-18 M. J. Bayarri , James O. Berger , Gauri S. Datta

Ecological studies involving counts of abundance, presence-absence or occupancy rates often produce data having a substantial proportion of zeros. Furthermore, these types of processes are typically multivariate and only adequately…

Methodology · Statistics 2011-05-17 Ali Arab , Scott H. Holan , Christopher K. Wikle , Mark L. Wildhaber

Spatial scan statistics are well-known methods for cluster detection and are widely used in epidemiology and medical studies for detecting and evaluating the statistical significance of disease hotspots. For the sake of simplicity, the…

Methodology · Statistics 2019-11-25 Mohamed-Salem Ahmed , Lionel Cucala , Michael Genin

Marginalized models are in great demand by most researchers in the life sciences particularly in clinical trials, epidemiology, health-economics, surveys and many others since they allow generalization of inference to the entire population…

Methodology · Statistics 2016-10-26 Samuel Iddi , Kwabena Doku-Amponsah

We have developed two scan statistics for detecting clusters of functional data indexed in space. The first method is based on an adaptation of a functional analysis of variance and the second one is based on a distribution-free spatial…

Methodology · Statistics 2021-03-10 Camille Frévent , Mohamed-Salem Ahmed , Matthieu Marbac , Michaël Genin

Background: Outcome measures that are count variables with excessive zeros are common in health behaviors research. There is a lack of empirical data about the relative performance of prevailing statistical models when outcomes are…

Applications · Statistics 2023-08-17 Zhengyang Zhou , Dateng Li , David Huh , Minge Xie , Eun-Young Mun

We have developed and tested a spatial scan statistic for categorical, functional data (CFSS) - a data structure within which current approaches cannot identify spatial clusters. Our methodology combines an encoding scheme for categorical,…

Methodology · Statistics 2026-03-03 Camille Frévent , Moustapha Sarr , Sophie Dabo-Niang

Most crowd counting methods directly regress blockwise density maps using Mean Squared Error (MSE) losses. This practice has two key limitations: (1) it fails to account for the extreme spatial sparsity of annotations - over 95% of 8x8…

Computer Vision and Pattern Recognition · Computer Science 2025-08-01 Yiming Ma , Victor Sanchez , Tanaya Guha

We propose a unified probabilistic framework for sparse count tensors with excess zeros, motivated by single-cell Hi-C data. The observed data are naturally represented as a three-way tensor indexed by genomic loci pairs and cells,…

Methodology · Statistics 2026-04-27 Elena Tuzhilina , Yaoming Zhen

Sparse Subspace Clustering (SSC) is a popular unsupervised machine learning method for clustering data lying close to an unknown union of low-dimensional linear subspaces; a problem with numerous applications in pattern recognition and…

Machine Learning · Computer Science 2019-07-19 Manolis C. Tsakiris , Rene Vidal

The spatial scan statistic is widely used to detect disease clusters in epidemiological surveillance. Since the seminal work by~\cite{kulldorff1997}, numerous extensions have emerged, including methods for defining scan regions, detecting…

Methodology · Statistics 2025-02-11 Takayuki Kawashima , Daisuke Yoneoka , Yuta Tanoue , Akifumi Eguchi , Shuhei Nomura

Multiple-scale and broad-scale assessments often require rescaling the original data to a consistent grain size for analysis. Rescaling categorical raster data by spatial aggregation is common in large area ecological assessments. However,…

Quantitative Methods · Quantitative Biology 2014-08-04 J. W. Coulston , N. Zaccarelli , K. H. Riitters , F. H. Koch , G. Zurlini

Count data with an excessive number of zeros frequently arise in fields such as economics, medicine, and public health. Traditional count models often fail to adequately handle such data, especially when the relationship between the…

Methodology · Statistics 2026-02-25 María José Llop , Andrea Bergesio , Anne-Françoise Yao
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