A longitudinal Bayesian mixed effects model with hurdle Conway-Maxwell-Poisson distribution. [PDF]
Stat Med, 2021 Dental caries (i.e., cavities) is one of the most common chronic childhood diseases and may continue to progress throughout a person's lifetime. The Iowa Fluoride Study (IFS) was designed to investigate the effects of various fluoride, dietary and nondietary factors on the progression of dental caries among a cohort of Iowa school children.
Kang T, Gaskins J, Levy S, Datta S.
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A homogeneously weighted moving average control chart for Conway-Maxwell Poisson distribution. [PDF]
J Appl Stat, 2022 The homogeneously weighted moving average (HWMA) control chart is a new memory-type chart that allocates a specific weight to the current sample and the remaining weight is distributed equally to the previous samples. In this paper, the HWMA control chart is proposed for monitoring count data.
Adeoti OA +3 more
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Assessing the effectiveness of the ZICOMP-Shewhart control chart for monitoring zero-inflated processes [PDF]
Scientific ReportsThe zero-inflated Conway-Maxwell Poisson (ZICOMP) distribution models count data with many zero observations. This distribution assumes that zero observations occur with probability $$\:p$$ , and the count of nonconformities in a product unit follows the
Aqsa Sattar +5 more
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Analyzing longitudinal clustered count data with zero inflation: Marginal modeling using the Conway-Maxwell-Poisson distribution. [PDF]
Biom J, 2021 AbstractBiological and medical researchers often collect count data in clusters at multiple time points. The data can exhibit excessive zeros and a wide range of dispersion levels. In particular, our research was motivated by a dental dataset with such complex data features: the Iowa Fluoride Study (IFS).
Kang T, Levy SM, Datta S.
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A Conway–Maxwell–Poisson Type Generalization of Hypergeometric Distribution
Mathematics, 2023 The hypergeometric distribution has gained its importance in practice as it pertains to sampling without replacement from a finite population. It has been used to estimate the population size of rare species in ecology, discrete failure rate in ...
Sudip Roy +2 more
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Marginal regression models for clustered count data based on zero-inflated Conway-Maxwell-Poisson distribution with applications. [PDF]
Biometrics, 2016 Summary Community water fluoridation is an important public health measure to prevent dental caries, but it continues to be somewhat controversial. The Iowa Fluoride Study (IFS) is a longitudinal study on a cohort of Iowa children that began in 1991.
Choo-Wosoba H, Levy SM, Datta S.
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Analyzing clustered count data with a cluster specific random effect zero-inflated Conway-Maxwell-Poisson distribution. [PDF]
J Appl Stat, 2018 Count data analysis techniques have been developed in biological and medical research areas. In particular, zero-inflated versions of parametric count distributions have been used to model excessive zeros that are often present in these assays. The most common count distributions for analyzing such data are Poisson and negative binomial.
Choo-Wosoba H, Datta S.
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Bayesian Inference, Model Selection and Likelihood Estimation using Fast Rejection Sampling: The Conway-Maxwell-Poisson Distribution [PDF]
Bayesian Analysis, 2021 Bayesian inference for models with intractable likelihood functions represents a challenging suite of problems in modern statistics. In this work we analyse the Conway-Maxwell-Poisson (COM-Poisson) distribution, a two parameter generalisation of the Poisson distribution.
Nial Friel
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Compound Conway-Maxwell Poisson Gamma Distribution: Properties and Estimation
Austrian Journal of StatisticsThe distribution of a random sum of random events is called a compound distribution. It involves a counting (discrete) distribution to model the number of occurrences of the random event in a fixed time period and a continuous distribution to model the ...
Jahnavi Merupula, V S Vaidyanathan
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Analysis of discrete data by Conway–Maxwell Poisson distribution [PDF]
AStA Advances in Statistical Analysis, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gupta, Ramesh C., Sim, S. Z., Ong, S. H.
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