Comparison of methods of estimation for parameters of generalized Poisson distribution through simulation study

Wagh, Yogita S.; Kamalja, Kirtee K.

doi:10.1080/03610918.2015.1105971

Cited by 3 publications

(1 citation statement)

References 53 publications

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“…25 A brief review on methodologies, used in the analysis of semicontinuous and zero-modified count data, with a particular focus on two-component mixture models was discussed by Neelon et al, 26 and illustrative examples of the twocomponent mixture models are discussed in Neelon et al 27 Further, another brief overview of different ZIP probability distributions and the performance of their estimates was presented by Wagh and Kamalja. 28,29 Hence, the aforementioned review studies are about zero-inflated models and their estimations. However, in literature, there does not exist any overview study related to the statistical process monitoring (SPM) and decision plans under these models, in the best of our knowledge.…”

Section: The Zero-inflated Negative Binomial (Zinb) Distributionmentioning

confidence: 99%

Models and monitoring of zero‐inflated processes: The past and current trends

Mahmood

Xie

2019

Quality & Reliability Eng

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As product quality has increased rapidly in recent years, monitoring and control of products have become more and more difficult. The items were produced with zero defects, and zero‐inflated distributions are used to fit the defect count data. Recently, many studies were designed for the estimation and monitoring methods based on the zero‐inflated distributions. As zero‐inflated models are useful in the modeling of high‐yield and rare health‐related processes, so, the stated study is designed to provide a summary of past and current trends of monitoring methods under the zero‐inflated models. Moreover, a review is done on the several zero‐inflated models and their applications in different industries. Finally, some future directions are also highlighted to overcome existing unsolved issues.

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Section: The Zero-inflated Negative Binomial (Zinb) Distributionmentioning

confidence: 99%

Models and monitoring of zero‐inflated processes: The past and current trends

Mahmood

Xie

2019

Quality & Reliability Eng

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Zero-inflated models and estimation in zero-inflated Poisson distribution

Wagh

Kamalja

2017

Communications in Statistics - Simulation and Computation

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BACKGROUND According to the World Health Organization, there are approximately one million cases of tuberculosis in the world's child population, and the disease is responsible for 130.000 deaths per year, which makes tuberculosis one of the top 10 causes of death in children in the world. The objective of the study was to identify areas of risk for the appearance of tuberculosis in children and their association with social inequalities in a municipality in southeastern Brazil. METHODS Ecological study conducted in Ribeirão Preto, Brazil. To identify areas of spatial risk for tuberculosis in children, we use the technique of spatial scanning statistics. To analyze the association of cases of childhood tuberculosis with social vulnerability, the Social Vulnerability Index of São Paulo was used and four explanatory statistical models were listed. RESULTS 96 cases of childhood tuberculosis were reported, of which 90 were geocoded. A risk area was identi ed in the municipality, where children under 15 years old have 3.14 times more risk of contracting tuberculosis than outside this area. Of the models tested, the Zero-In ated Poisson probability distribution was the one that best suited the nature of the variables. The variables identi ed as risk factors were: number of private and collective households; Proportion of children aged 0 to 5 in the population; Proportion of households without per capita income; Proportion of private households with monthly nominal incomes of up to 1/4 minimum wages. The variables identi ed as possible protection factors, there was a proportion of women responsible for the household under 30 and an average income of women responsible for the household. CONCLUSION The study showed areas of risk for the occurrence of tuberculosis in children. Although the study was conducted in a city with satisfactory social indicators, income distribution is quite uneven, as the ndings reveal. The study is in line with the End TB Strategy and the 2030 agenda, which aims to support strategic actions and, therefore, save the lives of children through the systematic, intensi ed and comprehensive search of children with tuberculosis respiratory symptoms in the community.

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Socio-environmental predictors of diabetes incidence disparities in Tanzania mainland: a comparison of regression models for count data

Mbwambo,

Mbago,

Rao

2024

BMC Med Res Methodol

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Background Diabetes is one of the top four non-communicable diseases that cause death and illness to many people around the world. This study aims to use an efficient count data model to estimate socio-environmental factors associated with diabetes incidences in Tanzania mainland, addressing lack of evidence on the efficient count data model for estimating factors associated with disease incidences disparities. Methods This study analyzed diabetes counts in 184 Tanzania mainland councils collected in 2020. The study applied generalized Poisson, negative binomial, and Poisson count data models and evaluated their adequacy using information criteria and Pearson chi-square values. Results The data were over-dispersed, as evidenced by the mean and variance values and the positively skewed histograms. The results revealed uneven distribution of diabetes incidence across geographical locations, with northern and urban councils having more cases. Factors like population, GDP, and hospital numbers were associated with diabetes counts. The GP model performed better than NB and Poisson models. Conclusion The occurrence of diabetes can be attributed to geographical locations. To address this public health issue, environmental interventions can be implemented. Additionally, the generalized Poisson model is an effective tool for analyzing health information system count data across different population subgroups.

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Comparison of methods of estimation for parameters of generalized Poisson distribution through simulation study

Cited by 3 publications

References 53 publications

Models and monitoring of zero‐inflated processes: The past and current trends

Models and monitoring of zero‐inflated processes: The past and current trends

Zero-inflated models and estimation in zero-inflated Poisson distribution

Socio-environmental predictors of diabetes incidence disparities in Tanzania mainland: a comparison of regression models for count data

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