A Retrospective Study on Skellam and Related Distributions

Tomy, Lishamol; Veena, G

doi:10.17713/ajs.v51i1.1224

AJS

2022

DOI: 10.17713/ajs.v51i1.1224

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A Retrospective Study on Skellam and Related Distributions

Lishamol Tomy¹,

G Veena²

Abstract: This paper reviews works on Skellam distribution, its extensions and areas of applications. Available literature shows that this distribution is flexible for modelling integer data where they appear as count data or paired count data in the field of finance, medicine, sports, and science. Bivariate Skellam distribution, dynamic Skellam model and other extensions are also discussed and additional literature are provided.

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Cited by 5 publications

References 25 publications

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A Tutorial on Applying the Difference-in-Differences Method to Health Data

Rothbard,

Etheridge,

Murray

2023

Curr Epidemiol Rep

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Purpose of Review Difference-in-differences analyses are a useful tool for estimating group-level decisions, such as policy changes, training programs, or other non-randomized interventions, on outcomes which occur within the intervention group. However, there is little practical advice on how to apply difference-in-differences to epidemiologic and health data. Here, we provide a tutorial on applying the difference-in-differences method to health services data, targeted at epidemiologists and other biomedical researchers. Recent Findings As epidemiologists increasingly engage in policy discussions, familiarity with difference-in-differences will be increasingly important. However, much of the literature on difference-in-differences is limited to econometrics examples where the types of data and questions encountered may differ from health research. There remain limited resources for epidemiologists and other medical researchers to learn how to implement difference-in-differences analyses without first having to familiarize themselves with econometric terminology and concepts. Summary This tutorial contains synthetic data, code, and worksheets for class instruction. We provide a step-by-step description of the difference-in-differences analysis including sensitivity checks, modeling decisions, and interpretation. In addition, we supply novel guidance on modeling difference-in-differences outcomes for count or score outcomes.

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A Tutorial on Applying the Difference-in-Differences Method to Health Data

Rothbard,

Etheridge,

Murray

2023

Curr Epidemiol Rep

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Z-valued time series: Models, properties and comparison

Li,

Chen,

Zhu

2024

Journal of Statistical Planning and Inference

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Modelling ℤ-valued time series with Skellam thinning-based INAR(1) process

Kang,

Song,

Zhang

et al. 2024

Applied Economics

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A Retrospective Study on Skellam and Related Distributions

Cited by 5 publications

References 25 publications

A Tutorial on Applying the Difference-in-Differences Method to Health Data

A Tutorial on Applying the Difference-in-Differences Method to Health Data

Z-valued time series: Models, properties and comparison

Modelling ℤ-valued time series with Skellam thinning-based INAR(1) process

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