A new two-parameter discrete poisson-generalized Lindley distribution with properties and applications to healthcare data sets

Emrah Altun ()
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Emrah Altun: Bartin University

Computational Statistics, 2021, vol. 36, issue 4, No 20, 2861 pages

Abstract: Abstract Mixed-Poisson distributions have been used in many fields for modeling the over-dispersed count data sets. To open a new opportunity in modeling the over-dispersed count data sets, we introduce a new mixed-Poisson distribution using the generalized Lindley distribution as a mixing distribution. The moment and probability generating functions, factorial moments as well as skewness, and kurtosis measures are derived. Using the mean-parametrized version of the proposed distribution, we introduce a new count regression model which is an appropriate model for over-dispersed counts. The healthcare data sets are analyzed employing a new count regression model. We conclude that the new regression model works well in the case of over-dispersion.

Keywords: Exact distribution theory; Generalized linear models; Count data; Over-dispersion (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00180-021-01097-0

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