A Type-1 Imbalanced Bivariate Poisson Distribution Demystifies Patient’s Phobia Visiting Physician Often and Its Implications

  • Ramalingam ShanmugamEmail author
Original Article


In this article, a new bivariate Poisson distribution, called the type-1 imbalanced bivariate Poisson distribution, is introduced for dependence modeling among the random number of visits made by a patient and the number of prescriptions written by a physician. By utilizing the proposed model, the article discovers patterns on the implications of the over-visits made by the patients. This new discrete bivariate Poisson probability mass function is quite interesting and useful to the healthcare researchers. Its statistical properties are derived. The concepts and methodology around its imbalance parameter, \( \phi \), are constructed and illustrated using the Australian Health Survey data for 1997–1998. The data analytic results in the illustration demystify the implications when the patients make more visits to the physician.


Nuisance parameter Mean–variance relations Marginal distributions Correlation Survival function Hazard rate Chi-squared F-distribution 

Mathematics Subject Classification

60E05 62-O7 62F03 62P10 



The author sincerely appreciates and thanks a knowledgeable and much encouraging referee and the editor Dr. Sat Gupta for many valuable suggestions which enabled to improve the presentation and readability in the manuscript greatly.


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Copyright information

© Grace Scientific Publishing 2018

Authors and Affiliations

  1. 1.School of Health AdministrationTexas State UniversitySan MarcosUSA

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