Poisson Weighted Ishita Distribution: Model for Analysis of Over-Dispersed Medical Count Data Cover Image

Poisson Weighted Ishita Distribution: Model for Analysis of Over-Dispersed Medical Count Data
Poisson Weighted Ishita Distribution: Model for Analysis of Over-Dispersed Medical Count Data

Author(s): Bilal Ahmad Para, Tariq Rashid Jan
Subject(s): Business Economy / Management
Published by: Główny Urząd Statystyczny
Keywords: compounding model; coverage probability; simulation; count data; epileptic seizure counts

Summary/Abstract: A new over-dispersed discrete probability model is introduced, by compounding the Poisson distribution with the weighted Ishita distribution. The statistical properties of the newly introduced distribution have been derived and discussed. Parameter estimation has been done with the application of the maximum likelihood method of estimation, followed by the Monte Carlo simulation procedure to examine the suitability of the ML estimators. In order to verify the applicability of the proposed distribution, a real-life set of data from the medical field has been analysed for modeling a count dataset representing epileptic seizure counts.

  • Issue Year: 21/2020
  • Issue No: 3
  • Page Range: 171-184
  • Page Count: 14
  • Language: English
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