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MODELLING DIRECTIONAL DATA WITH WRAPPED CHRIS-JERRY DISTRIBUTION IN GEOLOGICAL AND MEDICAL DOMAINS
Keywords:
directional statistics, Chris-Jerry distribution, wrapping, circular, MLEDOI:
https://doi.org/10.17654/0972361725028Abstract
In this research, we model a more adaptable paradigm for evaluating circular datasets by creating a new circular distribution by wrapping the Chris-Jerry distribution around the unit circle. The study provides insights into the features of this new circular distribution by examining properties of the wrapped Chris-Jerry distribution, such as means, skewness and kurtosis enhancing our comprehension of circular data patterns. Using maximum likelihood estimate, the distribution parameters have been determined. In order to assess the importance and dominance of the distribution, this is applied to three actual datasets. The relevance of the new distribution is validated by its practical use in real world circumstances, such as evaluating its goodness of fit with actual datasets which shows its consistent performance and reliability in comparison with other distributions.
Received: October 1, 2024
Revised: November 29, 2024
Accepted: January 18, 2025
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