MODELLING DIRECTIONAL DATA WITH WRAPPED CHRIS-JERRY DISTRIBUTION IN GEOLOGICAL AND MEDICAL DOMAINS

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.

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Publication Details

Journal
Advances and Applications in Statistics
Published
2025-03-08
DOI
https://doi.org/10.17654/0972361725028
Primary Topic
Soil Geostatistics and Mapping
Type
article
Field-Weighted Citation Impact
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article

MODELLING DIRECTIONAL DATA WITH WRAPPED CHRIS-JERRY DISTRIBUTION IN GEOLOGICAL AND MEDICAL DOMAINS

Abraham Mathew, K. Sakthivel
Advances and Applications in Statistics
Soil Geostatistics and Mapping
article

MODELLING DIRECTIONAL DATA WITH WRAPPED CHRIS-JERRY DISTRIBUTION IN GEOLOGICAL AND MEDICAL DOMAINS

Abraham Mathew, K. Sakthivel
article en

Abstract

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.

Advances and Applications in StatisticsVol. 92(5)
Openalex Percentile: Top 97%
Soil Geostatistics and Mapping
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