<p>We have proposed a new wrapped probability distribution called wrapped Garima distribution, and we have determined the functional form and analyzed the distribution’s structural aspects. We estimated the distribution parameters using the maximum likelihood estimation method and verified the accuracy of these estimates through simulation studies. The suitability and adaptability of the proposed wrapped Garima distribution are further evaluated and justified through model building through two real datasets. The results show that the wrapped Garima distribution fits better than other sets of competing distributions available in the literature in terms of its goodness of fit. Hence, the novelty and importance of the proposed distribution is established empirically through its capacity to effectively capture both uniformity and directional concentration, providing improved flexibility for modeling circular data. Although the proposed wrapped Garima distribution can be applied to a broad range of circular data in many areas, this study uses environmental and ecological datasets to demonstrate its utility in modeling directional phenomena in the real world where such modeling has considerable practical impact, such as the homing behaviors of sea stars and enhancing the quality of climate analysis.</p>

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Wrapped Garima Distribution: A Circular Modeling Approach for Ecological and Environmental Data

  • K. M. Sakthivel,
  • Alicia Mathew

摘要

We have proposed a new wrapped probability distribution called wrapped Garima distribution, and we have determined the functional form and analyzed the distribution’s structural aspects. We estimated the distribution parameters using the maximum likelihood estimation method and verified the accuracy of these estimates through simulation studies. The suitability and adaptability of the proposed wrapped Garima distribution are further evaluated and justified through model building through two real datasets. The results show that the wrapped Garima distribution fits better than other sets of competing distributions available in the literature in terms of its goodness of fit. Hence, the novelty and importance of the proposed distribution is established empirically through its capacity to effectively capture both uniformity and directional concentration, providing improved flexibility for modeling circular data. Although the proposed wrapped Garima distribution can be applied to a broad range of circular data in many areas, this study uses environmental and ecological datasets to demonstrate its utility in modeling directional phenomena in the real world where such modeling has considerable practical impact, such as the homing behaviors of sea stars and enhancing the quality of climate analysis.