On wrapping a new version of Lindley distribution for circular data analysis

Ahmed M. Gemeay & Ahmed M. T. Abd El-Bar

Environmental and Ecological Statistics2026https://doi.org/10.1007/s10651-025-00702-5article
ABDC A
Weight
0.50

Abstract

The wrapped approach is one of the most widely used methods for constructing circular distributions. In this work, we introduce a novel circular distribution generated from wrapping a new XLindley density on the real line around a circle. We have found formulas for the probability density function, the cumulative density function, the characteristic function, the trigonometric moments, and other related descriptive measures of our new model. Our model’s parameters have been estimated using sixteen different estimation techniques. Additionally, the performance of the recommended estimation methods is investigated and assessed through numerical simulation. To clarify the recommended model’s modeling capability, the model is finally fitted to two real-life circular data sets, and its performance is contrasted with that of other models.

Open via your library →

Cite this paper

https://doi.org/https://doi.org/10.1007/s10651-025-00702-5

Or copy a formatted citation

@article{ahmed2026,
  title        = {{On wrapping a new version of Lindley distribution for circular data analysis}},
  author       = {Ahmed M. Gemeay & Ahmed M. T. Abd El-Bar},
  journal      = {Environmental and Ecological Statistics},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1007/s10651-025-00702-5},
}

Paste directly into BibTeX, Zotero, or your reference manager.

Flag this paper

On wrapping a new version of Lindley distribution for circular data analysis

Flags are reviewed by the Arbiter methodology team within 5 business days.


Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.