The wrapped Lindley-exponential distribution: properties and application in circular data appearing in geological context

Hazem Al-Mofleh; Hazem Al-Mofleh

doi:10.3934/math.2026055

AIMS Mathematics

2026, Volume 11, Issue 1: 1287-1310. doi: 10.3934/math.2026055

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The wrapped Lindley-exponential distribution: properties and application in circular data appearing in geological context

Hazem Al-Mofleh ^,

Department of Mathematics, Tafila Technical University, Tafila 66110, Jordan

Received: 20 November 2025 Revised: 05 January 2026 Accepted: 08 January 2026 Published: 16 January 2026
MSC : 62E10, 62F12

In this article, the circular (wrapped) version of Lindley-exponential (WRLE) distribution was introduced, and its different distributional, statistical, and mathematical properties were studied. The maximum likelihood method was used to estimate the model parameters. Simulation results were used to investigate the performance of the estimates. The importance of the proposed distribution was illustrated over: wrapped Lindley, wrapped exponential, new wrapped exponential, and the wrapped xgamma distributions by means of real directional data set.
- circular distribution,
- life distribution,
- trigonometric moments,
- Monte-Carlo simulation,
- axial data
Citation: Hazem Al-Mofleh. The wrapped Lindley-exponential distribution: properties and application in circular data appearing in geological context[J]. AIMS Mathematics, 2026, 11(1): 1287-1310. doi: 10.3934/math.2026055

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Abstract

In this article, the circular (wrapped) version of Lindley-exponential (WRLE) distribution was introduced, and its different distributional, statistical, and mathematical properties were studied. The maximum likelihood method was used to estimate the model parameters. Simulation results were used to investigate the performance of the estimates. The importance of the proposed distribution was illustrated over: wrapped Lindley, wrapped exponential, new wrapped exponential, and the wrapped xgamma distributions by means of real directional data set.

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