The wrapped XLindley distribution

IF 3 4区环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES

Environmental and Ecological Statistics Pub Date : 2023-10-31 DOI:10.1007/s10651-023-00579-2

E. Zinhom, M. M. Nassar, S. S. Radwan, A. Elmasry

引用次数: 0

Abstract

Abstract In the study of many environmental phenomena, circular statistical analysis and applications to directional data are crucial. In this paper, we introduce the wrapped XLindley distribution, a novel circular distribution with a single parameter. We derive expressions for the distribution’s characteristic function, trigonometric moments, and other associated descriptive measures. The unknown distributional parameter is estimated using the maximum likelihood, least squares, and weighted least squares approach, and the accuracy of these estimates is tested using a simulation study. Finally, to clarify the suggested distribution’s modeling potential, we fit the proposed model to two circular real-world data sets and evaluate the goodness of fit of this distribution in comparison to the wrapped Lindley, wrapped modified Lindley, Von Mises, Jones–Pewsey, and Kato–Jones distributions.

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包装的XLindley发行版

在许多环境现象的研究中，循环统计分析及其在定向数据中的应用至关重要。本文介绍了包装XLindley分布，这是一种新颖的单参数圆形分布。我们推导了分布的特征函数、三角矩和其他相关描述性度量的表达式。使用最大似然、最小二乘和加权最小二乘方法估计未知分布参数，并使用模拟研究测试这些估计的准确性。最后，为了阐明建议的分布的建模潜力，我们将建议的模型拟合到两个圆形的真实世界数据集，并与包装Lindley，包装修改Lindley, Von Mises, Jones-Pewsey和Kato-Jones分布相比，评估该分布的拟合度。

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来源期刊

Environmental and Ecological Statistics 环境科学-环境科学

CiteScore

5.90

自引率

2.60%

发文量

审稿时长

>36 weeks

期刊介绍： Environmental and Ecological Statistics publishes papers on practical applications of statistics and related quantitative methods to environmental science addressing contemporary issues. Emphasis is on applied mathematical statistics, statistical methodology, and data interpretation and improvement for future use, with a view to advance statistics for environment, ecology and environmental health, and to advance environmental theory and practice using valid statistics. Besides clarity of exposition, a single most important criterion for publication is the appropriateness of the statistical method to the particular environmental problem. The Journal covers all aspects of the collection, analysis, presentation and interpretation of environmental data for research, policy and regulation. The Journal is cross-disciplinary within the context of contemporary environmental issues and the associated statistical tools, concepts and methods. The Journal broadly covers theory and methods, case studies and applications, environmental change and statistical ecology, environmental health statistics and stochastics, and related areas. Special features include invited discussion papers; research communications; technical notes and consultation corner; mini-reviews; letters to the Editor; news, views and announcements; hardware and software reviews; data management etc.