Bousseba Fatma Zohra, Zeghdoudi Halim, Sapkota Laxmi Prasad, Tashkandy Yusra A, Bakr M E, Kumar Anoop, Gemeay Ahmed M
LaPS Laboratory, Badji Mokhtar-Annaba University, Annaba 23000, Algeria.
Department of Statistics, Tribhuvan University, Tribhuvan Multiple Campus, Palpa, Nepal.
Heliyon. 2024 Sep 24;10(19):e38201. doi: 10.1016/j.heliyon.2024.e38201. eCollection 2024 Oct 15.
This research paper introduces a novel two-parameter quadratic exponential distribution (NTPQED), thoroughly examining its statistical properties and practical applications. The study delves into essential characteristics of the distribution, including its asymptotic behavior, moments, order statistics, and entropies. Additionally, we present fuzzy reliability, value at risk, mean excess function, limited expected value function, tail value at risk, and tail variance. A comprehensive simulation study evaluates fifteen parameter estimation methods. To illustrate the practical relevance of the proposed distribution, three sets of real-world data are analyzed. The performance of the proposed distribution model is rigorously assessed using various model selection criteria and goodness-of-fit test statistics. Empirical findings consistently demonstrate the proposed distribution's superiority over existing models, highlighting its potential for multiple applications.
本研究论文介绍了一种新型的双参数二次指数分布（NTPQED），深入研究了其统计特性和实际应用。该研究深入探讨了该分布的基本特征，包括其渐近行为、矩、顺序统计量和熵。此外，我们还给出了模糊可靠性、风险价值、平均超额函数、有限期望值函数、尾部风险价值和尾部方差。一项全面的模拟研究评估了十五种参数估计方法。为了说明所提出分布的实际相关性，分析了三组实际数据。使用各种模型选择标准和拟合优度检验统计量对所提出的分布模型的性能进行了严格评估。实证结果一致表明所提出的分布优于现有模型，突出了其在多种应用中的潜力。
