Haochong Yang, Mingfang Huang, Xinyu Chen, Ziyan He, Shusen Pu
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引用次数: 0
摘要
在本研究中,我们介绍了改进的伯尔 III 赔率-G 分布,这是一种将赔率概念与基础伯尔 III 分布相结合的新型统计模型。我们的研究重点是这一创新框架中的一个关键子类,即 Burr III Scaled Inverse Odds Ratio-G (B-SIOR-G) 分布。通过将几率与伯尔 III 分布有效整合,该模型提高了灵活性和预测准确性。我们深入探讨了该分布系列的数学和统计特性,包括危险率函数、量化函数、矩和其他特征。通过严格的模拟,我们肯定了 B-SIOR-G 模型的稳健性。通过将 B-SIOR-G 模型应用于四个数据集,我们证明了该模型的灵活性和实用性,并强调了它比几种成熟的分布更有效。
Enhanced Real-Life Data Modeling with the Modified Burr III Odds Ratio–G Distribution
In this study, we introduce the modified Burr III Odds Ratio–G distribution, a novel statistical model that integrates the odds ratio concept with the foundational Burr III distribution. The spotlight of our investigation is cast on a key subclass within this innovative framework, designated as the Burr III Scaled Inverse Odds Ratio–G (B-SIOR-G) distribution. By effectively integrating the odds ratio with the Burr III distribution, this model enhances both flexibility and predictive accuracy. We delve into a thorough exploration of this distribution family’s mathematical and statistical properties, spanning hazard rate functions, quantile functions, moments, and additional features. Through rigorous simulation, we affirm the robustness of the B-SIOR-G model. The flexibility and practicality of the B-SIOR-G model are demonstrated through its application to four datasets, highlighting its enhanced efficacy over several well-established distributions.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.