由序统计量分布引起的一种新的逻辑推广:性质与应用

Echebiri U.V., Anyadiegwu C.U., Osawe N.L., Abubakar H.A., Adewole C.J.
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引用次数: 0

摘要

变量支持x∈R表现出严格对称性的分布精通文献;并作为各种钟形结果的模型拟合;其中正态分布和逻辑分布是著名的例子。然而,这种严格性限制了这些概率模型对特定类型数据的应用;因此,它的效用最小。因此,本文提出了一种新的逻辑分布的概化方法,即琼斯广义逻辑分布。这个新分布是条件对称的;这意味着只有在参数组合相等的情况下,分布才会达到对称性。通过暗示,所提出的分布服务于模拟对称和非对称结果的双重目的。推导了该模型的一些性质。最后,对两种不同的寿命数据进行了JGLD拟合,以证明其相关性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A New Logistic Generalization Arising from Distributions of Order Statistics: Properties and Applications
Distributions with the variable support x∈R that exhibit strict symmetricity are versed in literature; and serve as model-fit for various forms of bell shaped outcomes; where normal and logistic distributions are renowned examples. This strictness, however, limits the application of these probability models to a particular kind of data; hence, its minimal utility. In this paper, therefore, a new generalization for the logistic distribution termed the Jones generalized logistic distribution is proposed. This new distribution is conditionally symmetric; which entails that the distribution attains symmetricity, only at equal parameter combinations. By implication, the proposed distribution serves the dual purpose of modeling both symmetric and asymmetric outcomes. Some properties of the proposed model have been derived. Finally, JGLD were fit to two different lifetime data as a demonstration to its relevance.
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