Islam A. Husseiny, Haroon M. Barakat, Taher S. Taher, Metwally A. Alawady
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引用次数: 0
Abstract
The Fisher information matrix (FIM) relevant to order statistics (OSs) and their concomitants of the shape-parameters vector of the Cambanis bivariate distribution is investigated. Singly or multiply censored bivariate samples drawn from the Cambanis bivariate distribution are used to obtain the Fisher information (FI). In addition, the FI contained in the scale and shape parameters of generalized exponential distributions in the concomitants of OSs is obtained. The cumulative residual FI in the concomitant of OSs based on the Cambanis family is theoretically and numerically studied. Finally, a bivariate real-world data set has been analyzed for illustrative purposes, and the performance of the proposed method is quite satisfactory.
本文研究了与坎巴尼斯二元分布的形状参数向量的阶次统计（OS）及其相关因素有关的费舍尔信息矩阵（FIM）。从坎巴尼斯二元分布中抽取的单删减或多删减二元样本被用来获取费雪信息（FI）。此外，还获得了操作系统的伴随变量中广义指数分布的规模和形状参数所包含的费雪信息。对基于 Cambanis 族的操作系统同时体中的累积残差 FI 进行了理论和数值研究。最后，为了说明问题，分析了一个二元真实世界数据集，所提方法的性能相当令人满意。
期刊介绍：
Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc. The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.
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