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Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic Statistics
Journal of Mathematics ( IF 1.4 ) Pub Date : 2020-08-27 , DOI: 10.1155/2020/7680286
Ahmed Ibrahim Shawky 1 , Muhammad Aslam 1 , Khushnoor Khan 1
Affiliation  

In this paper, a control chart scheme has been introduced for the mean monitoring using gamma distribution for belief statistics using multiple dependent (deferred) state sampling under the neutrosophic statistics. The coefficients of the control chart and the neutrosophic average run lengths have been estimated for specific false alarm probabilities under various process conditions. The offered chart has been compared with the existing classical chart through simulation and the real data. From the comparison, it is concluded that the performance of the proposed chart is better than that of the existing chart in terms of average run length under uncertain environment. The proposed chart has the ability to detect a shift quickly than the existing chart. It has been observed that the proposed chart is efficient in quick monitoring of the out-of-control process and a cherished addition in the toolkit of the quality control personnel.

中文翻译:

中智统计下使用信念统计的基于多重相依状态抽样的图表

在本文中,引入了一种控制图方案,用于在中智统计下使用伽玛分布进行信念统计的伽玛分布平均值监测,并使用多个相关(递延)状态采样。对于各种过程条件下的特定虚警概率,已经估计了控制图的系数和中智平均游程长度。通过仿真和真实数据,已将提供的图表与现有经典图表进行了比较。通过比较,可以得出结论,在不确定环境下,建议图表的性能要优于现有图表的平均游程长度。所提出的图表比现有图表能够更快地检测到变化。
更新日期:2020-08-27
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