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首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >Robust Distribution-Free Hybrid Exponentially Weighted Moving Average Schemes Based on Simple Random Sampling and Ranked Set Sampling Techniques
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Robust Distribution-Free Hybrid Exponentially Weighted Moving Average Schemes Based on Simple Random Sampling and Ranked Set Sampling Techniques

机译：基于简单随机采样和排名采样技术的鲁棒的无分布式混合呈指数加权移动平均方案

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摘要

This paper proposes new nonparametric hybrid exponentially weighted moving average (HEWMA) control charts based on simple random sampling (SRS) and ranked set sampling (RSS) techniques using the Wilcoxon rank-sum statistic. The in-control robustness and out-of-control (OOC) performances are thoroughly investigated using extensive simulations. The HEWMA chart is shown to be superior to the basic exponentially weighted moving average (EWMA) and double EWMA charts in many cases under normal and nonnormal distributions. Moreover, the OOC sensitivities of the new HEWMA - type control charts are further improved by using supplementary 2 -of- 2 and 2 -of- 3 standard and improved runs-rules approaches. It is found that the proposed HEWMA - type charts with runs-rules perform better than the basic HEWMA SRS and RSS charts. Real-life data based on the impurity of iron ore are used to illustrate the design and implementation of the new control charts.
机译：本文提出了基于简单随机采样（SRS）的新非参数混合指数加权移动平均（Hewma）控制图，并使用Wilcoxon秩和统计量排序设置采样（RSS）技术。 使用广泛的仿真彻底研究了控制的鲁棒性和对照（OOC）性能。 在正常和非正常分布下，河威图表显示出优于基本指数加权移动平均（EWMA）和双EWMA图表。 此外，通过使用补充2 -of-2和2-3标准和改进的运行规则方法，进一步改善了新的河豚型控制图的OOC敏感性。 发现提议的河豚型图表与运行规则更好地表现优于基本的Hewma SRS和RSS图表。 基于铁矿石杂质的现实生活数据用于说明新控制图表的设计和实现。

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