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WHITHER STATISTICS? 统计将走向何方?
Pub Date : 2023-05-22 DOI: 10.32381/iapqrt.2023.47.01-02.1
S. Mukherjee
The present article reflects on a few issues regarding the on-going trend in theory and applications of Statistics. The aspect of applications and the problems with sample surveys in several domains have been emphasized.
本文对统计学理论和应用的发展趋势进行了反思。强调了抽样调查在若干领域的应用和问题。
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引用次数: 0
RELIABILITY AND AVAILABILITY IMPROVEMENT OF RAW MATERIAL CHARGING STATION IN A STEEL INDUSTRY 钢铁行业原料充电站可靠性和可用性的改进
Pub Date : 2023-05-22 DOI: 10.32381/iapqrt.2023.47.01-02.4
S. Rath, Ashis KUMAR CHAKRABORTY, S. Chatterjee
Raw Material Charging Station (RMCS) is one of the most important infrastructures in steel industry and is used to load and carry crushed iron ore to furnace. Breakdown behaviour of the RMCS was observed for a certain period, and its future behaviour was predicted using a reliability model. For improvement of availability however, a Six sigma approach was used. Initial focus was to reduce the repair time per month in order to make RMCS more available for use and save the financial loss due to unavailability of the furnaces to produce steel. This study discovers a way to simultaneously improve reliability, reduce repair time and thereby improve availability of the RMCS. The study also generalises an approach for improving reliability and availability for any mechanised repairable system using six sigma methodologies.
原料充电站(RMCS)是钢铁工业中最重要的基础设施之一,用于将破碎的铁矿石装载和输送到加热炉。观察了一段时间内RMCS的故障行为,并使用可靠性模型预测了其未来行为。然而,为了提高可用性,采用了六西格玛方法。最初的重点是减少每月的维修时间,以使RMCS更易于使用,并节省因无法使用熔炉生产钢铁而造成的经济损失。本研究发现了一种同时提高可靠性,减少维修时间,从而提高RMCS可用性的方法。该研究还推广了一种方法,以提高可靠性和可用性的任何机械可修系统使用六西格玛方法。
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引用次数: 0
WEIGHTED ALTERNATED CHARTING STATISTIC CONTROL CHART TO MONITOR THE MEAN VECTOR 加权交替图表统计控制图监测平均向量
Pub Date : 2023-05-22 DOI: 10.32381/iapqrt.2023.47.01-02.3
M. P. Gadre
In this article, modification of the ‘Alternated Charting Statistic’ (ACS) scheme with the traditional Hotelling 2 chart to control the mean vector of a bivariate normal process is proposed. With the bivariate ACS scheme in use, the two quality characteristics (X, Y) are controlled in an alternating fashion. The proposed control chart is called as ‘Weighed Alternated Charting Statistic’ (WACS) control chart to monitor the mean vector by using variable inspection. In WACS chart, which one of the two quality characteristic is to be inspected, is explained in detail. While defining the rule of the status of the process, the weights of each of the two quality characteristics are considered. It is numerically illustrated that the WACS chart performs better as compared to the 2chart and ACS chart.
本文提出了用传统的Hotelling2图对“交替图表统计”(ACS)方案进行修改,以控制二元正态过程的均值向量。使用二元ACS方案时,两个质量特性(X, Y)以交替的方式进行控制。所提出的控制图被称为“加权交替图表统计”(WACS)控制图,通过变量检验来监测平均向量。在WACS图中,详细说明了两种质量特性中哪一种是要检验的。在定义过程状态规则时,考虑了两个质量特征的权重。数值表明,与2图和ACS图相比,WACS图表现更好。
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引用次数: 0
INFERENCE AND PREDICTION OF ORDER STATISTICS BASED ON K-RECORD VALUES FROM A WEIBULL DISTRIBUTION 基于威布尔分布k记录值的序统计量的推断和预测
Pub Date : 2023-05-22 DOI: 10.32381/iapqrt.2023.47.01-02.5
Laji Muraleedharan, Manoj Chacko
In this paper, the problem of estimation of parameters and prediction of order statistics from a future sample based on upper k-record values arising from a two parameter Weibull distribution is considered. The maximum likelihood estimators and the Bayes estimators are obtained based on observed upper k-record values. Bayesian point predictors of the order statistics from a future sample and its two-sided equi-tailed prediction intervals are also derived. Finally, a numerical illustration is considered for exemplifying the proposed inferential procedures developed in this paper.
本文研究了基于双参数威布尔分布的上k记录值的未来样本参数估计和序统计量预测问题。最大似然估计量和贝叶斯估计量是基于观测到的上k记录值得到的。给出了未来样本序统计量的贝叶斯点预测量及其双侧等尾预测区间。最后,考虑了一个数值说明,以举例说明本文提出的推理程序。
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引用次数: 0
USE OF RANKED SET SAMPLING IN THE ESTIMATION OF PARAMETERS 𝝁𝟐 AND 𝝈𝟐 OF MORGENSTERN TYPE BIVARIATE EXPONENTIAL DISTRIBUTION 秩集抽样在摩根斯坦型二元指数分布参数估计中的应用𝝁和𝝈
Pub Date : 2023-05-22 DOI: 10.32381/iapqrt.2023.47.01-02.2
N. Kumar, A. R. SUMI.
In this article we have derived the best linear unbiased estimator (BLUE) of the parameters 2 and 2 involved in the Morgenstern type bivariate exponential distribution by ranked set sampling (RSS). Also we have evaluated the BLUE's of 2 and 2 involved in the Morgenstern type bivariate exponential distribution by concomitants of ranked set sampling for some specific values of the sample size n. The efficiency comparison of the proposed estimators with that of the estimators using concomitants of order statistics and modified ranked set sampling is also made.
本文用排序集抽样(RSS)方法推导了morgan stern型二元指数分布中涉及的参数2和2的最佳线性无偏估计量(BLUE)。此外,我们还利用排序集抽样的伴随量对样本容量n的某些特定值评估了Morgenstern型二元指数分布中2和2的BLUE's,并将所提出的估计量与阶统计量和修正排序集抽样的伴随量的估计量进行了效率比较。
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引用次数: 0
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IAPQR Transactions
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