Mathematical Sciences

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Browsing Mathematical Sciences by Author "Ahmad, Liaquat"

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    Control charts for monitoring process capability index using median absolute deviation for some popular distributions
    (Multidisciplinary Digital Publishing Institute, 2019) Aslam, Muhammad; Rao, G. Srinivasa; AL-Marshadi, Ali Hussein; Ahmad, Liaquat; Jun, Chi-Hyuck
    A control chart monitoring the process capability index (PCI) using median absolute deviation (MAD) is proposed to analyze the industrial process performance. Extensive simulation studies were carried out to evaluate the performance of MAD-based PCI control charts under the low, moderate, and high asymmetric conditions when the process characteristic follows Weibull, log-normal, and gamma distributions. The performance of the proposed control charts was evaluated based on the average run lengths. The practical implementation of the proposed charts was also illustrated with industrial data.
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    Two-stage sampling plan using process loss index under neutrosophic statistics
    (Taylor & Francis, 2019) Rao, Srinivasa G.; Aslam, Muhammad; Khan, Nasrullah; Ahmad, Liaquat
    This article develops the designing of two-stage process loss using neutrosophic statistics (NS). The neutrosophic operating characteristic for the two-stage sampling is developed under NS. Neutrosophic plan parameters are obtained using non-linear optimization using the neutrosophic statistical interval method for the constraints. A comparative study is carried out with the existing scheme. Some tables are provided and explained with an example under uncertainty.