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SkSP-R sampling plan based on process capability index
Hussain, Jaffer,Balamurali, S.,Aslam, Muhammad,Jun, Chi-Hyuck Informa UK (TaylorFrancis) 2017 Communications in Statistics Vol.46 No.6
<P>In this paper, we present an optimal designing methodology for the skip-lot sampling plan (SkSP) of type SkSP-R based on the most widely used process capability index (PCI) C-pk. The SkSP-R plan is one of the SkSPs that incorporate the provision of the reinspection concept. In order to design the optimal parameters, we consider both symmetric and asymmetric fraction non conforming cases. Tables are also constructed to determine the optimal parameters by formulating an optimization problem. The advantages of the proposed plan over the existing plan are also discussed. Application of the plan is explained with a real-life example.</P>
Weighted Erlang and Lomax Distributions
Talat Yasmin,Muhammad Aslam,Jaffer Hussain,Chi-Hyuck Jun 대한산업공학회 2017 Industrial Engineeering & Management Systems Vol.16 No.3
Two new families of weighted Erlang and Lomax probability distributions are developed. Various properties including the moments and the bias in the estimated mean of a weighted distribution are derived. As applications of these distributions, time truncated acceptance sampling plans are designed to obtain the minimum sample size and the acceptance number for un-weighted and weighted distributions, where various pre-assigned producer’s and consumer’s risks, various ratios of true mean to the specified mean life, and various test termination time multipliers are considered. A real data set is analyzed to illustrate the proposed time-truncated sampling plan.
Yasmin, Talat,Aslam, Muhammad,Hussain, Jaffer,Jun, Chi-Hyuck Korean Institute of Industrial Engineers 2017 Industrial Engineeering & Management Systems Vol.16 No.3
Two new families of weighted Erlang and Lomax probability distributions are developed. Various properties including the moments and the bias in the estimated mean of a weighted distribution are derived. As applications of these distributions, time truncated acceptance sampling plans are designed to obtain the minimum sample size and the acceptance number for un-weighted and weighted distributions, where various pre-assigned producer's and consumer's risks, various ratios of true mean to the specified mean life, and various test termination time multipliers are considered. A real data set is analyzed to illustrate the proposed time-truncated sampling plan.
Optimal designing of an SkSP-R double sampling plan
Balamurali, Saminathan,Ahmad, Liaquat,Aslam, Muhammad,Hussain, Jaffer,Jun, Chi-Hyuck Informa UK (TaylorFrancis) 2018 Communications in Statistics Vol.47 No.17
<P>In this article, we propose a method of planning and determining the optimum parameters of a SkSP-R skip-lot sampling plan by using the attribute double sampling plan as the reference plan. The SkSP-R plan is a new type of skip-lot sampling plan which has a provision for re-inspecting the submitted lots. The optimal plan parameters of the suggested sampling plan are estimated with the target that the average sample number be minimized and satisfying both the specified producer's as well as the consumer's risks simultaneously. In order to obtain the optimum parameters, tables are also built for different combinations of the acceptable quality level and the limiting quality level in conjunctions with different producer's and consumer's risks. An illustrative example is provided for the implementation of the suggested plan. The advantages of the suggested plan over the existing conventional sampling plans and other existing skip-lot sampling plans are also described.</P>
A control chart for COM-Poisson distribution using a modified EWMA statistic
Aslam, Muhammad,Saghir, Aamir,Ahmad, Liaquat,Jun, Chi-Hyuck,Hussain, Jaffer Informa UK (TaylorFrancis) 2017 JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION Vol.87 No.18
<P>In this paper, a control chart has been developed for the Conway-Maxwell Poisson (COM-Poisson) distribution using the modified exponentially weighted moving average statistic. The proposed chart provides an efficient detection of smaller changes in the location parameter of the COM-Poisson distribution. The performance of the proposed control chart has been evaluated by the average and the standard deviation of the run length distribution for various parameters. Better detecting ability has also been compared with the existing control chart using EWMA statistic. Using simulation, we also showed the detecting ability over the traditional EWMA chart.</P>