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  1. Article ; Online: Performance evaluation of DEWMA3 in phase-II for capturing changes in simple linear profiles based on run rule mechanism

    Rehan Ahmad Khan Sherwani / Humaira Qasim / Shumaila Abbas / Tahir Abbas / Muhammad Aslam

    Scientific Reports, Vol 13, Iss 1, Pp 1-

    2023  Volume 15

    Abstract: Abstract In Statistical Process Control, many techniques exist for monitoring the stability of a process over time. In this work, we study the relationship of the response variable with explanatory variables in the form of linear profiles for detecting ... ...

    Abstract Abstract In Statistical Process Control, many techniques exist for monitoring the stability of a process over time. In this work, we study the relationship of the response variable with explanatory variables in the form of linear profiles for detecting changes in slope and intercept of the linear quality profiles. We used the transformation of explanatory variables approach used for make the regression estimates independent of each other to have zero average. A comparative study of three phase-II methods using DEWMA statistics in monitoring and capturing undesirable deviations in the slope, intercept, and variability is also studied by applying different proposed run rules schemes i.e., R1/1, R2/3, R3/3. Monte Carlo simulations were carried out on R-Software for finding the results of proposed schemes by taking various levels of shifts for intercept, slope, and standard deviation in identifying the false alarm rate of a process. The simulation results based on the average run length criterion show that the proposed run rule schemes improve the detection ability of the control structure. Among all the proposed schemes R2/3 is found to be the best one because of its quick detection ability of false alarm rate. The proposed scheme also shows superiority in comparison to other schemes. The simulation results are further justified with a real data application.
    Keywords Medicine ; R ; Science ; Q
    Language English
    Publishing date 2023-05-01T00:00:00Z
    Publisher Nature Portfolio
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  2. Article ; Online: Neutrosophic Beta Distribution with Properties and Applications

    Rehan Ahmad Khan Sherwani / Mishal Naeem / Muhammad Aslam / Muhammad Ali Raza / Muhammad Abid / Shumaila Abbas

    Neutrosophic Sets and Systems, Vol 41, Pp 209-

    2021  Volume 214

    Abstract: This research is an extension of classical statistics distribution theory as the theory did not deal with the problems having ambiguity, impreciseness, or indeterminacy. An important life-time distribution called Beta distribution from classical ... ...

    Abstract This research is an extension of classical statistics distribution theory as the theory did not deal with the problems having ambiguity, impreciseness, or indeterminacy. An important life-time distribution called Beta distribution from classical statistics is proposed by considering the indeterminate environment and named the new proposed distribution as neutrosophic beta distribution. Various distributional properties like mean, variance, moment generating function, r-th moment order statistics that includes smallest order statistics, largest order statistics, joint order statistics, and median order statistics are derived. The parameters of the proposed distribution are estimated via maximum likelihood method. Proposed distribution is applied on two real data sets and goodness of fit is assessed through AIC and BIC criteria’s. The estimates of the proposed distribution suggested a better fit than the classical form of Beta distribution and recommended to use when the data in the interval form follows a Beta distribution and have some sort of indeterminacy.
    Keywords neutrosophic ; beta distribution ; Mathematics ; QA1-939 ; Electronic computers. Computer science ; QA75.5-76.95
    Subject code 519
    Language English
    Publishing date 2021-03-01T00:00:00Z
    Publisher University of New Mexico
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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