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  • Open Access


    Estimating Weibull Parameters Using Least Squares and Multilayer Perceptron vs. Bayes Estimation

    Walid Aydi1,3,*, Fuad S. Alduais2,4

    CMC-Computers, Materials & Continua, Vol.71, No.2, pp. 4033-4050, 2022, DOI:10.32604/cmc.2022.023119

    Abstract The Weibull distribution is regarded as among the finest in the family of failure distributions. One of the most commonly used parameters of the Weibull distribution (WD) is the ordinary least squares (OLS) technique, which is useful in reliability and lifetime modeling. In this study, we propose an approach based on the ordinary least squares and the multilayer perceptron (MLP) neural network called the OLSMLP that is based on the resilience of the OLS method. The MLP solves the problem of heteroscedasticity that distorts the estimation of the parameters of the WD due to the presence of outliers, and eases… More >

  • Open Access


    Generalized Class of Mean Estimators with Known Measures for Outliers Treatment

    Ibrahim M. Almanjahie1,2, Amer Ibrahim Al-Omari3,*, Emmanuel J. Ekpenyong4, Mir Subzar5

    Computer Systems Science and Engineering, Vol.38, No.1, pp. 1-15, 2021, DOI:10.32604/csse.2021.015933

    Abstract In estimation theory, the researchers have put their efforts to develop some estimators of population mean which may give more precise results when adopting ordinary least squares (OLS) method or robust regression techniques for estimating regression coefficients. But when the correlation is negative and the outliers are presented, the results can be distorted and the OLS-type estimators may give misleading estimates or highly biased estimates. Hence, this paper mainly focuses on such issues through the use of non-conventional measures of dispersion and a robust estimation method. Precisely, we have proposed generalized estimators by using the ancillary information of non-conventional measures… More >

  • Open Access


    The Robust Regression Methods for Estimating of Finite Population Mean Based on SRSWOR in Case of Outliers

    Mir Subzar1, Amer Ibrahim Al-Omari2, Ayed R. A. Alanzi3, *

    CMC-Computers, Materials & Continua, Vol.65, No.1, pp. 125-138, 2020, DOI:10.32604/cmc.2020.010230

    Abstract The ordinary least square (OLS) method is commonly used in regression analysis. But in the presence of outlier in the data, its results are unreliable. Hence, the robust regression methods have been suggested for a long time as alternatives to the OLS to solve the outliers problem. In the present study, new ratio type estimators of finite population mean are suggested using simple random sampling without replacement (SRSWOR) utilizing the supplementary information in Bowley’s coefficient of skewness with quartiles. For these proposed estimators, we have used the OLS, Huber-M, Mallows GM-estimate, Schweppe GM-estimate, and SIS GM-estimate methods for estimating the… More >

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