Yazar "Senoglu, Birdal" seçeneğine göre listele

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    Öğe
    ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS
    (Yildiz Technical Univ, 2018) Aydin, Demet; Senoglu, Birdal
    In practice, missing values are widely seen and create serious problems in almost all statistical analysis. In this study, to deal with missing values, we propose estimators for missing value in one-way analysis of variance (ANOVA) when the distribution of error terms is long-tailed symmetric (LTS). We use methodologies known as maximum likelihood (ML), modified maximum likelihood (MML) and least squares (LS) in estimating missing value. Expectation and maximization (EM) algorithm is used for computing ML estimate of missing value. We compare the efficiencies of LS, ML and MML estimators of missing value via Monte Carlo simulation study. Simulation results show that ML estimator of missing value is the most efficient among the others. The usefulness of the proposed estimators is illustrated by peak discharge data example taken from civil engineering.
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    Öğe
    Monte Carlo Comparison of the Parameter Estimation Methods for the Two-Parameter Gumbel Distribution
    (Wayne State Univ Press, 2015) Aydin, Demet; Senoglu, Birdal
    The performances of the seven different parameter estimation methods for the Gumbel distribution are compared with numerical simulations. Estimation methods used in this study are the method of moments (ME), the method of maximum likelihood (ML), the method of modified maximum likelihood (MML), the method of least squares (LS), the method of weighted least squares (WLS), the method of percentile (PE) and the method of probability weighted moments (PWM). Performance of the estimators is compared with respect to their biases, MSE and deficiency (Def) values via Monte-Carlo simulation. A Monte Carlo Simulation study showed that the method of PWM was the best performance the other methods of bias criterion and the method of ML outperforms the other methods in terms of Def criterion. A real life example taken from the hydrology literature is given at the end of the paper.
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    Öğe
    Robust estimation of the location and the scale parameters of shifted Gompertz distribution
    (Univ Studi Salento, 2018) Aydin, Demet; Akgul, Fatma Gul; Senoglu, Birdal
    In this study, we consider the estimation of the location parameter mu and the scale parameter sigma of the shifted Gompertz distribution. We obtain the closed form estimators of these parameters by using the modified maximum likelihood methodology. We also compare the efficiencies of these estimators with the well-known and widely used least squares and maximum likelihood estimators via Monte-Carlo simulation study in terms of bias, mean square error and deficiency criteria. In addition, we evaluate the performances of the proposed estimators when the data set contains outliers or is contaminated. In other words, the robustness properties of the estimators are investigated. A real data set is analyzed to demonstrate the implementation of the estimation methods at the end of the study.