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      An Alternative Model for Describing the Reliability Data: Applications, Assessment, and Goodness-of-Fit Validation Testing

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      Mathematics
      MDPI AG

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          Abstract

          We provide a new extension of the exponential distribution with an emphasis on the practical elements of the model. Six different classical estimation methods were applied and compared. The main test was evaluated on complete data using four sets of data. Additionally, four applications and the derivation of the new Nikulin statistic test for the new probability model under the censored situation are described. Both tests were evaluated through simulation experiments on complete data and on artificial and censored data. In addition, a set of simulation experiments were presented, which were used and employed to evaluate the original statistical test and the new modified statistical test based on statistical controls in the evaluation processes.

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          Logistic Regression, Survival Analysis, and the Kaplan-Meier Curve

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            A Comparison of Maximum Likelihood and Bayesian Estimators for the Three- Parameter Weibull Distribution

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              A Bootstrap Control Chart for Weibull Percentiles

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                Author and article information

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                Journal
                Mathematics
                Mathematics
                MDPI AG
                2227-7390
                March 2023
                March 08 2023
                : 11
                : 6
                : 1308
                Article
                10.3390/math11061308
                c93352b3-877c-4b1c-8c0e-12ed2d4e9f53
                © 2023

                https://creativecommons.org/licenses/by/4.0/

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