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The Odd Log-Logistic Generalized Gompertz Distribution:Properties,Applications and Different Methods of Estimation 被引量:2
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作者 Morad Alizadeh Lazhar Benkhelifa +1 位作者 Mahdi Rasekhi Bistoon Hosseini 《Communications in Mathematics and Statistics》 SCIE 2020年第3期295-317,共23页
We introduce a four-parameter lifetime distribution called the odd log-logistic generalized Gompertz model to generalize the exponential,generalized exponential and generalized Gompertz distributions,among others.We o... We introduce a four-parameter lifetime distribution called the odd log-logistic generalized Gompertz model to generalize the exponential,generalized exponential and generalized Gompertz distributions,among others.We obtain explicit expressions for themoments,moment-generating function,asymptotic distribution,quantile function,mean deviations and distribution of order statistics.The method of maximum likelihood estimation of parameters is compared by six different methods of estimations with simulation study.The applicability of the new model is illustrated by means of a real data set. 展开更多
关键词 Odd log-logistic family of distribution Maximum likelihood estimators Least squares estimators Weighted least squares estimators Method of maximum product spacing Percentile estimators
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