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A consistent method of estimation for the parameters of the three-parameter inverse Gaussian distribution |
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| Authors: | Hideki Nagatsuka N. Balakrishnan |
| Affiliation: | 1. Faculty of System Design , Tokyo Metropolitan University , Asahigaoka 6-6, Hino-shi, Tokyo , 191-0065 , Japan hnagatsu@sd.tmu.ac.jp;3. Department of Mathematics and Statistics , McMaster University , Hamilton , ON , Canada , L8S 4K1 |
| Abstract: | In this paper, we propose a consistent method of estimation for the parameters of the three-parameter inverse Gaussian distribution. We then discuss some properties of these estimators and show by means of a Monte Carlo simulation study that the proposed estimators perform better than some other prominent estimators in terms of bias and root mean squared error. Finally, we present two real-life examples to illustrate the method of inference developed here. |
| Keywords: | maximum likelihood method mixed moments method conditional method of moments order statistics threshold parameter consistency |