Multi-stage point estimation of the mean of an inverse Gaussian distribution |
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| Authors: | Ajit Chaturvedi Sudeep R. Bapat Neeraj Joshi |
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| Affiliation: | 1. Department of Statistics, University of Delhi, Delhi, India;2. Department of Statistics and Applied Probability, University of California, Santa Barbara, California, USA |
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| Abstract: | In this article, we develop two-stage, three-stage, and accelerated sequential procedures for the point estimation of the mean μ of an inverse Gaussian distribution when the scale parameter λ is unknown. Both minimum risk and bounded risk estimation problems are considered subject to a weighted squared error loss function. We aim at controlling the associated risk functions for all three procedures. Second-order approximations are obtained for the proposed procedures. |
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| Keywords: | Accelerated sequential procedure bounded risk fatigue life inverse Gaussian minimum risk point estimation second-order approximations three-stage procedure two-stage procedure |
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