Robustness of a truncated estimator for the smaller of two ordered means
In this note, we consider the problem of estimating the smaller of two ordered means. Such problems frequently arise in applications where, for example, aggregated data are observed. In order to combine information from direct and indirect observations, we use the Stein-type truncated estimator. We...
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| Veröffentlicht in: | Statistical papers (Berlin, Germany) Germany), 2023-12, Vol.64 (6), p.2225-2244 |
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| creator | Hamura, Yasuyuki Kubokawa, Tatsuya |
| description | In this note, we consider the problem of estimating the smaller of two ordered means. Such problems frequently arise in applications where, for example, aggregated data are observed. In order to combine information from direct and indirect observations, we use the Stein-type truncated estimator. We show that it dominates the direct estimator for distributions with log-concave or log-convex densities. |
| doi_str_mv | 10.1007/s00362-022-01371-3 |
| format | Article |
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| issn | 0932-5026 1613-9798 |
| language | eng |
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| source | SpringerLink Journals; Business Source Complete |
| subjects | Economic Theory/Quantitative Economics/Mathematical Methods Economics Finance Insurance Management Mathematics and Statistics Operations Research/Decision Theory Probability Theory and Stochastic Processes Short Communication Statistics Statistics for Business |
| title | Robustness of a truncated estimator for the smaller of two ordered means |
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