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Estimation in two sample randomly truncated scale model |
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| Institution: | 1. Department of Prosthodontics, Faculty of Odontology, Malmö University, Malmö, Sweden;2. Maxillofacial Unit Halmstad, Region Halland, Halmstad, Sweden;3. Swedish Ceramic Institute, IVF, Mölndal, Sweden;4. Department of Oral and Maxillofacial Radiology, Kanagawa Dental College, Yokosuka, Japan |
| Abstract: | This paper studies a class of Cramér–von Mises type minimum distance estimators of the scale parameter in the two sample randomly left truncated scale models. The proposed class of estimators includes an analogue of the well-known Hodges–Lehmann estimator. The paper proves the asymptotic normality of these estimators under mild conditions. It also contains a real data application and a simulation study making a comparison of some of the estimators in the class with the ratio of the two means. |
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