Finite population inference for skewness measures
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866909501237493760 |
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| author | Pasquazzi, Leo |
| author_facet | Pasquazzi, Leo |
| contents | In this article we consider Bowley's skewness measure and the Groeneveld-Meeden $b_{3}$ index in the context of finite population sampling. We employ the functional delta method to obtain asymptotic variance formulae for plug-in estimators and propose corresponding variance estimators. We then consider plug-in estimators based on the Hájek cdf-estimator and on a Deville-Särndal type calibration estimator and test the performance of normal confidence intervals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18549 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite population inference for skewness measures Pasquazzi, Leo Methodology 62D05 In this article we consider Bowley's skewness measure and the Groeneveld-Meeden $b_{3}$ index in the context of finite population sampling. We employ the functional delta method to obtain asymptotic variance formulae for plug-in estimators and propose corresponding variance estimators. We then consider plug-in estimators based on the Hájek cdf-estimator and on a Deville-Särndal type calibration estimator and test the performance of normal confidence intervals. |
| title | Finite population inference for skewness measures |
| topic | Methodology 62D05 |
| url | https://arxiv.org/abs/2411.18549 |