Estimation of parameters of finite population L-statistics
We consider the estimation of important parameters of a linear combination of order statistics (L-statistic) in a finite population, emphasizing the influence of auxiliary information on the estimation accuracy. Assuming that values of an auxiliary variable are available for all population units, we...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2013-07-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14013 |
| _version_ | 1818368248896290816 |
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| author | Dalius Pumputis Andrius Čiginas |
| author_facet | Dalius Pumputis Andrius Čiginas |
| author_sort | Dalius Pumputis |
| collection | DOAJ |
| description | We consider the estimation of important parameters of a linear combination of order statistics (L-statistic) in a finite population, emphasizing the influence of auxiliary information on the estimation accuracy. Assuming that values of an auxiliary variable are available for all population units, we construct calibrated estimators for the variance of L-statistics and for the parameters, which define one-term Edgeworth expansions of distributions of L-statistics. The gain of the new estimators is demonstrated by the simulation study. |
| first_indexed | 2024-12-13T23:04:56Z |
| format | Article |
| id | doaj.art-2787e8141d924f2893aa94d77199c269 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T23:04:56Z |
| publishDate | 2013-07-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-2787e8141d924f2893aa94d77199c2692022-12-21T23:28:18ZengVilnius University PressNonlinear Analysis1392-51132335-89632013-07-01183Estimation of parameters of finite population L-statisticsDalius Pumputis0Andrius Čiginas1Lithuanian University of Educational Sciences, LithuaniaVilnius University, LithuaniaWe consider the estimation of important parameters of a linear combination of order statistics (L-statistic) in a finite population, emphasizing the influence of auxiliary information on the estimation accuracy. Assuming that values of an auxiliary variable are available for all population units, we construct calibrated estimators for the variance of L-statistics and for the parameters, which define one-term Edgeworth expansions of distributions of L-statistics. The gain of the new estimators is demonstrated by the simulation study.http://www.journals.vu.lt/nonlinear-analysis/article/view/14013finite populationL-statisticvarianceEdgeworth expansionbootstrapcalibration |
| spellingShingle | Dalius Pumputis Andrius Čiginas Estimation of parameters of finite population L-statistics Nonlinear Analysis finite population L-statistic variance Edgeworth expansion bootstrap calibration |
| title | Estimation of parameters of finite population L-statistics |
| title_full | Estimation of parameters of finite population L-statistics |
| title_fullStr | Estimation of parameters of finite population L-statistics |
| title_full_unstemmed | Estimation of parameters of finite population L-statistics |
| title_short | Estimation of parameters of finite population L-statistics |
| title_sort | estimation of parameters of finite population l statistics |
| topic | finite population L-statistic variance Edgeworth expansion bootstrap calibration |
| url | http://www.journals.vu.lt/nonlinear-analysis/article/view/14013 |
| work_keys_str_mv | AT daliuspumputis estimationofparametersoffinitepopulationlstatistics AT andriusciginas estimationofparametersoffinitepopulationlstatistics |