Improved Classes of Estimators for Ratio of Two Means with Double Sampling the non Respondents
In this paper, we have considered the problem of estimation of ratio of two population means (R) using multivariate auxiliary characters with known population means under incomplete information. Following Tripathi (1970) and Tripathi and Chaturvedi (1979), general classes of estimators for estimatin...
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| Format: | Article |
| Language: | English |
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Czech Statistical Office
2012-09-01
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| Series: | Statistika: Statistics and Economy Journal |
| Subjects: | |
| Online Access: | http://www.czso.cz/csu/2012edicniplan.nsf/engt/83003FFCE9/$File/e-180212q3k06.pdf |
| _version_ | 1818269082127958016 |
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| author | Brij Behari Khare Raghaw Raman Sinha |
| author_facet | Brij Behari Khare Raghaw Raman Sinha |
| author_sort | Brij Behari Khare |
| collection | DOAJ |
| description | In this paper, we have considered the problem of estimation of ratio of two population means (R) using multivariate auxiliary characters with known population means under incomplete information. Following Tripathi (1970) and Tripathi and Chaturvedi (1979), general classes of estimators for estimating R using multi-variate auxiliary characters under incomplete information have been proposed and their properties are studied. The expressions of the conditions for attaining minimum mean square error of the proposed classes of estimators have been derived and the minimum values of their mean square errors are given. The justifi cation for using the proposed classes of estimators has been given effi ciently with the help of theoretical and empirical studies. |
| first_indexed | 2024-12-12T20:48:43Z |
| format | Article |
| id | doaj.art-374314867846482c88da77f39ee67ff7 |
| institution | Directory Open Access Journal |
| issn | 1804-8765 |
| language | English |
| last_indexed | 2024-12-12T20:48:43Z |
| publishDate | 2012-09-01 |
| publisher | Czech Statistical Office |
| record_format | Article |
| series | Statistika: Statistics and Economy Journal |
| spelling | doaj.art-374314867846482c88da77f39ee67ff72022-12-22T00:12:29ZengCzech Statistical OfficeStatistika: Statistics and Economy Journal1804-87652012-09-014937583Improved Classes of Estimators for Ratio of Two Means with Double Sampling the non RespondentsBrij Behari KhareRaghaw Raman SinhaIn this paper, we have considered the problem of estimation of ratio of two population means (R) using multivariate auxiliary characters with known population means under incomplete information. Following Tripathi (1970) and Tripathi and Chaturvedi (1979), general classes of estimators for estimating R using multi-variate auxiliary characters under incomplete information have been proposed and their properties are studied. The expressions of the conditions for attaining minimum mean square error of the proposed classes of estimators have been derived and the minimum values of their mean square errors are given. The justifi cation for using the proposed classes of estimators has been given effi ciently with the help of theoretical and empirical studies.http://www.czso.cz/csu/2012edicniplan.nsf/engt/83003FFCE9/$File/e-180212q3k06.pdfRatioauxiliary charactersbiasmean square errorincomplete information |
| spellingShingle | Brij Behari Khare Raghaw Raman Sinha Improved Classes of Estimators for Ratio of Two Means with Double Sampling the non Respondents Statistika: Statistics and Economy Journal Ratio auxiliary characters bias mean square error incomplete information |
| title | Improved Classes of Estimators for Ratio of Two Means with Double Sampling the non Respondents |
| title_full | Improved Classes of Estimators for Ratio of Two Means with Double Sampling the non Respondents |
| title_fullStr | Improved Classes of Estimators for Ratio of Two Means with Double Sampling the non Respondents |
| title_full_unstemmed | Improved Classes of Estimators for Ratio of Two Means with Double Sampling the non Respondents |
| title_short | Improved Classes of Estimators for Ratio of Two Means with Double Sampling the non Respondents |
| title_sort | improved classes of estimators for ratio of two means with double sampling the non respondents |
| topic | Ratio auxiliary characters bias mean square error incomplete information |
| url | http://www.czso.cz/csu/2012edicniplan.nsf/engt/83003FFCE9/$File/e-180212q3k06.pdf |
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