Using ORRT Models for Mean Estimation under Nonresponse and Measurement Errors in Stratified Successive Sampling
In the context of a sample survey, the collection of information on a sensitive variable is difficult, which may cause nonresponse and measurement errors. Due to this, the estimates can be biased and the variation may increase. To overcome this difficulty, we propose an estimator for the estimation...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
|
| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2023/1340068 |
| _version_ | 1811158652844769280 |
|---|---|
| author | Monica Choudhary Sanam Preet Kour Sunil Kumar Carlos N. Bouza Agustín Santiago |
| author_facet | Monica Choudhary Sanam Preet Kour Sunil Kumar Carlos N. Bouza Agustín Santiago |
| author_sort | Monica Choudhary |
| collection | DOAJ |
| description | In the context of a sample survey, the collection of information on a sensitive variable is difficult, which may cause nonresponse and measurement errors. Due to this, the estimates can be biased and the variation may increase. To overcome this difficulty, we propose an estimator for the estimation of a sensitive variable by using auxiliary information in the presence of nonresponse and measurement errors simultaneously. The properties of the proposed estimators have been studied, and the results have been compared with those of the usual complete response estimator. Theoretical results have been verified through a simulation study using an artificial population and two real-life applications. With the outcomes of the proposed estimator, a suitable recommendation has been made to the survey statisticians for their real-life application. |
| first_indexed | 2024-04-10T05:27:46Z |
| format | Article |
| id | doaj.art-426a3f2f8589486d9dfc715b0176acbe |
| institution | Directory Open Access Journal |
| issn | 1687-9538 |
| language | English |
| last_indexed | 2024-04-10T05:27:46Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj.art-426a3f2f8589486d9dfc715b0176acbe2023-03-07T11:58:32ZengHindawi LimitedJournal of Probability and Statistics1687-95382023-01-01202310.1155/2023/1340068Using ORRT Models for Mean Estimation under Nonresponse and Measurement Errors in Stratified Successive SamplingMonica Choudhary0Sanam Preet Kour1Sunil Kumar2Carlos N. Bouza3Agustín Santiago4Department of StatisticsDepartment of StatisticsDepartment of StatisticsUniversidad de La HabanaUniversidad Autónoma de GuerreroIn the context of a sample survey, the collection of information on a sensitive variable is difficult, which may cause nonresponse and measurement errors. Due to this, the estimates can be biased and the variation may increase. To overcome this difficulty, we propose an estimator for the estimation of a sensitive variable by using auxiliary information in the presence of nonresponse and measurement errors simultaneously. The properties of the proposed estimators have been studied, and the results have been compared with those of the usual complete response estimator. Theoretical results have been verified through a simulation study using an artificial population and two real-life applications. With the outcomes of the proposed estimator, a suitable recommendation has been made to the survey statisticians for their real-life application.http://dx.doi.org/10.1155/2023/1340068 |
| spellingShingle | Monica Choudhary Sanam Preet Kour Sunil Kumar Carlos N. Bouza Agustín Santiago Using ORRT Models for Mean Estimation under Nonresponse and Measurement Errors in Stratified Successive Sampling Journal of Probability and Statistics |
| title | Using ORRT Models for Mean Estimation under Nonresponse and Measurement Errors in Stratified Successive Sampling |
| title_full | Using ORRT Models for Mean Estimation under Nonresponse and Measurement Errors in Stratified Successive Sampling |
| title_fullStr | Using ORRT Models for Mean Estimation under Nonresponse and Measurement Errors in Stratified Successive Sampling |
| title_full_unstemmed | Using ORRT Models for Mean Estimation under Nonresponse and Measurement Errors in Stratified Successive Sampling |
| title_short | Using ORRT Models for Mean Estimation under Nonresponse and Measurement Errors in Stratified Successive Sampling |
| title_sort | using orrt models for mean estimation under nonresponse and measurement errors in stratified successive sampling |
| url | http://dx.doi.org/10.1155/2023/1340068 |
| work_keys_str_mv | AT monicachoudhary usingorrtmodelsformeanestimationundernonresponseandmeasurementerrorsinstratifiedsuccessivesampling AT sanampreetkour usingorrtmodelsformeanestimationundernonresponseandmeasurementerrorsinstratifiedsuccessivesampling AT sunilkumar usingorrtmodelsformeanestimationundernonresponseandmeasurementerrorsinstratifiedsuccessivesampling AT carlosnbouza usingorrtmodelsformeanestimationundernonresponseandmeasurementerrorsinstratifiedsuccessivesampling AT agustinsantiago usingorrtmodelsformeanestimationundernonresponseandmeasurementerrorsinstratifiedsuccessivesampling |