{"title":"Estimation with incomplete frames using varying probability sampling with replacement","authors":"Jyoti, Sarla Pareek, P. C. Gupta","doi":"10.3233/mas-221379","DOIUrl":null,"url":null,"abstract":"Sampling frames are mostly incomplete in large scale surveys. This paper suggests the use of probability proportional to size with replacement (PPSWR) sampling scheme for estimation of population mean with an incomplete frame. The variance of the estimators has been obtained and its efficiency has been compared with Agarwal and Gupta (2008) estimator when the frame is not complete. The results obtained have been illustrated with the help of hypothetical data. The problem of determining optimum sample size and retainment factor has also been discussed using a suitable linear cost function.","PeriodicalId":35000,"journal":{"name":"Model Assisted Statistics and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Model Assisted Statistics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/mas-221379","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
Sampling frames are mostly incomplete in large scale surveys. This paper suggests the use of probability proportional to size with replacement (PPSWR) sampling scheme for estimation of population mean with an incomplete frame. The variance of the estimators has been obtained and its efficiency has been compared with Agarwal and Gupta (2008) estimator when the frame is not complete. The results obtained have been illustrated with the help of hypothetical data. The problem of determining optimum sample size and retainment factor has also been discussed using a suitable linear cost function.
期刊介绍：
Model Assisted Statistics and Applications is a peer reviewed international journal. Model Assisted Statistics means an improvement of inference and analysis by use of correlated information, or an underlying theoretical or design model. This might be the design, adjustment, estimation, or analytical phase of statistical project. This information may be survey generated or coming from an independent source. Original papers in the field of sampling theory, econometrics, time-series, design of experiments, and multivariate analysis will be preferred. Papers of both applied and theoretical topics are acceptable.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
