Investigation of Competent Estimation Procedure for Estimating the Finite Population Mean at Current Occasion Addressing
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Investigation of Competent Estimation Procedure for Estimating the Finite Population Mean at Current Occasion Addressing Non‑response in Two‑Occasion Successive Sampling Surya K. Pal1 · Housila P. Singh2 Accepted: 11 October 2020 © Grace Scientific Publishing 2020
Abstract This paper is an effort to investigate the effect of non-response at the current (second) occasion in successive sampling. Using the subsampling non-respondent procedure, some exponential-type estimators have been proposed to estimate the current population mean. Properties of the proposed class of estimators are examined, and respective optimum replacement strategies are derived. Empirical studies are carried out to evaluate the performances of the suggested estimators. The outcomes are interpreted, and appropriate recommendations have been made. Keywords Study variable · Auxiliary variable · Mean squared error · Successive sampling · Non-response Mathematics Subject Classification 62D05
1 Introduction A single-occasion survey provides information about the characteristics of the surveyed population for the given occasion only and may not give information about the rate of change of characteristics over different occasions and estimates of the characteristics over all occasions or on the most recent (current) occasion. To get such information, sampling is done on successive occasion and a part of the sample is retained, while the remainder of the sample is drawn a fresh for generating reliable estimates at different occasions. The kind of sampling procedure is known as successive (rotation) sampling. The theory of successive sampling with a partial * Surya K. Pal [email protected] 1
University School of Business, Chandigarh University, Mohali 140413, Punjab, India
2
School of Studies in Statistics, Vikram University, Ujjain 456010, M.P., India
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Vol.:(0123456789)
5
Page 2 of 31
Journal of Statistical Theory and Practice
(2021) 15:5
replacement of the sampling units was first given by Jessen [1] for analyzing the farm survey data. He pioneered using the whole information gathered in the previous occasions. The theory of successive sampling was further developed by Patterson [2], Rao and Graham [3], Singh et al. [4], Feng and Zou [5], Biradar and Singh [6] and Singh and Vishwakarma [7, 8], Singh and Pal [9, 10], Singh and Pal [11, 12] Arnab and Singh [13], Priyanka et al. [14], Singh et al. [15], Pal et al. [16] and Priyanka and Trisandhya [17] among others. Usually, almost all surveys suffer from the problem of non-response. Lack of information, absence at the time of survey, and refusal of the respondents are main reasons of the non-response. However, an extensive description of the different types of non-response and their effects on surveys could be found in Cochran [18]. Hansen and Hurwitz [19] considered the problem of non-response while estimating the population mean by taking a subsample from the non-respondents group with the help of some extra efforts and an estimator was suggested by combining the information
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