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<p>This article considers the problem of estimating finite population mean on the current occasion in two-occasion successive sampling where random non-response situation prevails. Chain-type ratio and regression estimator has been proposed to estimate the population mean on the current occasion. Optimum replacement policies for the proposed estimators have been discussed. To examine the effectiveness of the proposed strategy, we have compared its performance over the natural sample mean estimator and regression estimator defined under the similar circumstances but in complete response situations. Results have been justified through empirical interpretations followed by suitable recommendations. Fuzzy tools have been deployed to assess an optimization zone for the proposed estimator. We have applied Type-II Fuzzy Inference System (FIS) to locate the dominance ranges for the proposed strategy over the conventional ones which survey statisticians may utilize. Negative loss in efficiency of the proposed estimator over conventional estimator for various values of the parameters indicates its dominance.</p>

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Estimation of Population Mean in Successive Sampling in Presence of Random Non-Response Situations Using Type-II Fuzzy Tools

  • 期刊论文

  • 发表日期：

    2026年5月6日

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  • A. Bandyopadhyay,
  • P. Parichha,
  • D. Bhattacharyya,
  • P. Mukhopadhyay

摘要

This article considers the problem of estimating finite population mean on the current occasion in two-occasion successive sampling where random non-response situation prevails. Chain-type ratio and regression estimator has been proposed to estimate the population mean on the current occasion. Optimum replacement policies for the proposed estimators have been discussed. To examine the effectiveness of the proposed strategy, we have compared its performance over the natural sample mean estimator and regression estimator defined under the similar circumstances but in complete response situations. Results have been justified through empirical interpretations followed by suitable recommendations. Fuzzy tools have been deployed to assess an optimization zone for the proposed estimator. We have applied Type-II Fuzzy Inference System (FIS) to locate the dominance ranges for the proposed strategy over the conventional ones which survey statisticians may utilize. Negative loss in efficiency of the proposed estimator over conventional estimator for various values of the parameters indicates its dominance.