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Development Of Chain-Type Exponential Estimators For Population Variance In Two-Phase Sampling Design In Presence Of Random Non-Response

Author

Listed:
  • Singh G. N.
  • Kumar Amod
  • Vishwakarma Gajendra K.

    (Department of applied Mathematics, Indian Institute of Technology (ISM) Dhanbad, Jharkhand, India)

Abstract

In this paper, an investigation has been carried out to deal with a unified approach of estimation procedures of population variance in two-phase sampling design under missing at random non-response mechanism circumstances. Using two auxiliary variables, we have developed different chain-type exponential estimators of finite population variance for two different set-ups and studied their properties under the different assumption of random non-response considered by Tracy and Osahan (1994). The comparisons of the proposed estimators have been made with some contemporary estimators of population variance under the similar realistic conditions. Numerical illustrations are presented to support the theoretical results. Results are analysed and suitable recommendations are put forward to the survey statisticians.

Suggested Citation

  • Singh G. N. & Kumar Amod & Vishwakarma Gajendra K., 2018. "Development Of Chain-Type Exponential Estimators For Population Variance In Two-Phase Sampling Design In Presence Of Random Non-Response," Statistics in Transition New Series, Polish Statistical Association, vol. 19(4), pages 575-596, December.
    • Handle: RePEc:vrs:stintr:v:19:y:2018:i:4:p:575-596:n:7
    DOI: 10.21307/stattrans-2018-031
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    References listed on IDEAS

    as
    1. H. Singh & P. Chandra & Anwar Joarder & Sarjinder Singh, 2007. "Family of estimators of mean, ratio and product of a finite population using random nonresponse," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(3), pages 565-597, December.
    2. Housila Singh & Mariano Ruiz Espejo, 2007. "Double Sampling Ratio-product Estimator of a Finite Population Mean in Sample Surveys," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(1), pages 71-85.
    3. B. Kiregyera, 1980. "A chain ratio-type estimator in finite population double sampling using two auxiliary variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 27(1), pages 217-223, December.
    Full references (including those not matched with items on IDEAS)

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