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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 5

Almost unbiased estimation procedures of population mean in two-occasion successive sampling

G. N. SİNGH
A. K. SİNGH
Cem KADİLAR
Sayfa
1268–1280
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Empirical results are critically interpreted and suitable recommendations are made to the survey practitioners for their practical applications.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The objective of this paper is to construct some unbiased estimators of the current population mean in two-occasion successive sampling.
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Temel Bulgular & Veri:Theoretical properties of the proposed estimation procedures have been examined and their respective optimum replacement strategies are formulated.
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Sonuç & Katkı:Empirical results are critically interpreted and suitable recommendations are made to the survey practitioners for their practical applications.
🔬Tür:Uygulamalı Anket & Alan Araştırması
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Successive sampling · Auxiliary information · Bias

Abstract

The objective of this paper is to construct some unbiased estimators of the current population mean in two-occasion successive sampling. Utilizing the readily available information on an auxiliary variable on both occasions, almost unbiased ratio and regression cum exponential type estimators of current population mean have been proposed. Theoretical properties of the proposed estimation procedures have been examined and their respective optimum replacement strategies are formulated. Performances of the proposed estimators are empirically compared with (i) the sample mean estimator, when no sample units were matched from the previous occasion and (ii) natural successive sampling estimator when no auxiliary information was used on any occasion. Empirical results are critically interpreted and suitable recommendations are made to the survey practitioners for their practical applications.

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Bu Makaleye Atıf Yap

SİNGH, G. N., SİNGH, A. K., KADİLAR, C. (2022). Almost unbiased estimation procedures of population mean in two-occasion successive sampling. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1268–1280. https://ajindex.com/articles/529868

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Kaynakça (18)

  1. Biradar, R. S. and Singh, H. P. Successive sampling using auxiliary information on both occasions. Calcutta Statistical Association Bulletin, 51, 243-251, 2001.
  2. Chaturvedi, D. K. and Tripathi, T. P. Estimation of population ratio on two occasions using multivariate auxiliary information. Journal of Indian Statistical Association, 21,113- 120, 1983.
  3. Cochran, W. G. Sampling Techniques, Wiley Eastern Limited, New Delhi, III Edition, 1977.
  4. Das, A. K. Estimation of population ratio on two occasions.Journal Indian Society Agricul- tures Statistics, 34, 1-9, 1982
  5. Feng, S. and Zou, G. Sample rotation method with auxiliary variable. Communications in Statistics-Theory and Methods, 26, 6, 1497-1509, 1997.
  6. Gupta, P. C. Sampling on two successive occasions. Journal Statistical Research,13, 7-16, 1979.
  7. Jessen, R.J. Statistical Investigation of a Sample Survey for obtaining farm facts. Iowa Agricultural Experiment Station Research Bulletin No. 304, Ames, Iowa, U. S. A., 1-104, 1942.
  8. Patterson, H. D. Sampling on successive occasions with partial replacement of units. Journal of the Royal Statistical Society,12, 241-255, 1950.
  9. Rao, J. N. K. and Graham, J. E. Rotation design for sampling on repeated occasions. Journal of the American Statististical Association, 59, 492-509, 1964.
  10. Reddy, V. N. (1978): A study on the use of prior knowledge on certain population parameters in the estimation. Sankhya, Series C, 40, 29-37, 1978.
  11. Sen, A. R. Successive sampling with two auxiliary variables. Sankhya, 33, Series B,371-378, 1971.
  12. Sen, A. R. Successive sampling with $p(p\geq 1)$ auxiliary variables. The Annals Mathematical Statististics, 43, 2031-2034, 1972.
  13. Sen, A. R. Theory and application of sampling on repeated occasions with several auxiliary variables. Biometrics 29, 381-385, 1973.
  14. Singh, V. K., Singh, G. N. and Shukla, D. (1991): An efficient family of ratio-cum-difference type estimators in successive sampling over two occasions. Journal of Scientific Research 41 C,149-159, 1991.
  15. Singh, G. N. On the use of chain-type ratio estimator in successive sampling. Statistics in Transition, 7(1), 21-26, 2005.
  16. Singh, G. N. and Singh, V. K. On the use of auxiliary information in successive sampling. Journal Indian Society Agricultures Statistics, 54(1), 1-12, 2001.
  17. Singh, G. N. and Homa, F. Effective rotation patterns in successive sampling over two occasions. Journal of Statistical Theory and Practice, 7(1), 146-155, 2013.
  18. Singh, G. N. and Karna, J. P. Estimation of population mean on