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Year 2018, Volume: 47 Issue: 3, 675 - 684, 01.06.2018

Abstract

References

  • Bandyopadhyay, A. and Singh, G. N. Estimation of population mean in presence of non response in two-occasion successive sampling, Recent Advances in Information Technology, 109-116, 2014.
  • Choudhary, R., Bathla, H., and Sud, U. On non-response in sampling on two occasions, Journal of the Indian Society of Agricultural Statistics, 58 (3), 331-343, 2004.
  • Diana, G. and Perri, P. F. New scrambled response models for estimating the mean of a sensitive quantitative character, Journal of Applied Statistics, 37 (11), 1875-1890.
  • Diana, G., Riaz, S., and Shabbir, J. Hansen and hurwitz estimator with scrambled response on the second call, Journal of Applied Statistics, 41(3), 596-611, 2014.
  • FBI. Violations of the Federal Bank Robbery and Incidental Crime Statute, Federal Bereau of Investigation, 2011.
  • Feng, S. and Zou, G. Sample rotation method with auxiliary variable, Communications in Statistics-Theory and Methods, 26 (6), 1497-1509, 1997.
  • Hansen, M. H. and Hurwitz, W. N. The problem of non-response in sample surveys. Journal of the American Statistical Association, 41 (236), 517-529, 1946.
  • Jessen, R. J. Statistical investigation of a sample survey for obtaining farm facts, Retro- spective Theses and Dissertations, 1943.
  • Patterson, H. Sampling on successive occasions with partial replacement of units, Journal of the Royal Statistical Society, 12 (2), 241-255, 1950.
  • Prabhu-Ajgaonkar, S. The theory of univariate sampling on successive occasions under the general correlation pattern 1, 2, Australian Journal of Statistics, 10 (2), 56-63, 1968.
  • Rao, J. and Graham, J. E. Rotation designs for sampling on repeated occasions. Journal of the American Statistical Association, 59 (306), 492-509, 1964.
  • Sen, A. Some theory of sampling on successive occasions, Australian Journal of Statistics, 15 (2), 105-110, 1973.
  • Singh, G. N., Majhi, D., Maurya, S., and Sharma, A. Some eective rotation patterns in estimation of population mean in two-occasion successive sampling. Communications in Statistics-Theory and Methods, 44 (12), 2571-2585, (2015).
  • Singh, G. N. and Sharma, A. An alternative rotation patterns in two occasions successive sampling, International Journal of Mathematics and Statistics. 15(3), 9-22, 2014.
  • Singh, G. N. and Karna, J. P. Some imputation methods to minimize the eect of non- response in two occasion rotation patterns, Communications in Statistics-Theory and Meth- ods, 39(18), 3264-3281, 2010.
  • Tikkiwal, B. Theory of multiphase sampling from a nite or an innite population on successive occasions 1, 2, Revue de l'Institut International de Statistique, 247-263, 1967.
  • Yates, F. Sampling methods for censuses and surveys, Charles Grin & Co. Ltd., London, (1949)

Use of scrambled responses on two occasions successive sampling under non-response

Year 2018, Volume: 47 Issue: 3, 675 - 684, 01.06.2018

Abstract

In this paper, we deal with a problem of non-response on two successive occasions when the study character becomes sensitive in nature on second occasion. Estimators are formulated by considering two cases of non-response, (i) when non-response on both occasions, (ii) when non-response on current occasion only. Expressions for mean squared errors (MSEs) are derived under large sample approximation and the optimum replacement strategies are also discussed. A numerical study is carried out in support of the proposed technique.

References

  • Bandyopadhyay, A. and Singh, G. N. Estimation of population mean in presence of non response in two-occasion successive sampling, Recent Advances in Information Technology, 109-116, 2014.
  • Choudhary, R., Bathla, H., and Sud, U. On non-response in sampling on two occasions, Journal of the Indian Society of Agricultural Statistics, 58 (3), 331-343, 2004.
  • Diana, G. and Perri, P. F. New scrambled response models for estimating the mean of a sensitive quantitative character, Journal of Applied Statistics, 37 (11), 1875-1890.
  • Diana, G., Riaz, S., and Shabbir, J. Hansen and hurwitz estimator with scrambled response on the second call, Journal of Applied Statistics, 41(3), 596-611, 2014.
  • FBI. Violations of the Federal Bank Robbery and Incidental Crime Statute, Federal Bereau of Investigation, 2011.
  • Feng, S. and Zou, G. Sample rotation method with auxiliary variable, Communications in Statistics-Theory and Methods, 26 (6), 1497-1509, 1997.
  • Hansen, M. H. and Hurwitz, W. N. The problem of non-response in sample surveys. Journal of the American Statistical Association, 41 (236), 517-529, 1946.
  • Jessen, R. J. Statistical investigation of a sample survey for obtaining farm facts, Retro- spective Theses and Dissertations, 1943.
  • Patterson, H. Sampling on successive occasions with partial replacement of units, Journal of the Royal Statistical Society, 12 (2), 241-255, 1950.
  • Prabhu-Ajgaonkar, S. The theory of univariate sampling on successive occasions under the general correlation pattern 1, 2, Australian Journal of Statistics, 10 (2), 56-63, 1968.
  • Rao, J. and Graham, J. E. Rotation designs for sampling on repeated occasions. Journal of the American Statistical Association, 59 (306), 492-509, 1964.
  • Sen, A. Some theory of sampling on successive occasions, Australian Journal of Statistics, 15 (2), 105-110, 1973.
  • Singh, G. N., Majhi, D., Maurya, S., and Sharma, A. Some eective rotation patterns in estimation of population mean in two-occasion successive sampling. Communications in Statistics-Theory and Methods, 44 (12), 2571-2585, (2015).
  • Singh, G. N. and Sharma, A. An alternative rotation patterns in two occasions successive sampling, International Journal of Mathematics and Statistics. 15(3), 9-22, 2014.
  • Singh, G. N. and Karna, J. P. Some imputation methods to minimize the eect of non- response in two occasion rotation patterns, Communications in Statistics-Theory and Meth- ods, 39(18), 3264-3281, 2010.
  • Tikkiwal, B. Theory of multiphase sampling from a nite or an innite population on successive occasions 1, 2, Revue de l'Institut International de Statistique, 247-263, 1967.
  • Yates, F. Sampling methods for censuses and surveys, Charles Grin & Co. Ltd., London, (1949)
There are 17 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Statistics
Authors

Noreen Naeem This is me

Javid Shabbir

Publication Date June 1, 2018
Published in Issue Year 2018 Volume: 47 Issue: 3

Cite

APA Naeem, N., & Shabbir, J. (2018). Use of scrambled responses on two occasions successive sampling under non-response. Hacettepe Journal of Mathematics and Statistics, 47(3), 675-684.
AMA Naeem N, Shabbir J. Use of scrambled responses on two occasions successive sampling under non-response. Hacettepe Journal of Mathematics and Statistics. June 2018;47(3):675-684.
Chicago Naeem, Noreen, and Javid Shabbir. “Use of Scrambled Responses on Two Occasions Successive Sampling under Non-Response”. Hacettepe Journal of Mathematics and Statistics 47, no. 3 (June 2018): 675-84.
EndNote Naeem N, Shabbir J (June 1, 2018) Use of scrambled responses on two occasions successive sampling under non-response. Hacettepe Journal of Mathematics and Statistics 47 3 675–684.
IEEE N. Naeem and J. Shabbir, “Use of scrambled responses on two occasions successive sampling under non-response”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 3, pp. 675–684, 2018.
ISNAD Naeem, Noreen - Shabbir, Javid. “Use of Scrambled Responses on Two Occasions Successive Sampling under Non-Response”. Hacettepe Journal of Mathematics and Statistics 47/3 (June 2018), 675-684.
JAMA Naeem N, Shabbir J. Use of scrambled responses on two occasions successive sampling under non-response. Hacettepe Journal of Mathematics and Statistics. 2018;47:675–684.
MLA Naeem, Noreen and Javid Shabbir. “Use of Scrambled Responses on Two Occasions Successive Sampling under Non-Response”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 3, 2018, pp. 675-84.
Vancouver Naeem N, Shabbir J. Use of scrambled responses on two occasions successive sampling under non-response. Hacettepe Journal of Mathematics and Statistics. 2018;47(3):675-84.