Jackknife winsorized variance estimator under imputed data

Author:

Sohil Fariha1,Sohail Muhammad Umair2ORCID,Shabbir Javid3ORCID,Gupta Sat4

Affiliation:

1. Department of Education , The Women University , Multan , Pakistan .

2. Department of Statistics , University of Narowal , Narowal , Pakistan .

3. Department of Statistics , Quaid-i-Azam University , Islamabad , Pakistan .

4. Department of Mathematics and Statistics , University of North Carolina , Greensboro , USA .

Abstract

Abstract In the present study, we consider the problem of missing and extreme values for the estimation of population variance. The presence of extreme values either in the study variable, or the auxiliary variable, or in both of them, can adversely affect the performance of the estimation procedure. We consider three different situations for the presence of extreme values and also consider jackknife variance estimators for the population variance by handling these extreme values under stratified random sampling. Bootstrap technique ABB is carried out to understand the relative relationship more precisely.

Publisher

Polskie Towarzystwo Statystyczne

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference21 articles.

1. Chen, Q., Elliott, M. R., Haziza, D., Yang, Y., Ghosh, M., Little, R. J., and Thompson, M., (2017). Approaches to improving survey-weighted estimates. Statistical Science, 32(2), pp. 227–248.10.1214/17-STS609

2. Fay, R. E., (1993). Valid inferences from imputed survey data, “in proceedings of the survey research methods”. Journal of the American Statistical Association, 1, pp. 227–232.

3. Korn, E. L., Graubard, B. I., (2011). Analysis of health surveys (Vol. 323), John Wiley & Sons.

4. Kovar, J. G., Chen, E. J., (1994). Jackknife variance estimation of imputed survey data. Survey Methodology, 20, pp. 45–52.

5. Little, R., Rubin, D. B., (1987). Statistical Analysis With Missing Data, New York: Wiley.

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