Research Article

Modified systematic sampling in the presence of linear trend

Volume: 44 Number: 2 April 1, 2015
EN

Modified systematic sampling in the presence of linear trend

Abstract

A new systematic sampling design called “Modified Systematic Sampling (MSS)”, proposed by [2] is more general than Linear Systematic Sampling (LSS) and Circular Systematic Sampling (CSS). In the present paper, this scheme is further extended for populations having a linear trend. Expressions for mean and variance of sample mean are obtained for the population having perfect linear trend among population values. Expression for the average variance is also obtained for super population model. Further, efficiency of MSS with respect to CSS is obtained for different sample size. 

Keywords

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Zaheen Khan * This is me

Publication Date

April 1, 2015

Submission Date

November 5, 2013

Acceptance Date

May 7, 2014

Published in Issue

Year 2015 Volume: 44 Number: 2

APA
Khan, Z., & Shabbir, J. (2015). Modified systematic sampling in the presence of linear trend. Hacettepe Journal of Mathematics and Statistics, 44(2), 417-442. https://izlik.org/JA63MY46JG
AMA
1.Khan Z, Shabbir J. Modified systematic sampling in the presence of linear trend. Hacettepe Journal of Mathematics and Statistics. 2015;44(2):417-442. https://izlik.org/JA63MY46JG
Chicago
Khan, Zaheen, and Javid Shabbir. 2015. “Modified Systematic Sampling in the Presence of Linear Trend”. Hacettepe Journal of Mathematics and Statistics 44 (2): 417-42. https://izlik.org/JA63MY46JG.
EndNote
Khan Z, Shabbir J (April 1, 2015) Modified systematic sampling in the presence of linear trend. Hacettepe Journal of Mathematics and Statistics 44 2 417–442.
IEEE
[1]Z. Khan and J. Shabbir, “Modified systematic sampling in the presence of linear trend”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, pp. 417–442, Apr. 2015, [Online]. Available: https://izlik.org/JA63MY46JG
ISNAD
Khan, Zaheen - Shabbir, Javid. “Modified Systematic Sampling in the Presence of Linear Trend”. Hacettepe Journal of Mathematics and Statistics 44/2 (April 1, 2015): 417-442. https://izlik.org/JA63MY46JG.
JAMA
1.Khan Z, Shabbir J. Modified systematic sampling in the presence of linear trend. Hacettepe Journal of Mathematics and Statistics. 2015;44:417–442.
MLA
Khan, Zaheen, and Javid Shabbir. “Modified Systematic Sampling in the Presence of Linear Trend”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, Apr. 2015, pp. 417-42, https://izlik.org/JA63MY46JG.
Vancouver
1.Zaheen Khan, Javid Shabbir. Modified systematic sampling in the presence of linear trend. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Apr. 1;44(2):417-42. Available from: https://izlik.org/JA63MY46JG