IJSTR

International Journal of Scientific & Technology Research

IJSTR@Facebook IJSTR@Twitter IJSTR@Linkedin
Home About Us Scope Editorial Board Blog/Latest News Contact Us
Scopus/Elsevier
CALL FOR PAPERS
AUTHORS
DOWNLOADS
CONTACT
QR CODE
IJSTR-QR Code

IJSTR >> Volume 9 - Issue 1, January 2020 Edition



International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616



Weighted Estimator Of Population Mean Under Stratified Random Sampling

[Full Text]

 

AUTHOR(S)

Sarbjit Singh Brar, Ravinder Kumar

 

KEYWORDS

Stratified Random Sampling, Proportional Allocation, Optimum Allocation, Weighted Estimator.

 

ABSTRACT

In this paper, an unbiased weighted estimator of population mean is introduced in stratified random sampling which uses the information of mean square of each stratum at the estimation stage. It is shown that the proposed estimator is better than usual estimator of population mean under arbitrary and proportional allocation in stratified random sampling. Further, under certain conditions, it is proved that the proposed estimator under proportional allocation is better than usual estimator under Neyman’s allocation (Optimum allocation) and both are equally efficient if each of the stratum has equal coefficient of variation. A simulation study is carried out to verify the proposed results.

 

REFERENCES

[1] A. Bowley, “Measurement of the precision attained in sampling” Bull. Int. Stat. Inst. Amsterdam, 22:1–62, 1926.
[2] J. Neyman, “On the two different aspects of the representative method: the method of stratified sampling and the method of purposive selection” Journal of the Royal Statistical Society, 97(4):558–625, 1934.
[3] P. V. Sukhatme, B. Sukhatme, S. Sukhatme, and C. Asok. Sampling theory of surveys with applications 3d ed, Iowa state University Press, U.S.A. 1984.
[4] P. Sukhatme, “Contribution to the theory of the representative method” Supplement to the Journal of the Royal Statistical Society, 2(2):253–268, 1935.
[5] A. Tshuprow, “On the mathematical expectation of the moments of frequency distributions in the case of correlated observations” Metron, 2(4), 646-683, 1923.
[6] T. Wright, “ The equivalence of neyman optimum allocation for sampling and equal proportions for apportioning the us house of representatives” The American Statistician, 66(4):217–224, 2012.
[7] T. Wright, “A simple method of exact optimal sample allocation under stratification with any mixed constraint patterns” Research Report series (Statistics 2014-17), Center for Statistical Research and Methodology, U.S. Bureau of the Census, Washington, D.C., 2014.
[8] T. Wright, “Exact optimal sample allocation: More efficient than neyman” Statistics & Probability Letters, 129:50–57, 2017.