Improved Class of Ratio -Cum- Product Estimators of Finite Population Mean in Two Phase Sampling

Waikhom Chanu; B. Singh

Improved Class of Ratio-Cum-Product Estimators of Finite Population Mean in two Phase Sampling

Waikhom Warseen Chanu * §

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B. K. Singh

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§ North Eastern Regional Institute of Science and Tech...

Improved Class of Ratio-Cum-Product Estimators of Finite Population Mean in two Phase Sampling

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Abstract

In the present study, we have proposed a class of ratio-cum-product estimators for estimating finite population ¯ Y mean of the study variable y in two phase sampling. The bias and mean square error of the proposed estimator have been obtained. The asymtotically optimum estimator (AOE) in this class has also been identified along with its approximate bias and mean square error. Comparison of the proposed class of estimators with other estimators is also worked out theoretically to demonstrate the superiority of the proposed estimator over the other estimators.

References

7 Cites in Article

Reference Format

1. S. Choudhury,B. Singh (2011). An improved class of ratio-cum-product estima- tor of finite population mean in simple random sampling. International Journal of Statistics and Analysis, 1(4), 393-403.
2. W. Cochran (1940). The estimation of the yields of cereal experiments by sampling for the ratio of grain to total produce. The Journal of Agricultural Science, 30(2), 262-275.
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3. M. Murthy (1967). Sampling: theory and methods. Series in probability and statistics.
4. J. Neyman (1938). Contribution to the Theory of Sampling Human Populations. Journal of the American Statistical Association, 33(201), 101-116.
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5. D. Robson (1957). Applications of Multivariate Polykays to the Theory of Unbiased Ratio-Type Estimation. Journal of the American Statistical Association, 52(280), 511-522.
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6. S. Shah,D. Shah (1978). Ratio cum product estimators for estimating ratio (product) of two population parameters. Sankhya, 40, 156-166.
7. B. Sharma,R. Tailor (2010). A new ratio-cum-dual to ratio estimator of finite Global Journal of Science Frontier population mean in simple random sampling.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Waikhom Warseen Chanu, B. K. Singh. 2014. "Improved Class of Ratio-Cum-Product Estimators of Finite Population Mean in two Phase Sampling". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue 16 (F2)).

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GJSFR Volume 14 Issue 16 (F2)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

asymptotically optimum estimator Bias mean Mean square error ratio-cum-product two phase sampling

Classification

GJSFR-F Classification 62D05

Submission ReceivedMarch 18, 2014
Peer Review Double Blind
Handling Editor
Accepted April 16, 2014
Published April 29, 2014

Version of record

v1.2

Issue date

April 29, 2014

Language

English

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Article Matrices

Total Score: 102

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Waikhom Warseen Chanu, B. K. Singh (PhD/Dr. count: 0)

View Count (all-time): 434

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Total Downloads (simulated): 172

Publish Date: 2014 04, Wed

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Total Views: 2K

Total Downloads: 172

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