Dr Ahmed Audu

(Department of Mathematics, Usmanu Danfodiyo University Sokoto, Nigeria)

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1. Olatunji olawoyin ishaq
2. ahmed audu
3. auwalu ibrahim
4. hassan s. abdulkadir
5. kabiru tukur

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Ratio
variance
two-stage sampling
mean square error (mse)
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On the linear combination of sample variance, ratio, and product estimators of finite population variance under two-stage sampling

Author : Olatunji olawoyin ishaq, ahmed audu, auwalu ibrahim, hassan s. abdulkadir, kabiru tukur

Keyword : Ratio, variance, two-stage sampling, mean square error (mse), efficiency

Subject : Statistics

Article Type : Original article (research)

DOI : http://dx.doi.org/10.5455/sf.90563

Article File : Full Text PDF

Abstract : Ratio estimators are sometime to be found less efficient. There is very little research to estimate the variance of the population, so in this work, an attempt was made to estimate the variance of the finite population under two-stage sampling in which the exponential ratio type estimator existing for estimating the variance of the finite population under two-stage sampling (case II) was modified and new five modified estimators for estimating finite population variance were obtained. The biases, mean square errors (MSEs), minimum MSEs, and PREs of proposed estimators were derived. The empirical study has been conducted with three real life data and the result shows that the proposed estimators have the minimum MSE and higher Percentage Relative Efficiency (PRE), which implies that the proposed estimators are more efficient than the existing estimators considered in the study.

Article by : Dr Ahmed Audu

Article add date : 2020-11-02


How to cite : Olatunji olawoyin ishaq, ahmed audu, auwalu ibrahim, hassan s. abdulkadir, kabiru tukur. (2020-November-02). On the linear combination of sample variance, ratio, and product estimators of finite population variance under two-stage sampling. retrieved from https://openacessjournal.com/abstract/341