ISSN 1119-4618
 

Original Research 


ON THE LINEAR COMBINATION OF SAMPLE VARIANCE, RATIO AND PRODUCT ESTIMATORS OF FINITE POPULATION VARIANCE UNDER TWO STAGE SAMPLING

Ishaq Olatunji Olawoyin, Ahmed Audu, Auwalu Ibrahim, Hassan Sarki Abdulkadir, Tukur Kabiru.

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, 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 PRE, which implies that the proposed estimators are more efficient than the existing estimators considered in the study.

Key words: Ratio, Variance, Two-stage sampling, Mean square error (MSE), Efficiency.


 
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How to Cite this Article
Pubmed Style

Olawoyin IO, Audu A, Ibrahim A, Abdulkadir HS, Kabiru T, . ON THE LINEAR COMBINATION OF SAMPLE VARIANCE, RATIO AND PRODUCT ESTIMATORS OF FINITE POPULATION VARIANCE UNDER TWO STAGE SAMPLING. JPAS. 2020; 20(3): 307-315. doi:10.5455/sf.90563


Web Style

Olawoyin IO, Audu A, Ibrahim A, Abdulkadir HS, Kabiru T, . ON THE LINEAR COMBINATION OF SAMPLE VARIANCE, RATIO AND PRODUCT ESTIMATORS OF FINITE POPULATION VARIANCE UNDER TWO STAGE SAMPLING. http://www.atbuscienceforum.com/?mno=90563 [Access: June 06, 2020]. doi:10.5455/sf.90563


AMA (American Medical Association) Style

Olawoyin IO, Audu A, Ibrahim A, Abdulkadir HS, Kabiru T, . ON THE LINEAR COMBINATION OF SAMPLE VARIANCE, RATIO AND PRODUCT ESTIMATORS OF FINITE POPULATION VARIANCE UNDER TWO STAGE SAMPLING. JPAS. 2020; 20(3): 307-315. doi:10.5455/sf.90563



Vancouver/ICMJE Style

Olawoyin IO, Audu A, Ibrahim A, Abdulkadir HS, Kabiru T, . ON THE LINEAR COMBINATION OF SAMPLE VARIANCE, RATIO AND PRODUCT ESTIMATORS OF FINITE POPULATION VARIANCE UNDER TWO STAGE SAMPLING. JPAS. (2020), [cited June 06, 2020]; 20(3): 307-315. doi:10.5455/sf.90563



Harvard Style

Olawoyin, I. O., Audu, A., Ibrahim, A., Abdulkadir, H. S., Kabiru, T. & (2020) ON THE LINEAR COMBINATION OF SAMPLE VARIANCE, RATIO AND PRODUCT ESTIMATORS OF FINITE POPULATION VARIANCE UNDER TWO STAGE SAMPLING. JPAS, 20 (3), 307-315. doi:10.5455/sf.90563



Turabian Style

Olawoyin, Ishaq Olatunji, Ahmed Audu, Auwalu Ibrahim, Hassan Sarki Abdulkadir, Tukur Kabiru, and . 2020. ON THE LINEAR COMBINATION OF SAMPLE VARIANCE, RATIO AND PRODUCT ESTIMATORS OF FINITE POPULATION VARIANCE UNDER TWO STAGE SAMPLING. Science Forum (Journal of Pure and Applied Sciences), 20 (3), 307-315. doi:10.5455/sf.90563



Chicago Style

Olawoyin, Ishaq Olatunji, Ahmed Audu, Auwalu Ibrahim, Hassan Sarki Abdulkadir, Tukur Kabiru, and . "ON THE LINEAR COMBINATION OF SAMPLE VARIANCE, RATIO AND PRODUCT ESTIMATORS OF FINITE POPULATION VARIANCE UNDER TWO STAGE SAMPLING." Science Forum (Journal of Pure and Applied Sciences) 20 (2020), 307-315. doi:10.5455/sf.90563



MLA (The Modern Language Association) Style

Olawoyin, Ishaq Olatunji, Ahmed Audu, Auwalu Ibrahim, Hassan Sarki Abdulkadir, Tukur Kabiru, and . "ON THE LINEAR COMBINATION OF SAMPLE VARIANCE, RATIO AND PRODUCT ESTIMATORS OF FINITE POPULATION VARIANCE UNDER TWO STAGE SAMPLING." Science Forum (Journal of Pure and Applied Sciences) 20.3 (2020), 307-315. Print. doi:10.5455/sf.90563



APA (American Psychological Association) Style

Olawoyin, I. O., Audu, A., Ibrahim, A., Abdulkadir, H. S., Kabiru, T. & (2020) ON THE LINEAR COMBINATION OF SAMPLE VARIANCE, RATIO AND PRODUCT ESTIMATORS OF FINITE POPULATION VARIANCE UNDER TWO STAGE SAMPLING. Science Forum (Journal of Pure and Applied Sciences), 20 (3), 307-315. doi:10.5455/sf.90563