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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 11, Issue 3, August 2014 pp 177-182

Research Article

Minimal equations to find OBP in the estimation of pooled variance under equal allocation and fixed allocation

P B Bharate1, P C Gupta2, J C Agrawal3

1Associate Professor and Head, 3Assistant Professor, Department of Statistics, Pratap College Amalner Dist. Jalgaon, Maharashtra, INDIA.

2Ex. Professor and Head, Department of Statistics, Veer Narmada, South Gujrat University, Surat, Gujarat, INDIA.

Academic Editor: Dr. Dase R. K.


Bharate and Gupta (2013) suggested an estimator of the pooled variance and its variance is obtained when the parameter of interest is pooled variance. They have obtained minimal equations to obtain the OBP under the proportional allocation. In the present paper we have obtained the expression for variance of estimator under the equal allocation and fixed allocation. Minimal equations to get optimum boundary points(OBP) are derived by minimizing the variance of the estimator. The stratification is done on the study variable. Further, by assuming rectangular distribution within each stratum, optimum boundary points are obtained.

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