Optimum Estimation of Finite Population Variance Under Generalised Random Permutation Models

1984 ◽  
Vol 33 (1-2) ◽  
pp. 93-104 ◽  
Author(s):  
Parimal Mukhopadhyay
Keyword(s):  
General Class ◽  
Finite Population ◽  
Random Permutation ◽  
Population Variance ◽  
Optimum Estimation ◽  
Optimal Estimator ◽  
Permutation Models ◽  
Optimal Estimators

Considering certain generalised random permutation models we have derived optimal estimators of finite population variance within a general class of quadratic estimators. The class of non-negative unbiased polynomial estimators of variance has also been examined and an optimal estimator within that class has been derived under this model.

scholarly journals A Study on the Chain Ratio-Type Estimator of Finite Population Variance

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Yunusa Olufadi ◽  
Cem Kadilar
Keyword(s):  
Finite Population ◽  
Numerical Comparison ◽  
Mean Square ◽  
Auxiliary Variables ◽  
Population Variance ◽  
Two Phase ◽  
First Order ◽  
Phase Sampling ◽  
The Mean ◽  
Two Phase Sampling

We suggest an estimator using two auxiliary variables for the estimation of the unknown population variance. The bias and the mean square error of the proposed estimator are obtained to the first order of approximations. In addition, the problem is extended to two-phase sampling scheme. After theoretical comparisons, as an illustration, a numerical comparison is carried out to examine the performance of the suggested estimator with several estimators.

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