Double stage estimation of population variance |
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Authors: | B N Pandey |
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Institution: | (1) Banarasu Hindu University, India |
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Abstract: | Summary Consider a normal population with mean μ and variance σ2. We are interested in the estimation of population variance with the help of guess value σ
0
2
and a sample of observations. In this paper, a double stage shrinkage estimator
based on the shrinkage estimatorks
1
2
+(1-k)σ
0
2
ifs
1
2
∈R and the usual estimator
ifs
1
2
∋R, whereR is some specified region, have been proposed. The expressions for bias and mean squared error have been obtained. Comparison
with the usual estimators
2 have been made. It was found that though the largest gain is obtained fork=0, we can use
with 0≦k≦1/2 even when σ2 is very close to σ
0
2 |
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Keywords: | |
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