# The Effect of Increasing Sample Size on the Precision of an Estimator

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3,990 citations

### "The Effect of Increasing Sample Siz..." refers methods in this paper

...Consider the sampling procedure introduced by Hansen and Hurwitz [2] and generalized by Horvitz and Thompson [3] and Midzuno [4] wherein the population elements are drawn without replacement with varying probabilities of selection at each draw....

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565 citations

### "The Effect of Increasing Sample Siz..." refers background or methods in this paper

...Consider the sampling procedure introduced by Hansen and Hurwitz [2] and generalized by Horvitz and Thompson [3] and Midzuno [4] wherein the population elements are drawn without replacement with varying probabilities of selection at each draw....

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...It is the well recognized fact that in sampling with varying probabilities, the probabilities are determined so as to incorporate the supplementary information into the sampling procedure and thus reducing considerably the sampling variance of the estimator, as noted by Hansen and Hurwitz [2]....

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194 citations

### "The Effect of Increasing Sample Siz..." refers background or methods in this paper

...Considered below is a particular specification of general sampling procedure underlying this principle, which is attributed to Midzuno [4]....

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...Consider the sampling procedure introduced by Hansen and Hurwitz [2] and generalized by Horvitz and Thompson [3] and Midzuno [4] wherein the population elements are drawn without replacement with varying probabilities of selection at each draw....

[...]

94 citations

### "The Effect of Increasing Sample Siz..." refers background in this paper

...Here it is pertinent to point out that the estimator t' was first suggested by Sukhatme [5] for a sample of size two and subsequently by Des Raj [1] for a linear combination of n unbiased estimators....

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