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Hájek, Jaroslav

On the theory of ratio estimates. (English. Czech, Russian summaries) Zbl 0156.39804

Apl. Mat. 3, 384-398 (1958).
Summary: Estimated variances, yielded by large sample approach, are adjusted by a proportional regression approach; subsequently, under the assumption of normality, exact statements on confidence intervals are arrived at. The paper deals too, with complex types of ratio estimates, as well as with modifications needed, when stratification, multiple stages, or some special methods of first-stage sampling are present.
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MSC:

62D05 Sampling theory, sample surveys
62F25 Parametric tolerance and confidence regions

Keywords:

statistics
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\textit{J. Hájek}, Apl. Mat. 3, 384--398 (1958; Zbl 0156.39804)
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References:

[1] Fieller E. C.: A fundamental formula in the statistics of biological assay, and some applications. Quart. Journ. Pharm. 17 (1944), 117- 123.
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