What do the arithmetic, geometric and harmonic means tell us in length- biased sampling ? (Q1084799)
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scientific article; zbMATH DE number 3980254
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | What do the arithmetic, geometric and harmonic means tell us in length- biased sampling ? |
scientific article; zbMATH DE number 3980254 |
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What do the arithmetic, geometric and harmonic means tell us in length- biased sampling ? (English)
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1987
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Properties of the arithmetic mean, the geometric mean and the harmonic mean for length-biased distributions are studied in a nonparametric fashion. Unbiased estimation of the coefficient of variation is considered, and a characterization of length-biased distributions is also made in this light.
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asymptotic normality
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Lorenz curve
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length-biased sampling
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arithmetic mean
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geometric mean
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harmonic mean
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Unbiased estimation
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coefficient of variation
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characterization of length-biased distributions
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