Asymptotic normality of linear functions of concomitants of order statistics |
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Authors: | Dr Arne Sandström |
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Institution: | (1) Present address: FSAB/Statistics, S-11587 Stockholm, Sweden |
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Abstract: | Let T(
) be a linear function of concomitants of order statistics, whereT (·) denotes a statistical functional depending on some distribution function (df)F and
is an estimator ofF. Under an auxiliary model approach we consider statistics of the form
, where
denotes a weighted empirical df and
a finite population df (t denotes a triangular array). The results can be used to estimate income inequality in finite populations and especially when
the survey is based on some design.
The paper was written when the author was working at the Statistical Research Unit, Statistics Sweden, Stockholm, Sweden
The research was supported by the Joint Committé of the Nordic Social Research Council. |
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Keywords: | |
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