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A functional approach to estimating finite population distribution functions |
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| Authors: | Anthony YC Kuk TK Mak |
| Institution: | 1. Department of Statistics , University of New South Wales , P.O. Box 1, Kensington, NSW 2033, Australia;2. Department of Decision Sciences &3. Management Information System , Concordia University , 1455 De Maisonneuve Blvd. W, Montreal, Quebec, H3G 1M8, Canada |
| Abstract: | Existing estimators of a finite population distribution function that utilize auxiliary information are often constructed by a point wise argument. As a result, these estimators are not always monotone. We adopt a functional approach to the problem and propose two estimators based on compositions of functions. Asymptotic variance formulae are derived for the proposed es-timators. Comparisons are made with existing estimators in a simulation study using three natural populations. |
| Keywords: | auxiliary information design-based estimation distribution functions function compositions ratio estimator |