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Details van artikel 17 van 19 gevonden artikelen
| Titel: |
Robust estimation of location in samples of size three |
| Auteur: |
Stefanski, Leonard A. Meredith, Michael |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 15 (1986) nr. 10 pagina's 2921-2933 |
| Jaar: |
1986 |
| Inhoud: |
Youden (1953) discussed the practice of averaging the two most concordant observations in sets of three measurements as a method of estimating location. Distributional results for this estimator can be found in Seth (1950) and Lieblein (1952). It follows from their work that the sample median has smaller variance for normal and uniform populations. In this paper it is shown that themedian stochastically dominates the average of the two closest observations for uniform, normal, double-exponential and Cauchy populations and thus is the superior resistant estimator in these cases for a broad class of loss functions. However, an example is given in which, for a particular contaminaion model and loss function, the mean of the closest two observations has smaller risk than the median. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 17 van 19 gevonden artikelen
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