Sharp bounds on moments of generalized order statistics
β Scribed by Lestaw Gajek; Andrzej Okolewski
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 137 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0026-1335
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π SIMILAR VOLUMES
Su cient conditions for the existence of moments of generalized order statistics are established including an extension of Sen's theorem, which is valid in the very particular case of ordinary order statistics.
Asymmetric sharp bounds are obtained for the expected values of order statistics using Moriguti's idea of the greatest convex minorant. It rectifies some results in the literature.
Sharp distribution-free lower and upper bounds on the bias in estimating quantiles by the sample counterparts are obtained by the use of Moriguti's greatest convex minorant approach.
In this paper, we present p-norm bounds for the moments of progressive type II censored order statistics, measured in scale units generated by absolute moments of the parent distribution of a single observation. The bounds are established based on combining the Moriguti monotone approximations with