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Bounds on the bias of approximation of fractional record values

Bieniek M., Bieniek M., Szynal D.

Probability and Mathematical Statistics

2005

Vol. 25, Fasc. 2

197--210

We present sharp bounds for an approximation of fractional kth record values by convex combinations of ordinary kth record values. The bounds are ex-pressed in different scale units measured in pth central absolute moments of the under-lying distribution. The distributions which attain the bounds are also specified. The bounds are derived by the projection method.