Abstract
By following ideas of Weiss [8] we investigate the approximate relative sufficiency between certain sets of ordered observations. The results enable us to give some bounds for the loss of power of test procedures when some of the observations are omitted from the sample. Moreover, it is shown that statistical procedures which are based on central ordered values or, respectively, on extreme values can approximately be studied within a normal model or an univariate extreme value model.
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© 1984 Springer Science+Business Media Dordrecht
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Reiss, RD., Falk, M., Weller, M. (1984). Inequalities for the Relative Sufficiency between Sets of Order Statistics. In: de Oliveira, J.T. (eds) Statistical Extremes and Applications. NATO ASI Series, vol 131. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3069-3_46
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DOI: https://doi.org/10.1007/978-94-017-3069-3_46
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