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Asymptotic linear estimation of the quantile function of a location-scale family of distributions based on selected order statistics
Abstract
Some general asymptotic methods of estimating the quantile function, Q(ξ), 0>ξ>1 of location-scale families of distributions based on a few selected order statistics are considered, with applications to some non-regular distributions. Specific results are discussed for the ABLUE of Qξ for the location-scale exponential and double exponential distributions. As a further application of the exponential results, we discuss the asymptotically best optimal spacings for the location-scale logistic distribution.
Keywords: Quantiles; Order statistics; Optimal spacing; Exponential; Logistic
> East African Journal of Statistics Vol. 1 (1) 2005: pp. 91-108