Odongo, L. O.Okango, A. A2014-05-282014-05-282005Journal of Statistics East African Vol. 1 (1) : pp. 91-1081811-7503http://ir-library.ku.ac.ke/handle/123456789/9668Doi.org/10.4314Some 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.enQuantilesOrder statisticsOptimal spacingExponentialLogisticArticle