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\footnotesize
\noindent Statistica Sinica {\bf 13}(2003), 83-95
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\centerline{\large\bf SMOOTHED EMPIRICAL LIKELIHOOD CONFIDENCE}
\vspace{2pt}
\centerline{\large\bf INTERVALS FOR THE DIFFERENCE OF QUANTILES}
\vspace{.25cm}
\centerline{Wang Zhou and Bing-Yi Jing}
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\centerline{\it Hong Kong University of Science and Technology}
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\noindent {\it Abstract:}
This paper is concerned with inference for the population quantile difference
(e.g., the interquartile range).  Although normal approximations could be used
for this purpose, they usually give poor performances unless the sample size is
sufficiently large. In this paper, we investigate the use of the nonparametric
likelihood method. Numerical results will be presented to compare its
performance with other methods. \par
\vspace{9pt}
\noindent {\it Key words and phrases:}
Bandwidth, confidence  interval, quantile  difference,
smoothed empirical likelihood.\par
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