\input zb-basic \input zb-ioport \iteman{io-port 05973227} \itemau{Jin, Cheqing; Zhang, Yizhen; Zhou, Aoying} \itemti{Getting critical categories of a data set.} \itemso{Wang, Haixun (ed.) et al., Web-age information management. 12th international conference, WAIM 2011, Wuhan, China, September 14--16, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-23534-4/pbk). Lecture Notes in Computer Science 6897, 169-180 (2011).} \itemab Summary: Ranking query that is widely used in various applications is a fundamental kind of queries in the database management field. Although most of the existing work on ranking query focuses on getting top-$k$ high-score tuples from a data set, this paper focuses on getting top-$k$ critical categories from a data set, where each category is a data item in the nominal attribute or a combination of data items from more than one nominal attribute. To describe each category precisely, we use a data distribution that comes from the score attribute to represent each category, so that the set consisting of all categories can be treated as a probabilistic data set. In this paper, we devise a novel method to handle this issue. Analysis in theorem and experimental results show the effectiveness and efficiency of the proposed method. \itemrv{~} \itemcc{} \itemut{critical category; ranking query; possible world} \itemli{doi:10.1007/978-3-642-23535-1\_16} \end