Approximate medians and other quantiles in one pass and with limited memory Export

@misc{citeulike:3934915, abstract = {We present new algorithms for computing approximate quantiles of large datasets in a single pass. The approximation guarantees are explicit, and apply without regard to the value distribution or the arrival distributions of the dataset. The main memory requirements are smaller than those reported earlier by an order of magnitude. We also discuss methods that couple the approximation algorithms with random sampling to further reduce memory requirements. With sampling, the approximation guarantees are explicit but probabilistic, i.e., they apply with respect to a (user controlled) confidence parameter. We present the algorithms, their theoretical analysis and simulation results. 1}, author = {Manku, Gurmeet S. and Rajagopalan, Sridhar and Lindsay, Bruce G.}, citeulike-article-id = {3934915}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.6513}, keywords = {median, quantiles}, pages = {426--435}, posted-at = {2009-01-23 23:27:40}, priority = {2}, title = {Approximate medians and other quantiles in one pass and with limited memory}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.6513}, year = {1998} }

TY - ELEC ID - citeulike:3934915 L3 - citeulike-article-id:3934915 N2 - We present new algorithms for computing approximate quantiles of large datasets in a single pass. The approximation guarantees are explicit, and apply without regard to the value distribution or the arrival distributions of the dataset. The main memory requirements are smaller than those reported earlier by an order of magnitude. We also discuss methods that couple the approximation algorithms with random sampling to further reduce memory requirements. With sampling, the approximation guarantees are explicit but probabilistic, i.e., they apply with respect to a (user controlled) confidence parameter. We present the algorithms, their theoretical analysis and simulation results. 1 EP - 435 TI - Approximate medians and other quantiles in one pass and with limited memory SP - 426 KW - median KW - quantiles AU - Manku, Gurmeet AU - Rajagopalan, Sridhar AU - Lindsay, Bruce PY - 1998/// UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.6513 ER -