The Frequent Items Problem in Online Streaming under Various Performance Measures.

Joan Boyar, Kim S. Larsen, and Abyayananda Maiti.
In 19th International Symposium on Fundamentals of Computation Theory (FCT), volume 8070 of Lecture Notes in Computer Science, pages 60-71. Springer, 2013.

In this paper, we strengthen the competitive analysis results obtained for a fundamental online streaming problem, the Frequent Items Problem. Additionally, we contribute with a more detailed analysis of this problem, using alternative performance measures, supplementing the insight gained from competitive analysis. The results also contribute to the general study of performance measures for online algorithms. It has long been known that competitive analysis suffers from drawbacks in certain situations, and many alternative measures have been proposed. However, more systematic comparative studies of performance measures have been initiated recently, and we continue this work, using competitive analysis, relative interval analysis, and relative worst order analysis on the Frequent Items Problem.

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