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There have been a number of prior attempts to theoretically justify theeffectiveness of the inverse document frequency (IDF). Those that take as theirstarting point Robertson and Sparck Jones's probabilistic model are based onstrong or complex assumptions. We show that a more intuitively plausibleassumption suffices. Moreover, the new assumption, while conceptually verysimple, provides a solution to an estimation problem that had been deemedintractable by Robertson and Walker (1997).

IDF revisited: A simple new derivation within the Robertson-Sp\"arck Jones probabilistic model