Probability ranking principle

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113 any given document whether it is relevant or non relevant ...PQ relevance document where the Q is meant to emphasise that it is for a specific query ...P relevance document ...Let us now assume following Robertson [7]that:1 The relevance of a document to a request is independent of other documents in the collection ...With this assumption we can now state a principle,in terms of probability of relevance,which shows that probabilistic information can be used in an optimal manner in retrieval ...The probability ranking principle ...
128 objected to on the same grounds that one might object to the probability of Newton s Second Law of Motion being the case ...To approach the problem in this way would be useless unless one believed that for many index terms the distribution over the relevant documents is different from that over the non relevant documents ...The elaboration in terms of ranking rather than just discrimination is trivial:the cut off set by the constant in g x is gradually relaxed thereby increasing the number of documents retrieved or assigned to the relevant category ...If one is prepared to let the user set the cut off after retrieval has taken place then the need for a theory about cut off disappears ...