What is the evaluation measure rank-biased precision (RBP)?

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What is the evaluation measure rank-biased precision (RBP)?

Rank-biased precision (RBP) is an evaluation measure used in information retrieval to assess the effectiveness of a ranked list of documents. It takes into account both the relevance of the documents and their rank in the list. RBP assigns higher weights to documents at the top of the list, gradually decreasing as the rank increases. This measure is particularly useful when the user's preference is biased towards retrieving highly relevant documents early in the list. RBP is calculated by summing the precision at each rank multiplied by a persistence parameter, which determines the weight given to each rank.