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High Quality Content by WIKIPEDIA articles! Linear Belief Function is an extension of the Dempster-Shafer theory of belief functions to the case when variables of interest are continuous. Examples of such variables include financial asset prices, portfolio performance, and other antecedent and consequent variables. The theory was originally proposed by Arthur P. Dempster in the context of Kalman Filters and later was reelaborated, refined, and applied to knowledge representation in artificial intelligence and decision making in finance and accounting by Liping Liu .