A Statistical Viewpoint On the Theory of Evidence

Cover A Statistical Viewpoint On the Theory of Evidence
A Statistical Viewpoint On the Theory of Evidence
Robert a Hummel
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C O r-i -U -U O 0) (0 z a: } u> ( i £, p w :A-[0, l] Vco, and V go, ^p m (k) ^lorp^O}.
As noted earlier, the requirement that #£ 1, U) 2 )}) = ^l({iOi})fJL2({w2}). And ' = VP (a)! U)2)/((Di, (i>2)££ > \' providing the denominator is nonzero, and P(»i, »2) ~ ° otherwise. Here, P, = {pli- L, €£, for i = 1, 2, and the Kx, 's are a fixed set of positive constants defined for X€A. ■ To interpret this combining operation, consider two sets of experts £\ and £ 2, with each set of experts expressing o
...pinions in the form of Pi and P 2 . We form a new set of experts, which is simply the set of all committees of two, consisting of one expert from £\, and another from i, a) 2 )}) = u.

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