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Logical Decisions - Classweb

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! Point Estimate -- use a single number as the level. This is<br />

the default.<br />

! Uniform Distribution -- define the level with a uniform<br />

probability distribution defined by an upper and<br />

lower limit.<br />

! Discrete Distribution -- define the level as several<br />

different levels, each of which with its own<br />

probability.<br />

! Piecewise Linear Cumulative Distribution -- define the<br />

level with several levels that define a cumulative<br />

probability distribution.<br />

! Normal Distribution -- define the level with a Normal<br />

(bell shaped curve) probability distribution.<br />

! Three Point Estimate -- define the level with three points<br />

of the probability distribution: the 0.05 level, the<br />

0.50 level and the 0.95 percent level.<br />

! Triangle Distribution -- define the level with a triangle<br />

distribution defined by the minimum, most likely<br />

and maximum levels.<br />

You select a distribution type by clicking the radio button for that<br />

type. Then LDW asks you to enter the parameters for that<br />

distribution.<br />

After you enter the data, LDW displays the resulting certainty<br />

equivalent. The certainty equivalent is the point estimate level<br />

that has the same utility as the expected utility of the probabilistic<br />

level. LDW computes expected utility by combining the level's<br />

probability distribution with the associated measure’s utility<br />

function.<br />

The sections below describe the parameters that define the<br />

different probability distributions.<br />

Point Estimate. The Point Estimate option lets you define a single<br />

number as the level of the active measure and alternative. Point<br />

estimates are the default, and the measure levels entered<br />

elsewhere are point estimates.<br />

6-22 Section 6 -- Using LDW 1: Structuring

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