SCENARIOS Consider each parameter probability distribution. Discretize it. Option 1: pick values of probabilities. For example, for 3 values, pick 25%,

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SCENARIOS Consider each parameter probability distribution. Discretize it. Option 1: pick values of probabilities. For example, for 3 values, pick 25%, 50% and 25% probability and find the values. Use the cumulative curve to locate the numbers. P(  ) 11 22 33  44 55

SCENARIOS Option 2: pick equal probability values and find parameter values. For example, for 3 values, pick 33% and locate the points. Use the cumulative curve to do this. P(  ) 11 22 33  44 55

SCENARIOS Option 3: pick values (equidistantly or randomly) and find the probability that corresponds to them from the area they “span”. Use the cumulative curve for this. P(  ) 11 22 33  44 55

SCENARIOS Each scenario is constructed by picking one realization for each parameter. EXAMPLE: 2 parameters (θ 1, θ 2 ). If each parameter is discretized in three instances (θ i,low, 25%, θ i,avg 50%, θ i,hig 25%)

SCENARIOS Scenario Probability θ 1,low, θ 2,low 6.25%θ 1,hig, θ 2,low 6.25% θ 1,low, θ 2,avg 12.5%θ 1,hig, θ 2,avg 12.5% θ 1,low, θ 2,hig 6.25%θ 1,hig, θ 2,hig 6.25% θ 1,avg, θ 2,low 12.5% θ 1,avg, θ 2,avg 25.0% SUM OF ALL θ 1,avg, θ 2,hig 12.5% PROBABILITIES=1