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6032统计简单数值题short

How Much Does One Print Shrink Uncertainty?

题目

A predicted state has variance P=10P^-=10. A single observation arrives with noise variance R=6R=6 in the model y=x+εy=x+\varepsilon. By how much does the posterior (updated) variance fall below PP^-? Give the updated variance P+P^+.

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