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Below is a table giving a joint pmf for the random pair (y,x).


x=1 x=2 x=3

y=3

.05 .2

.1

y=2 .1 .1 .11
y=1 .15 .1 .09

a) Find the SEL predictor of y based on x. (You need to evaluate all of y opt(1), y opt(2), and y opt(3)) Evaluate the risk of this predictor.

b) Find the 0-1 loss predictor of y based on x. (Again need to evaluate all of  y opt(1), y opt(2), and y opt(3)) Evaluate the risk of this predictor.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91015794

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