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EasyInformation Theoryinfo-215

Cramer-Rao Bound

Problem

Return the Cramer-Rao variance lower bound for an unbiased estimator:

Var(theta_hat) >= 1 / fisher_info

Hint

More Fisher information means a tighter bound on estimator variance.

Test cases

case 1
in: [2]
expected: 0.5
case 2
in: [0.5]
expected: 2
case 3
in: [10]
expected: 0.1
case 4
in: [1]
expected: 1
Starter codePython
def cramer_rao_bound(fisher_info):
    # Your code here
    pass

4 test cases · run your code against them in the editor