Jensen Gap for Log Samples

Problem

By Jensen's inequality E[log X] <= log E[X] for positive X. The gap is log(mean(samples)) - mean(log(samples)).

Given positive samples, return the gap.

Hint

The gap is zero exactly when all samples agree.

case 1

in: [[1,4]]

expected: 0.22314355131420982

case 2

in: [[2,2]]

expected: 0

case 3

in: [[0.5,1,2]]

expected: 0.15415067982725836

Starter codePython

def jensen_gap_for_log_samples(samples):
    # Your code here
    pass

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