Differentially Private Distributed Learning for Language Modeling Tasks
Table 7: Results of the Lilliefors test
['Experiment', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10']
The critical value for the Lilliefors test at 5% significance level is 1.08. In 19 cases out of 20 the Lilliefors test fails to reject the null hypothesis. Exact values of KS statistics and Hill ’s It converges to the distribution with smaller critical values at the same significance levels because we overfit on the sample data when the estimator ¯¯¯r is plugged in. We chose a 5% significance level and critical value for it is 1.08. In 19 cases out of 20 the Lilliefors test failed to reject the null hypothesis at a 5% significance level. it is easy to derive that (ε, δ)-differential privacy is provided by the values ε, δ that satisfy