Research Article

Confidence Intervals for the Mean Based on Exponential Type Inequalities and Empirical Likelihood

Table 5

95% confidence intervals for the mean of the 20 most frequent tag counts for the SAGE data.

Method Lower limit Upper limit Length

Unbounded Bernstein 182.14 430.06 247.92
Bounded Bernstein −455.02 1067.22 1522.24
Chi square 259.53 356.46 96.93
Gamma 160.82 497.35 336.53
Wald −38.00 650.20 688.20
-test −61.36 673.56 734.92
Bootstrap 111.95 1015.75 903.80

EL 123.17 833.04 709.86