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Table 7 Simulation results: proportion of replications where the maximum likelihood estimator is larger than the true value of the parameter for the log-logistic model

From: Estimating time-to-onset of adverse drug reactions from spontaneous reporting databases

     1Naive estimator TBE
λ β p n λ ̂ >λ β ̂ >β λ ̂ >λ β ̂ >β
0.05 0.5 0.25 100 100% 100% 67.2% 67.7%
    500 100% 100% 53.6% 52.0%
0.05 0.5 0.50 100 100% 100% 55.4% 57.5%
    500 100% 100% 51.1% 52.0%
0.05 0.5 0.80 100 100% 100% 51.1% 53.2%
    500 100% 100% 50.8% 51.5%
1 0.5 0.25 100 100% 100% 67.7% 66.1%
    500 100% 100% 55.9% 56.1%
1 0.5 0.50 100 100% 100% 54.9% 57.2%
    500 100% 100% 53.4% 53.4%
1 0.5 0.80 100 100% 100% 55.1% 56.5%
    500 100% 100% 51.9% 52.0%
0.05 2 0.25 100 100% 100% 53.2% 55.9%
    500 100% 100% 51.8% 51.8%
0.05 2 0.50 100 100% 100% 55.0% 54.2%
    500 100% 100% 53.3% 52.2%
0.05 2 0.80 100 100% 100% 50.3% 51.5%
    500 100% 100% 53.9% 54.4%
1 2 0.25 100 100% 100% 52.7% 56.1%
    500 100% 100% 53.3% 51.0%
1 2 0.50 100 100% 100% 54.3% 56.4%
    500 100% 100% 50.1% 49.5%
1 2 0.80 100 100% 100% 52.0% 53.7%
    500 100% 100% 52.9% 55.0%
  1. Calculations were made on the replications where there was no problem of maximization. Abbreviations : TBE truncation-based estimator.