The random effects discrete likelihood method will not converge when all (or almost all) studies in a meta-analysis have 0 events. This is more common in simulation scenarios with very low expected counts, and when the number of studies is small.

From: Results

Cover of Simulation-Based Comparison of Methods for Meta-Analysis of Proportions and Rates
Simulation-Based Comparison of Methods for Meta-Analysis of Proportions and Rates [Internet].
Trikalinos TA, Trow P, Schmid CH.

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