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Table 1 Extinction probabilities and supports for the extremal distributions of the Binomial example B 20,0.1

From: Extinction in a branching process: why some of the fittest strategies cannot guarantee survival

  1 moment 2 moments 3 moments 4 moments
Supports {2} {1,2,20} {0,1,3,4} {0,1,3,4,20}
Lower bound (best) 0.000 0.000 0.034 0.083
Supports {0,20} {0,2,3} {0,2,3,20} {0,1,2,4,5}
Upper bound (worst) 0.918 0.333 0.306 0.207
  1. The actual probability of extinction for this process is 0.181.