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Table 2 Extinction probabilities and supports for the extremal distributions of the truncated Geometric example

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}

{0,1,7,8}

{0,1,6,7,20}

Lower bound (best)

0.000

0.000

0.110

0.404

Supports

{0,20}

{0,4,5}

{0,4,5,20}

{0,3,4,11,12}

Upper bound (worst)

0.918

0.641

0.592

0.534

  1. The actual probability of extinction for this process is 0.499.