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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.