\(\newcommand{\N}{\mathbb{N}}\)
  1. Reliability
  2. 1
  3. 2
  4. 3
  5. 4
  6. 5
  7. 6
  8. 7
  9. 8

8. The Subset Semigroup

Summary

This chapter studies an semigroup on finite subsets of positive integers whose associated partial order is the subset order. An interesting question is whether there exist constant rate distributions for this graph.

Contents

  1. Graphs
  2. Semigroups
  3. Exponential Distributions
  4. Almost Exponential Distributions
  5. Constant Rate Distributions
  6. Characterizations of the Poisson Distribution