Moments of transition-additive random variables defined on finite, regenerative random processes

  • Shiffrin R
  • Thompson M
  • 2


    Mendeley users who have this article in their library.
  • 7


    Citations of this article.


Random processes consisting of a sequence of jumps from one to another of a finite set of states are considered. Such processes are regenerative if the progress after the nth jump depends only upon the state entered at the jump. Examples include discrete and continuous Markov processes. A method is given to restrict attention to a subset of samnle paths according to criteria based on the transitions allowed for a single jump. The primary concern is with transition-additive random variables: these sum for any valid sample path the values of independent random variables assigned to each jump in the path. A simple formula for finding all moments of such random variables is derived. Necessary and sufficient conditions for the existence of the solutions are demonstrated, and illustrations of the computational simplicity of the approach are provided. © 1988.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Richard Shiffrin

  • Maynard Thompson

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free