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1 results

  • On joint exchangeability and conservative processes with stochastic rates

  • Roy Saunders
  • Journal:
    Journal of Applied Probability / Volume 13 / Issue 3 / September 1976
    Published online by Cambridge University Press:
    14 July 2016, pp. 584-590
    Print publication:
    September 1976

  • In a previous article Saunders (1975) investigated the form of transition probabilities for a generalization of conservative processes in which the usual transition rate parameters are replaced by time-dependent stochastic variables. The results of that investigation are given in terms of properties of exchangeable random variables and require that the process be in a particular initial state at time zero. This article removes the restriction on the initial state by using some properties of two sequences of jointly exchangeable variables. General results analogous to those obtained previously are shown to hold for general initial states.