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2 results

  • On a general branching process

  • Fergus Daly
  • Journal:
    Journal of Applied Probability / Volume 18 / Issue 1 / March 1981
    Published online by Cambridge University Press:
    14 July 2016, pp. 253-255
    Print publication:
    March 1981

  • A branching process is described which contains some better-known simple branching processes as special cases. Variables examined are the rate of development, the number of individuals currently alive, and the duration of the process. The apparent dynamics of collapsing supercritical realisations are isolated.

  • A note on Gaussian processes and zero-memory non-linear transformations

  • Elias Masry
  • Journal:
    Journal of Applied Probability / Volume 14 / Issue 4 / December 1977
    Published online by Cambridge University Press:
    14 July 2016, pp. 857-861
    Print publication:
    December 1977

  • We consider the problem of the distinguishability between Gaussian processes observed through non-linear systems. For a broad class 𝒜 of zero-memory time-dependent non-linear transformations, the following uniqueness relationship is obtained. If Xi, i = 1, 2 are two normalized jointly Gaussian processes, then they are indistinguishable if and only if their transformed processes Yi = A[Xi], i = 1, 2, A ∈ 𝒜, are indistinguishable. Some interesting examples of functions in 𝒜 are presented.