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1 results

  • Extremal problems for regenerative phenomena

  • Part of
  • J. F. C. Kingman
  • Journal:
    Journal of Applied Probability / Volume 41 / Issue A / 2004
    Published online by Cambridge University Press:
    14 July 2016, pp. 333-346
    Print publication:
    2004

  • This paper explores the possibility of a calculus of variations powerful enough to prove inequalities for the p-functions of regenerative phenomena such as that conjectured by Davidson and proved by Dai. It is shown that this is unlikely to be achieved by compactifying the space of standard p-functions, and a more promising approach is that of working in a compact subspace. The analysis leads to a class of candidate p-functions which contains all the maxima of general functionals.