A note on integral representations of the Skorokhod map

نویسندگان

  • Patrick Buckingham
  • Brian H. Fralix
  • Offer Kella
چکیده

We present a very short derivation of the integral representation of the two-sided Skorokhod reflection Z of a continuous function X of bounded variation, which is a generalization of the integral representation of the one-sided map featured in [1, 4]. We also show that Z satisfies a simpler integral representation when additional conditions are imposed on X.

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عنوان ژورنال:
  • J. Applied Probability

دوره 53  شماره 

صفحات  -

تاریخ انتشار 2016