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On exponential moments of two Brownian functionals

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  • Stummer, Wolfgang

Abstract

The aim of this paper is to demonstrate by examples the possible "extreme" behaviour of exponential moments of two Brownian functionals. As a consequence, it will follow that the "uniform" Novikov condition does not imply the condition and vice versa. Both conditions (1) and (2) are known to be sufficient for the existence of a weak solution of the multidimensional stochastic differential equation dXt=b(Xt)dt+dWt, 0[less-than-or-equals, slant]t[less-than-or-equals, slant]T

Suggested Citation

  • Stummer, Wolfgang, 1997. "On exponential moments of two Brownian functionals," Statistics & Probability Letters, Elsevier, vol. 31(3), pages 233-237, January.
  • Handle: RePEc:eee:stapro:v:31:y:1997:i:3:p:233-237
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    Cited by:

    1. Stummer, Wolfgang, 2000. "On Novikov and arbitrage properties of multidimensional diffusion processes with exploding drift," Statistics & Probability Letters, Elsevier, vol. 46(1), pages 43-51, January.

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