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Functionals on transient stochastic processes with independent increments

K. Urbanik (1992)

Studia Mathematica

The paper is devoted to the study of integral functionals ʃ 0 f ( X ( t , ω ) ) d t for a wide class of functions f and transient stochastic processes X(t,ω) with stationary and independent increments. In particular, for nonnegative processes a random analogue of the Tauberian theorem is obtained.

Hedging in complete markets driven by normal martingales

Youssef El-Khatib, Nicolas Privault (2003)

Applicationes Mathematicae

This paper aims at a unified treatment of hedging in market models driven by martingales with deterministic bracket M , M t , including Brownian motion and the Poisson process as particular cases. Replicating hedging strategies for European, Asian and Lookback options are explicitly computed using either the Clark-Ocone formula or an extension of the delta hedging method, depending on which is most appropriate.

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