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An asymptotically 4-stable process
(CRC Press, 1995)
An asymptotically 4-stable process is constructed. The model identifies the 4-stable process with a sequence of processes converging in a very weak sense. It is proved that the 4-th variation of the process is a linear function of time and its quadratic variation may be identified with a Brownian motion.
Ito formula for an asymptotically 4-stable process
(Institute of Mathematical Statistics, 1996-02)
An Ito-type formula is given for an asymptotically 4-stable process.