info:eu-repo/semantics/article
On some transformations between positive self-similar Markov processes
Autor
VICTOR MANUEL RIVERO MERCADO
Institución
Resumen
A path decomposition at the infimum for positive self-similar Markov processes (pssMp) is obtained.
Next, several aspects of the conditioning to hit 0 of a pssMp are studied. Associated to a given pssMp X, that
never hits 0, we construct a pssMp X# that hits 0 in a finite time. The latter can be viewed as X conditioned
to hit 0 in a finite time, and we prove that this conditioning is determined by the pre-minimum part of X.
Finally, we provide a method for conditioning a pssMp that hits 0 by a jump to do it continuously
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