Research output: Contribution to journal › Article › peer-review
Stratification method for processes with independent increments. / Lifshits, M. A.
In: Journal of Soviet Mathematics, Vol. 27, No. 6, 01.12.1984, p. 3241-3251.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Stratification method for processes with independent increments
AU - Lifshits, M. A.
PY - 1984/12/1
Y1 - 1984/12/1
N2 - Let {Mathematical expression} be a process with independent increments, Let W be a Wiener process, and let Π be a Poisson measure with independent values. The quasiinvariant transformations {Mathematical expression} under an appropriate kernel g, form a one-parameter semigroup. One considers the partitions of a probability functional space into one-dimensional orbits of the semigroup G. One computes the conditional probabilities. The results of the computations can be used for the investigation of the distributions of the functionals of the process X. A series of results of the paper can be applied to a much wider class of processes and semigroups.
AB - Let {Mathematical expression} be a process with independent increments, Let W be a Wiener process, and let Π be a Poisson measure with independent values. The quasiinvariant transformations {Mathematical expression} under an appropriate kernel g, form a one-parameter semigroup. One considers the partitions of a probability functional space into one-dimensional orbits of the semigroup G. One computes the conditional probabilities. The results of the computations can be used for the investigation of the distributions of the functionals of the process X. A series of results of the paper can be applied to a much wider class of processes and semigroups.
UR - http://www.scopus.com/inward/record.url?scp=34250140360&partnerID=8YFLogxK
U2 - 10.1007/BF01850672
DO - 10.1007/BF01850672
M3 - Article
AN - SCOPUS:34250140360
VL - 27
SP - 3241
EP - 3251
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 6
ER -
ID: 43812320