Some Path Properties of $p$th Order and Symmetric Stable Processes

Open Access

1 December 1980

journal article
Published by Institute of Mathematical Statistics in The Annals of Probability

Vol. 8 (6) , 1148-1156
https://doi.org/10.1214/aop/1176994575

Abstract

Necessary and sufficient conditions are presented for the measurability of $p$th order or symmetric stable stochastic processes and for the integrability or absolute continuity of sample paths of symmetric stable processes. Also obtained are sufficient conditions for absolute continuity of $p$th order processes.

Keywords

STOCHASTIC PROCESSES
PATH PROPERTIES
PROCESSES NECESSARY
ABSOLUTE CONTINUITY
ORDER PROCESSES
SAMPLE PATHS
STABLE STOCHASTIC

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