Abstract
The Fourier analytic approach due to S.M. Berman is considered for a certain class of α-stable moving average processes, 1 < α ≤ 2. It is proved that the local times of such processes satisfy a uniform Hölder condition of order |Q| 1 − 1 α | log|Q|| 1 α for small intervals Q. A decomposition of a stable moving average process into a part with jointly continuous local time and a part with smooth sample paths is given and the direct method of evaluation of Berman's integral is compared to the LND method.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
