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dc.contributor.authorWright, James M., 1960-en_US
dc.date.accessioned2009-10-06T00:00:44Z
dc.date.available2009-10-06T00:00:44Z
dc.date.issued1996en_US
dc.identifier.otherb39145876en_US
dc.identifier.other37902013en_US
dc.identifier.otherThesis 45497en_US
dc.identifier.urihttp://hdl.handle.net/1773/5807
dc.descriptionThesis (Ph. D.)--University of Washington, 1996en_US
dc.description.abstractA strong Markov process, $W\sp0$, is constructed by a natural linking together of two independent stable processes of type ($\alpha,\ \beta\sb1$) and ($\alpha,\ \beta\sb2$). The drift for a stable process X of type ($\alpha,\ \beta$) can be measured by $\beta$ since$$\rm P\sp0(X\sb{t}>0)={1\over2}+{1\over\pi\alpha}\ tan\sp{-1}({-} \beta\ tan({\pi\alpha\over2})).$$Conditions for when $W\sp0$ will hit 0 are determined and asymptotics for $\sigma$, the time it reaches 0, are obtained.We then consider the extension problem for $W\sp0$ which is to describe all, or at least important classes, of processes W, defined for all time, that agree with $W\sp0$ until time $\sigma$. It is customary to require that the extension have no sojourn at 0. Our interest is in scale-invariant extensions since $W\sp0$ is scale-invariant. Extensions of the stable processes ($\alpha,\ \beta$) killed at $\sigma$ are also considered.en_US
dc.format.extentiii, 40 p.en_US
dc.language.isoen_USen_US
dc.rightsCopyright is held by the individual authors.en_US
dc.rights.urien_US
dc.subject.otherTheses--Mathematicsen_US
dc.titleStable processes with opposing driftsen_US
dc.typeThesisen_US


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