dc.contributor.author Wright, James M., 1960- en_US dc.date.accessioned 2009-10-06T00:00:44Z dc.date.available 2009-10-06T00:00:44Z dc.date.issued 1996 en_US dc.identifier.other b39145876 en_US dc.identifier.other 37902013 en_US dc.identifier.other Thesis 45497 en_US dc.identifier.uri http://hdl.handle.net/1773/5807 dc.description Thesis (Ph. D.)--University of Washington, 1996 en_US dc.description.abstract A 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.extent iii, 40 p. en_US dc.language.iso en_US en_US dc.rights Copyright is held by the individual authors. en_US dc.rights.uri en_US dc.subject.other Theses--Mathematics en_US dc.title Stable processes with opposing drifts en_US dc.type Thesis en_US
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