Inequalities for first-exit probabilities and expected first-exit times of a random walk
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Stadje, W. | |
dc.date.accessioned | 2021-12-23T16:27:29Z | - |
dc.date.available | 2021-12-23T16:27:29Z | - |
dc.date.issued | 1996 | |
dc.identifier.issn | 08820287 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/15478 | - |
dc.description.abstract | For the partial sum process of i.i.d. random variables we derive sequences of new upper and lower bounds for the probability that it will exit from a given compact interval to the left and for the expected first-exit time. The sequences are generated by the same iterative procedure starting from different initial values. They converge monotonically to the desired first-exit quantities at an exponential rate. Copyright © 1996 by Marcel Dekker, Inc. | |
dc.description.sponsorship | Minerva FoundationMinerva Foundation; The author gratefully acknowledges a grant of the MINERVA foundation. | |
dc.language.iso | en | |
dc.publisher | Marcel Dekker Inc. | |
dc.relation.ispartof | Communications in Statistics. Part C: Stochastic Models | |
dc.subject | First-exit time | |
dc.subject | Inequality | |
dc.subject | Integral equation | |
dc.subject | Integral equations | |
dc.subject | Iterative methods, Convergence rate | |
dc.subject | Partial sum | |
dc.subject | Random walk | |
dc.subject | Rate of convergence | |
dc.subject | Successive approximation | |
dc.subject | Successive approximation, Random processes | |
dc.title | Inequalities for first-exit probabilities and expected first-exit times of a random walk | |
dc.type | journal article | |
dc.identifier.doi | 10.1080/15326349608807375 | |
dc.identifier.scopus | 2-s2.0-0030353551 | |
dc.identifier.url | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0030353551&doi=10.1080%2f15326349608807375&partnerID=40&md5=b292ab735cc32d3932fe8eacef78bc05 | |
dc.description.volume | 12 | |
dc.description.issue | 1 | |
dc.description.startpage | 103 | |
dc.description.endpage | 120 | |
dcterms.isPartOf.abbreviation | Commun Stat Part C Stochastic Models | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | StWo325 | - |
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geprüft am 01.06.2024