Please use this identifier to cite or link to this item:
https://doi.org/10.3150/11-BEJ406
DC Field | Value | |
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dc.title | Total variation error bounds for geometric approximation | |
dc.contributor.author | Peköz, E.A. | |
dc.contributor.author | Röllin, A. | |
dc.contributor.author | Ross, N. | |
dc.date.accessioned | 2014-10-28T05:16:06Z | |
dc.date.available | 2014-10-28T05:16:06Z | |
dc.date.issued | 2013-05 | |
dc.identifier.citation | Peköz, E.A., Röllin, A., Ross, N. (2013-05). Total variation error bounds for geometric approximation. Bernoulli 19 (2) : 610-632. ScholarBank@NUS Repository. https://doi.org/10.3150/11-BEJ406 | |
dc.identifier.issn | 13507265 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/105438 | |
dc.description.abstract | We develop a new formulation of Stein's method to obtain computable upper bounds on the total variation distance between the geometric distribution and a distribution of interest. Our framework reduces the problem to the construction of a coupling between the original distribution and the "discrete equilibrium" distribution from renewal theory.We illustrate the approach in four non-trivial examples: the geometric sum of independent, non-negative, integer-valued random variables having common mean, the generation size of the critical Galton-Watson process conditioned on non-extinction, the in-degree of a randomly chosen node in the uniform attachment random graph model and the total degree of both a fixed and randomly chosen node in the preferential attachment random graph model. © 2013 ISI/BS. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.3150/11-BEJ406 | |
dc.source | Scopus | |
dc.subject | Discrete equilibrium distribution | |
dc.subject | Geometric distribution | |
dc.subject | Preferential attachment model | |
dc.subject | Stein's method | |
dc.subject | Yaglom's theorem | |
dc.type | Article | |
dc.contributor.department | STATISTICS & APPLIED PROBABILITY | |
dc.description.doi | 10.3150/11-BEJ406 | |
dc.description.sourcetitle | Bernoulli | |
dc.description.volume | 19 | |
dc.description.issue | 2 | |
dc.description.page | 610-632 | |
dc.identifier.isiut | 000317372500010 | |
Appears in Collections: | Staff Publications |
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