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pro vyhledávání: '"Ho, Man Wai"'
Gibbs partitions of the integers generated by stable subordinators of index $\alpha\in(0,1)$ form remarkable classes of random partitions where in principle much is known about their properties, including practically effortless obtainment of otherwis
Externí odkaz:
http://arxiv.org/abs/2211.11223
Pitman(2003)(and subsequently Gnedin and Pitman (2006) showed that a large class of random partitions of the integers derived from a stable subordinator of index $\alpha\in(0,1)$ have infinite Gibbs (product) structure as a characterizing feature. Th
Externí odkaz:
http://arxiv.org/abs/1802.05352
Autor:
Ho, Man Wai.
Publikováno v:
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Thesis (Ph. D.)--Hong Kong University of Science and Technology, 2002.
Includes bibliographical references (leaves 110-114). Also available in electronic version. Access restricted to campus users.
Includes bibliographical references (leaves 110-114). Also available in electronic version. Access restricted to campus users.
Externí odkaz:
http://library.ust.hk/cgi/db/thesis.pl?ISMT%202002%20HO
This paper derives explicit results for the infinite Gibbs partitions generated by the jumps of an $\alpha-$stable subordinator, derived in Pitman \cite{Pit02, Pit06}. We first show that for general $\alpha$ the conditional EPPF can be represented as
Externí odkaz:
http://arxiv.org/abs/0708.0619
Autor:
Ho, Man-Wai
A class of semi-parametric hazard/failure rates with a bathtub shape is of interest. It does not only provide a great deal of flexibility over existing parametric methods in the modeling aspect but also results in a closed and tractable Bayes estimat
Externí odkaz:
http://arxiv.org/abs/0707.2257
Autor:
Ho, Man-Wai
A Bayesian nonparametric method for unimodal densities on the real line is provided by considering a class of species sampling mixture models containing random densities that are unimodal and not necessarily symmetric. This class of densities general
Externí odkaz:
http://arxiv.org/abs/math/0609056
Pitman~(1999) describes a duality relationship between fragmentation and coagulation operators. An explicit relationship is described for the two-parameter Poisson-Dirichlet laws, with parameters {\footnotesize $(\alpha,\theta)$} and $(\beta,\theta/\
Externí odkaz:
http://arxiv.org/abs/math/0601608
Autor:
Ho, Man-Wai
Publikováno v:
Annals of Statistics 2006, Vol. 34, No. 2, 820-836
A class of random hazard rates, which is defined as a mixture of an indicator kernel convolved with a completely random measure, is of interest. We provide an explicit characterization of the posterior distribution of this mixture hazard rate model v
Externí odkaz:
http://arxiv.org/abs/math/0502432
Publikováno v:
In Decision Support Systems June 2015 74:88-101
Publikováno v:
Journal of the American Statistical Association, 2013 Mar 01. 108(501), 48-68.
Externí odkaz:
https://www.jstor.org/stable/23427511