The Markov chain associated to a Pick function

被引:0
作者
Gérard Letac
Dhafer Malouche
机构
[1] Laboratoire de Statistique et Probabilités,
[2] 118,undefined
[3] Route de Narbonne,undefined
[4] 31062 Toulouse Cedex,undefined
[5] France. e-mail: letac@cict.fr,undefined
来源
Probability Theory and Related Fields | 2000年 / 118卷
关键词
Markov Chain; Lebesgue Measure; Integral Representation; Compact Support; Half Plane;
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摘要
To each function ϕ˜(ω) mapping the upper complex half plane ?+ into itself such that the coefficient of ω in the Nevanlinna integral representation is one, we associate the kernel p(y, dx) of a Markov chain on ℝ by
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页码:439 / 454
页数:15
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