caa a22 4500 386385734 CHVBK 20180307112057.0 cr unu---uuuuu 161130e198905 xx s 000 0 eng 10.1017/S0305004100077951 doi S0305004100077951 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100077951 Linear functionals and Markov chains associated with Dirichlet processes [Elektronische Daten] By investigating a Markov chain whose limiting distribution corresponds to that of the Dirichlet process we are able directly to ascertain conditions for the existence of linear functionals of that process. Together with earlier analyses we are able to characterize those functionals which are a.s. finite in terms of the parameter measure of the process. We also show that the appropriate Markov chain in the space of measures is only weakly convergent and not Harris ergodic. Copyright © Cambridge Philosophical Society 1989 Feigin Paul D. Technion, Haifa and Division of Mathematics and Statistics, CSIRO Tweedie Richard L. Siromath Pty. Ltd., Sydney and Bond University, Gold Coast, Australia Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/3(1989-05), 579-585 0305-0041 105:3<579 1989 105 PSP https://doi.org/10.1017/S0305004100077951 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100077951 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Feigin Paul D. Technion, Haifa and Division of Mathematics and Statistics, CSIRO NATIONALLICENCE 700 1- Tweedie Richard L. Siromath Pty. Ltd., Sydney and Bond University, Gold Coast, Australia NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/3(1989-05), 579-585 0305-0041 105:3<579 1989 105 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge