Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration

Reinhard Höpfner; Eva Löcherbach

Annales de l'I.H.P. Probabilités et statistiques (2005)

  • Volume: 41, Issue: 6, page 1025-1047
  • ISSN: 0246-0203

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Höpfner, Reinhard, and Löcherbach, Eva. "Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration." Annales de l'I.H.P. Probabilités et statistiques 41.6 (2005): 1025-1047. <http://eudml.org/doc/77877>.

@article{Höpfner2005,
author = {Höpfner, Reinhard, Löcherbach, Eva},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {spatial subcriticality; invariant occupation density},
language = {eng},
number = {6},
pages = {1025-1047},
publisher = {Elsevier},
title = {Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration},
url = {http://eudml.org/doc/77877},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Höpfner, Reinhard
AU - Löcherbach, Eva
TI - Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2005
PB - Elsevier
VL - 41
IS - 6
SP - 1025
EP - 1047
LA - eng
KW - spatial subcriticality; invariant occupation density
UR - http://eudml.org/doc/77877
ER -

References

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  14. [14] E. Löcherbach, Likelihood ratio processes for Markovian particle systems with killing and jumps, Statist. Inference Stoch. Process.5 (2002) 153-177. Zbl1030.60074MR1917290
  15. [15] E. Löcherbach, LAN and LAMN for systems of interacting diffusions with branching and immigration, Ann. Inst. H. Poincaré Probab. Statist.38 (2002) 59-90. Zbl1004.60078MR1899230
  16. [16] E. Löcherbach, Smoothness of the intensity measure density for interacting branching diffusions with immigrations, J. Funct. Anal.215 (2004) 130-177. Zbl1065.60119MR2085113
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  19. [19] A.M. Zubkov, Life-periods of a branching process with immigration, Theor. Probab. Appl.17 (1972) 174-183. Zbl0267.60084MR300351

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