The Entrance Space of a Measure-Valued Markov Branching Process Conditioned on Non-Extinction
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 70-74
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We explicitly identify the possible probability entrance laws for a class of measure-valued processes that are constructed by taking a particular measure-valued Markov branching process and conditioning it to stay away from the zero measure trap. The set of extreme points of the entrance space is larger than the state space of the conditioned process, and contains elements which correspond to starting the conditioned process at the zero measure.
Mots-clés :
60J50, 60G57, 60J25, 60J80., branching process, measure-valued, entrance space, entrance law.
Evans, Steven N. The Entrance Space of a Measure-Valued Markov Branching Process Conditioned on Non-Extinction. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 70-74. doi: 10.4153/CMB-1992-010-8
@article{10_4153_CMB_1992_010_8,
author = {Evans, Steven N.},
title = {The {Entrance} {Space} of a {Measure-Valued} {Markov} {Branching} {Process} {Conditioned} on {Non-Extinction}},
journal = {Canadian mathematical bulletin},
pages = {70--74},
year = {1992},
volume = {35},
number = {1},
doi = {10.4153/CMB-1992-010-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-010-8/}
}
TY - JOUR AU - Evans, Steven N. TI - The Entrance Space of a Measure-Valued Markov Branching Process Conditioned on Non-Extinction JO - Canadian mathematical bulletin PY - 1992 SP - 70 EP - 74 VL - 35 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-010-8/ DO - 10.4153/CMB-1992-010-8 ID - 10_4153_CMB_1992_010_8 ER -
%0 Journal Article %A Evans, Steven N. %T The Entrance Space of a Measure-Valued Markov Branching Process Conditioned on Non-Extinction %J Canadian mathematical bulletin %D 1992 %P 70-74 %V 35 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-010-8/ %R 10.4153/CMB-1992-010-8 %F 10_4153_CMB_1992_010_8
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