%0 Journal Article %1 olle1981convergence %A Nerman, Olle %D 1981 %J Probability Theory and Related Fields %K branching imported stochastic %N 3 %P 365--395 %T On the convergence of supercritical general (C-M-J) branching processes %U http://dx.doi.org/10.1007/BF00534830 %V 57 %X Convergence in probability of Malthus normed supercritical general branching processes (i.e. Crump-Mode-Jagers branching processes) counted with a general characteristic are established, provided the latter satisfies mild regularity conditions. If the Laplace transform of the reproduction point process evaluated in the Malthusian parameter has a finite ‘x log x-moment’ convergence in probability of the empirical age distribution and more generally of the ratio of two differently counted versions of the process also follow. ER -

@article{olle1981convergence, abstract = {Convergence in probability of Malthus normed supercritical general branching processes (i.e. Crump-Mode-Jagers branching processes) counted with a general characteristic are established, provided the latter satisfies mild regularity conditions. If the Laplace transform of the reproduction point process evaluated in the Malthusian parameter has a finite ‘x log x-moment’ convergence in probability of the empirical age distribution and more generally of the ratio of two differently counted versions of the process also follow. ER -}, added-at = {2009-07-03T04:33:39.000+0200}, author = {Nerman, Olle}, biburl = {https://www.bibsonomy.org/bibtex/25188727be38bd3bc0cca61f86acfaa88/ebo}, description = {SpringerLink - Journal Article}, interhash = {3272da18b777448bd2f4dc3447e24edc}, intrahash = {5188727be38bd3bc0cca61f86acfaa88}, journal = {Probability Theory and Related Fields}, keywords = {branching imported stochastic}, month = {#sep#}, number = 3, pages = {365--395}, timestamp = {2009-07-03T04:33:39.000+0200}, title = {On the convergence of supercritical general (C-M-J) branching processes}, url = {http://dx.doi.org/10.1007/BF00534830}, volume = 57, year = 1981 }