It is shown that certain estimators of the offspring and immigration means in a subcritical simple branching process with immigration are strongly consistent and obey the central limit theorem and law of the iterated logarithm under natural conditions.
Publié le : 1976-04-14
Classification:
Branching process,
estimation,
consistency,
central limit theorem,
law of iterated logarithm,
60J80,
62M05
@article{1176996137,
author = {Quine, M. P.},
title = {Asymptotic Results for Estimators in a Subcritical Branching Process with Immigration},
journal = {Ann. Probab.},
volume = {4},
number = {6},
year = {1976},
pages = { 319-325},
language = {en},
url = {http://dml.mathdoc.fr/item/1176996137}
}
Quine, M. P. Asymptotic Results for Estimators in a Subcritical Branching Process with Immigration. Ann. Probab., Tome 4 (1976) no. 6, pp. 319-325. http://gdmltest.u-ga.fr/item/1176996137/