On L<sup>
 2
</sup>-convergence of controlled branching processes with random control function

González, Miguel; Molina, Manuel; Del Puerto, Inés

On L²-convergence of controlled branching processes with random control function

González, Miguel ; Molina, Manuel ; Del Puerto, Inés

Bernoulli, Tome 11 (2005) no. 1, p. 37-46 / Harvested from Project Euclid

Résumé

The topic of this paper is Yanev's class of controlled branching processes with a random control function. We investigate the L²-convergence of the suitably normed process to a non-degenerate limit. Necessary and sufficient conditions for this convergence are established under certain constraints on the means and variances of the control variables.

Publié le : 2005-01-14
Classification: controlled branching processes, L_2-convergence

@article{1110228241,
     author = {Gonz\'alez, Miguel and Molina, Manuel and Del Puerto, In\'es},
     title = {On L<sup>
 2
</sup>-convergence of controlled branching processes with random control function},
     journal = {Bernoulli},
     volume = {11},
     number = {1},
     year = {2005},
     pages = { 37-46},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1110228241}
}

González, Miguel; Molina, Manuel; Del Puerto, Inés. On L²-convergence of controlled branching processes with random control function. Bernoulli, Tome 11 (2005) no. 1, pp.  37-46. http://gdmltest.u-ga.fr/item/1110228241/