Variance Estimators in Branching Processes with Non-Homogeneous Immigration
Document Type
Article
Source of Publication
Biomath Communications
Publication Date
4-17-2013
Abstract
Branching processes with immigration were proposed to study the temporal development of populations of differentiated cells in [3] and more recently in [1]. More specifically, terminally differentiated oligodendrocytes of the central nervous system and leukemia cells were analyzed. In both cases the cell population expanded through both division of existing (progenitor) cells and differentiation of stem cells. The population's viability was preserved by allowing the immigration distribution to vary in time. We construct conditional least-squares estimators for the offspring variance assuming that the immigration mean increases to infinity over time. The asymptotic normality of the proposed estimators is established. Part of the results was published in ...
Disciplines
Life Sciences
Recommended Citation
Rahimov, I. and Yanev, George P., "Variance Estimators in Branching Processes with Non-Homogeneous Immigration" (2013). All Works. 3894.
https://zuscholars.zu.ac.ae/works/3894
Indexed in Scopus
no
Open Access
no