Robust Parametric Estimation of Branching Processes with a Random Number of Ancestors

Stoimenova, Vessela. "Robust Parametric Estimation of Branching Processes with a Random Number of Ancestors." Serdica Mathematical Journal 31.3 (2005): 243-262. <http://eudml.org/doc/219559>.

@article{Stoimenova2005,
abstract = {2000 Mathematics Subject Classification: 60J80.The paper deals with a robust parametric estimation in branching processes \{Zt(n)\} having a random number of ancestors Z0(n) as both n and t tend to infinity (and thus Z0(n) in some sense). The offspring distribution is considered to belong to a discrete analogue of the exponential family – the class of the power series offspring distributions. Robust estimators, based on one and several sample paths, are proposed and studied for all values of the offspring mean m, 0 < m < ∞, in the subcritical, critical and supercritical case.The paper is partially supported by grant MM-1101/2001 of the NFSI – Bulgaria.},
author = {Stoimenova, Vessela},
journal = {Serdica Mathematical Journal},
keywords = {Branching Processes; Random Number of Ancestors; Power Series Distribution; Parametric Estimation; Robustness; D-Fullness; Branching process; random number of ancestors; power series distribution; parametric estimation; robustness; -fullness},
language = {eng},
number = {3},
pages = {243-262},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Robust Parametric Estimation of Branching Processes with a Random Number of Ancestors},
url = {http://eudml.org/doc/219559},
volume = {31},
year = {2005},
}

TY - JOUR
AU - Stoimenova, Vessela
TI - Robust Parametric Estimation of Branching Processes with a Random Number of Ancestors
JO - Serdica Mathematical Journal
PY - 2005
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 31
IS - 3
SP - 243
EP - 262
AB - 2000 Mathematics Subject Classification: 60J80.The paper deals with a robust parametric estimation in branching processes {Zt(n)} having a random number of ancestors Z0(n) as both n and t tend to infinity (and thus Z0(n) in some sense). The offspring distribution is considered to belong to a discrete analogue of the exponential family – the class of the power series offspring distributions. Robust estimators, based on one and several sample paths, are proposed and studied for all values of the offspring mean m, 0 < m < ∞, in the subcritical, critical and supercritical case.The paper is partially supported by grant MM-1101/2001 of the NFSI – Bulgaria.
LA - eng
KW - Branching Processes; Random Number of Ancestors; Power Series Distribution; Parametric Estimation; Robustness; D-Fullness; Branching process; random number of ancestors; power series distribution; parametric estimation; robustness; -fullness
UR - http://eudml.org/doc/219559
ER -