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

Serdica Mathematical Journal (2005)

- Volume: 31, Issue: 3, page 243-262
- ISSN: 1310-6600

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topStoimenova, 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 -

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