Parametric Estimation in Branching Processes with an Increasing Random Number of Ancestors
| Data(s) |
26/01/2014
26/01/2014
2005
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| Resumo |
2000 Mathematics Subject Classification: 60J80, 62M05 The paper deals with a parametric estimation in branching processes {Zt(n)} having 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. Consistency and asymptotic normality of the estimators are obtained for all values of the offspring mean m, 0<m< , in the subcritical, critical and supercritical case. Partialy supported by Pro-ENBIS GTC1 -2001-43031. The paper is supported by the National Science Fund of Bulgaria, Grant No. MM-1101/2001. |
| Identificador |
Pliska Studia Mathematica Bulgarica, Vol. 17, No 1, (2005), 295p-312p 0204-9805 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Branching processes #random number of ancestors #power series distribution #paramertic estimation #consistency #asymptotic normality #efficiency |
| Tipo |
Article |
