scholarly journals Minimum disparity estimation in controlled branching processes

2017 ◽  
Vol 11 (1) ◽  
pp. 295-325 ◽  
Author(s):  
Miguel González ◽  
Carmen Minuesa ◽  
Inés del Puerto
Keyword(s):  
Branching Processes ◽  
Disparity Estimation ◽  
Controlled Branching Processes

On the class of controlled branching processes with random control functions

2002 ◽  
Vol 39 (4) ◽  
pp. 804-815 ◽  
Author(s):  
M. González ◽  
M. Molina ◽  
I. Del Puerto
Keyword(s):  
Population Size ◽  
Branching Processes ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Control Functions ◽  
Controlled Branching Processes ◽  
Necessary And Sufficient ◽  
Random Control

In this paper, the class of controlled branching processes with random control functions introduced by Yanev (1976) is considered. For this class, necessary and sufficient conditions are established for the process to become extinct with probability 1 and the limit probabilistic behaviour of the population size, suitably normed, is investigated.

Controlled Branching Processes

1974 ◽  
Vol 19 (1) ◽  
pp. 14-24 ◽  
Author(s):  
B. A. Sevast’yanov ◽  
A. M. Zubkov
Keyword(s):  
Branching Processes ◽  
Controlled Branching Processes

scholarly journals On L 2 -convergence of controlled branching processes with random control function

Bernoulli ◽  
2005 ◽  
Vol 11 (1) ◽  
pp. 37-46 ◽  
Author(s):  
Miguel González ◽  
Manuel Molina ◽  
Inés Del Puerto
Keyword(s):  
Control Function ◽  
Branching Processes ◽  
Controlled Branching Processes ◽  
Random Control

On the geometric growth in controlled branching processes with random control function

2003 ◽  
Vol 40 (04) ◽  
pp. 995-1006 ◽  
Author(s):  
M. González ◽  
M. Molina ◽  
I. del Puerto
Keyword(s):  
Branching Process ◽  
Control Function ◽  
Branching Processes ◽  
Necessary Condition ◽  
Sufficient Condition ◽  
Limit Behaviour ◽  
Controlled Branching Processes ◽  
Necessary And Sufficient ◽  
Random Control ◽  
Geometric Growth

The limit behaviour of a controlled branching process with random control function is investigated. A necessary condition and a sufficient condition for the geometric growth of such a process are established by considering the L 1-convergence. Finally, taking into account the classical X log+ X criterion in branching processes, a necessary and sufficient condition is provided.

scholarly journals Robust Estimation in Controlled Branching Processes: Bayesian Estimators via Disparities

2020 ◽  
Author(s):  
Miguel González ◽  
Carmen Minuesa ◽  
Inés del Puerto ◽  
Anand N. Vidyashankar
Keyword(s):  
Robust Estimation ◽  
Branching Processes ◽  
Controlled Branching Processes ◽  
Bayesian Estimators

scholarly journals Asymptotic behaviour of critical controlled branching processes with random control functions

2005 ◽  
Vol 42 (2) ◽  
pp. 463-477 ◽  
Author(s):  
M. González ◽  
M. Molina ◽  
I. del Puerto
Keyword(s):  
Asymptotic Behaviour ◽  
Critical Case ◽  
Branching Processes ◽  
Sufficient Conditions ◽  
Positive Probability ◽  
Control Functions ◽  
Limiting Behaviour ◽  
Controlled Branching Processes ◽  
Random Control

In this paper, we investigate the asymptotic behaviour of controlled branching processes with random control functions. In a critical case, we establish sufficient conditions for both their almost-sure extinction and for their nonextinction with a positive probability. For some suitably chosen norming constants, we also determine different kinds of limiting behaviour for this class of processes.

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