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Estimation of the variance for a controlled branching process

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Abstract

In this paper we obtain estimators for the variance of the offspring distribution of a controlled branching process and we derive, for these estimators, some moments and asymptotic properties as consistency and limiting distribution.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Extremadura, 06071, Badajoz, Spain

    Miguel González, Rodrigo Martínez & Iné del Puerto

Authors
  1. Miguel González
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  2. Rodrigo Martínez
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  3. Iné del Puerto
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Corresponding author

Correspondence to Miguel González.

Additional information

Research supported by the Ministerio de Ciencia y Tecnología and the FEDER through the Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica, grant BFM2003-06074.

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González, M., Martínez, R. & del Puerto, I. Estimation of the variance for a controlled branching process. Test 14, 199–213 (2005). https://doi.org/10.1007/BF02595403

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  • DOI: https://doi.org/10.1007/BF02595403

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