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Diffusion approximation of the two-type Galton-Watson process with mean matrix close to the identity

Author

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  • Buckholtz, P. G.
  • Wasan, M. T.

Abstract

In this paper a diffusion approximation to the two-type Galton-Watson branching processes with mean matrix close to the identity is given in the form of Berstein stochastic differentials. An associated diffusion equation is found using an extension of the one-dimensional Bernstein technique. Expressions for the mean vector and covariance matrix of the diffusion approximation are derived.

Suggested Citation

  • Buckholtz, P. G. & Wasan, M. T., 1982. "Diffusion approximation of the two-type Galton-Watson process with mean matrix close to the identity," Journal of Multivariate Analysis, Elsevier, vol. 12(4), pages 493-507, December.
    • Handle: RePEc:eee:jmvana:v:12:y:1982:i:4:p:493-507
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