A joint estimator for the eigenvalues of the reproduction mean matrix of a multitype Galton-Watson process

Linear Algebra and Its Applications

Volumn 264, Issue 1-3, 1997, Pages 189-203

  Carvalho, Maria Lucília ^a  

^a UNIVERSITY OF LISBON   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039976463     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)82946-1     Document Type: Article

References (9)

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2. S. Asmussen and N. Keiding, Martingale central limit theorems and asymptotic theory for multitype branching processes, Adv. Appl. Probab. 10:109-129 (1978).
3. K. B. Athreya and P. .E. Ney, Branching Processes, Springer-Verlag, New York, 1972.
4. K. B. Athreya and N. Kaplan, Additive property and its applications in branching processes, Adv. Appl. Probab. 5:27-60.
5. F. R. Gantmacher, The Theory of Matrices, Vol. 1, Chelsea, 1966.
6. C. J. Mode, Multitype Branching Processes. Theory and Applications, Amer. Elsevier, 1971.
7. R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge U. P., 1985.
8. R. Kh. Khairullin, On the statistic of Galton-Watson processes with several types of particles, Issled. Prikl. Mat. 16:81-97, 1989.
9. I. S. Badalbaev and A. Mukhitdinov, On the estimate for the direction of an eigenvector of a matrix of the expected values in a multitype Galton-Watson branching process with immigration, in Asymptotic Methods in Probability Theory and Mathematical Statistics, Fan, Tashkent, 1990, pp. 44-62, 220.