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Estimation of the variance for the multitype Galton–Watson process
Published online by Cambridge University Press: 14 July 2016
Abstract
This paper is concerned with the estimation of the variance for the multitype Galton-Watson process X = {Xn = (Xn(1),…, Xn(p)); n ≧ 0}. Two estimators for the variance matrix are obtained and asymptotic results for the estimators are given. The first is a maximum likelihood estimator based upon knowledge of individual offspring sizes, the second estimator is based on parent-offspring type combination counts only. Estimators for the asymptotic variances of the Asmussen and Keiding estimator and Becker estimator are also proposed.
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- Copyright © Applied Probability Trust 1982
Footnotes
This work forms part of the authors' doctoral dissertation under the guidance of Professor K. N. Venkataraman, University of Madras. Research supported by the University Grants Commission, India.
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