A study of the behaviour of certain known estimators on the non-extinction path of a branching process

Consider a super-critical Galton—Watson branching process. Gadag and Kunte (1980) have shown that such a process when restricted to non-extinction set does not retain branching property. In this note, we study the properties of the known estimators of the offspring mean (Nagaev, 1967) and offspring...

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Bibliographic Details
Published in:Statistics & probability letters 1991-08, Vol.12 (2), p.135-139
Main Authors: Gadag, V.G., Gupta, R.P.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Inference from stochastic processes
time series analysis
Mathematics
Probability and statistics
Sciences and techniques of general use
Statistics
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Summary:Consider a super-critical Galton—Watson branching process. Gadag and Kunte (1980) have shown that such a process when restricted to non-extinction set does not retain branching property. In this note, we study the properties of the known estimators of the offspring mean (Nagaev, 1967) and offspring probability distribution and offspring probability generating function (Pakes, 1975), in the light of the result of Gadag and Kunte (1980).
ISSN:0167-7152
1879-2103
DOI:10.1016/0167-7152(91)90057-X