On the uniform strong consistency of an estimator of the offspring mean in a branching process with immigration
For the critical and sub-critical branching process with immigration, the natural estimator of the offspring mean 'm' is shown to be strongly consistent uniformly over a whole class of offspring distributions with m [epsilon] (0, 1] and bounded variance.
| Year of publication: |
1991
|
|---|---|
| Authors: | Sriram, T. N. |
| Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 12.1991, 2, p. 151-155
|
| Publisher: |
Elsevier |
| Keywords: | Branching process with immigration uniform strong consistency martingale almost supermartingale |
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