Estimation of the criticality parameter of a superitical branching process with random environments
Keyword(s):
For a supercritical branching process x = {xn; n ≧ 0, x0 = 1} with random environments, define when xn > 0; and = 1 when xn = 0. When x is assumed to satisfy the standard regularity assumptions, under the non-extinction hypothesis, is a strongly consistent and asymptotically unbiased estimator for the criticality parameter π and is asymptotically normal. A strongly consistent estimator, is also proposed for the associated variance, σ2.
1979 ◽
Vol 16
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pp. 890-896
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1969 ◽
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pp. 478-492
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2020 ◽
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pp. 1059-1078
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1999 ◽
Vol 36
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pp. 611-619
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