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1 results

Estimation of the criticality parameter of a superitical branching process with random environments
K. Nanthi
Journal:

Journal of Applied Probability / Volume 16 / Issue 4 / December 1979

Published online by Cambridge University Press:

14 July 2016, pp. 890-896

Print publication:

December 1979
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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.