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Estimation of the criticality parameter of a superitical branching process with random environments

Published online by Cambridge University Press:  14 July 2016

K. Nanthi
K. Nanthi*
Affiliation:
University of Madras
*
∗Postal address: Department of Statistics, University of Madras, Madras 600005, India.
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Abstract

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.

Keywords

ESTIMATION OF MEANESTIMATION OF VARIANCECONFIDENCE BOUNDSASYMPTOTIC PROPERTIES
Type
Short Communications
Information
Journal of Applied Probability , Volume 16 , Issue 4 , December 1979 , pp. 890 - 896
Copyright
Copyright © Applied Probability Trust 1979 

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Footnotes

Research supported by the University Grants Commission, India.

References

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