Minimum Hellinger distance estimation for supercritical Galton-Watson processes

T. N. Sriram and A. N. Vidyashankar

Statistics & Probability Letters, 2000, vol. 50, issue 4, 331-342

Abstract: This paper studies the asymptotic behavior of the minimum Hellinger distance estimator of the underlying parameter in a supercritical branching process whose offspring distribution is known to belong to a parametric family. This estimator is shown to be asymptotically normal, efficient at the true model and robust against gross errors. These extend the results of Beran (Ann. Statist. 5, 445-463 (1977)) from an i.i.d., continuous setup to a dependent, discrete setup.

Keywords: Hellinger; functional; Minimum; Hellinger; distance; Asymptotic; efficiency; [alpha]-influence; curves; Breakdown; point (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (5)

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