A note on two-stage point estimation in bernoulitrials

Name: A note on two-stage point estimation in bernoulitrials
Creator: Jeng-Fu Liu
Keywords: 4. Education, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 16. Peace & justice, 01 natural sciences

Two-stage point estimation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2000 English Publisher:Informa UK LimitedJournal:Sequential Analysis, volume 19, pages 161-176 (issn: 0747-4946, eissn: 1532-4176,

Authors: Jeng-Fu Liu;

doi: 10.1080/07474940008836448

A note on two-stage point estimation in bernoulitrials

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Abstract

The estimation problem for success probability p, in a sequence of Bernoulli trials, is considered. The loss function is the sum of a multiple of the symmetrized relative squared estimation error appropriate for p close to 0 or 1, and the aggregate cost of observations. A two-stage sampling procedure is proposed and its asymptotic properties for the risk and the moments are studied from both a frequentist and a Bayesian viewpoint.

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Fu Jen Catholic University
Taiwan

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