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On sequential procedures for the point estimation of the mean of a normal population
Authors:Ajit Chaturvedi
Affiliation:(1) Department of Statistics, Lucknow University, 226004 Lucknow, India
Abstract:The sequential procedures developed by Starr (1966, Ann. Math. Statist., 37, 1173–1185) for estimating the mean of a normal population are further analyzed. Asymptotic properties of the ldquoregretrdquo and first two moments of the stopping rules are studied and second-order approximations are derived.
Keywords:Normal mean  point estimation  loss  risk  stopping rule  regret  martingales  uniform integrability  second-order approximations
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