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An Analysis of the Properties of the Exact Finite Sample Distribution of a Nonconsistent GCL Structural Variance Estimator
Donald H. Ebbeler
James B. McDonald
Abstract
An asymptotic expansion of a confluent hypergeometric series is used to approximate the exact finite sample distribution function of a nonconsistent GCL structural variance estimator. A theoretical result is used to motivate the specification of a simple algorithm under which we may accept or reject the use of the asymptotic distribution function of the GCL estimator to approximate the exact distribution function.
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