Second-order asymptotic expansion for the risk in classification of curved exponential populations

Kestutis Ducinskas and Jurate Saltyte

Statistics & Probability Letters, 2002, vol. 59, issue 3, 271-279

Abstract: This paper deals with the problem of classifying an observation into one of two curved exponential populations. The plug-in classification rule obtained by replacing unknown parameters with their bias-adjusted ML estimators in Bayes classification rule is used. The second-order asymptotic expansion with respect to the inverses of the training sample sizes for the expected regret risk is derived.

Keywords: Bayes; classification; rule; Curved; exponential; family; Bias-adjusted; Expected; regret; risk (search for similar items in EconPapers)
Date: 2002
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