Abstract

EXPECTED PROBABILITY OF MISCLASSIFICATION FOR EDGEWORTH SERIES DISTRIBUTION

Awogbemi, Clement Adeyeye1 and Urama Kenny Ugochukwu2

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Abstract In this paper, expected probability of misclassification for Edgeworth Series Distribution (ESD) was generated by employing characteristic function and conditional expectation approach. The error of misclassification for the ESD was evaluated by joint distribution of two independent random variables. It was established that as the sample sizes increase from populations and respectively, and dropping out the terms and higher order, the characteristic function of the variables remains that of the bi-variate ESD. An alternative approach to finding the expected probability of misclassification for ESD was proffered through the use of asymptotic joint probability density function of the random variables. Keywords: Expected Probability of Misclassification, Edgeworth Series Distribution, Characteristic Function, and Conditional Probability of Misclassification.

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