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Improved Tolerance Factors for Multivariate Normal Distributions
Authors:K Krishnamoorthy  Sumona Mondal
Institution:1. Department of Mathematics , University of Louisiana at Lafayette , Lafayette , Louisiana , USA krishna@louisiana.edu;3. Department of Mathematics , University of Louisiana at Lafayette , Lafayette , Louisiana , USA
Abstract:The Qos and Qm are two leading estimators of the probability of misclassification which are based on the asymptotic expansion of the the expected value of the Error Rate, Pi. The estimators are, however, not suitable for estimating the Error rates for certain ranges of the parameters p , n1, n2 and ß.We investigate the regions in which they produce unacceptable estimates , and show that the Qos is, in general, better than the Qm in producing acceptable estimates
Keywords:Confidence  Content  Coverage probability  Non central chi-square approximation  Wishart distribution
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