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Accounting Research Altman amount of information assets information balance sheet balance sheet decomposition bankruptcy Baruch Lev Beaver's binomial test Blum's models business failure calculated cash flow/total debt centroids chi-square test classification rules cn cn Coarse compared correlation criterion current assets Current items information current liabilities decision decomposition measures Discriminant Analysis discriminant function discriminant models dispersion matrices earnings variability Eisenbeis empirical entropy equities information equities information-fine F-statistics factor failed and nonfailed failed firms financial ratios firm's four multivariate Hamer's model included income statement indicates information inaccuracy information theory measures information-coarse Journal of Accounting kurtosis linear and quadratic linear discriminant logarithm Mahalanobis distance multivariate models multivariate normal multivariate normal distribution nonfailed firms normal distribution partition predict failure prediction of failure predictors quadratic function sample scaled discriminant coefficients sheet decomposition measures skewness statistically significant Table tion total misclassification rate univariate predictive ability variable set