This annual report reviews work by Drs. Leon Jay Gleser and David S. Moore and various students, on the following topics: minimax estimation of the mean vectors of multivariate normal distributions with unknown covariance matrix; minimax and computational stability properties of generalized ridge regression estimators of regression coefficients in the classical linear model; Bayes multiple comparison procedures in two-factor ANOVA designs; calculation and properties of point and interval estimates of slope parameters in multivariate errors-in-variables regression models (linear functional equations); Bahadur exact slopes of intersection-union and union-intersection tests; asymptotic pointwise optimal and asymptotically optimal sequential Bayes regional estimators for all of, or functions of, a vector parameter; chi-squared goodness-of-fit tests for censored data; chi-squared goodness-of-fit tests for multivariate normality; and the general theory and application of chi-squared tests. A bibliography of publications and reports is provided. (Author)