References
- Barlow , R.E. , Bartholomew , D.J. , Bremner , J.M. and Brunk , H.D. 1972 . Statistical Inference Under Order Restrictions , New York : John Wiley & Sons .
- Bock , M.E. 1982 . Employing vague inequality information in the estimation of normal mean vectors . Statistical Decision Theory and Related Topics III , 1 : 169 – 193 .
- Brunk , H.D. 1965 . Conditional expectation given :* applications . Ann. Math. Statist , 36 : 1339 – 1350 .
- Chernoff , H. 1954 . On the distribution of the likelihood ratio . Ann. Math Statist , 25 : 573 – 578 .
- Dykstra , R.L. 1983 . An algorithm for restricted least squares regression . J. Am. Statist. Assoc , 78 : 837 – 842 .
- Dykstra , R.L. and Robertson , T. 1980 . On testing monotone tendencies . J. Am. Statist. Assoc , 78 : 342 – 350 .
- Feder , P.I. 1968 . On the distribution of the log likelihood ratio test statistic when the true parameter is near the boundaries of the hypothesis regions . Ann. Math. Statist , 39 : 2044 – 2055 .
- Hartigan , J.A. 1967 . Distribution of the residual sum of squares in fitting inequalities . Biometrika , 54 : 69 – 84 .
- Kudo , A. 1963 . A multivariate anologue of the one-sided test . Biometrika , 50 : 403 – 418 .
- Kudo , A. , Sasabuchi , S. and Choi , J.R. 1981 . Test of equality of normal means in the absence of independent estimator of variance . Commun. Statist , A10 : 659 – 668 .
- Kudo , A. and Yao , J.S. 1982 . Tables for testing ordered alternatives in an analysis of variance without replications . Biometrika , 69 : 237 – 238 .
- Lee , C.C. 1983 . The min-max algorithm and isotonic regression . Ann. Statist , 11 : 467 – 477 .
- Marshall , A.W. , Walkup , D.W. and R.J-B , Wets . 1967 . Order-preserving functions; applications to majorization and order statistics . Pacific J. of Math , 23 : 569 – 584 .
- Mukerjee , H. , Robertson , T. and Wright , F.T. 1985 . An Anderson type inequality for elliptically contoured densities with applications in order restricted inference . Ann. Statist , 23
- Robertson , T. 1978 . Testing for and against an order restriction on multinomial parameters . J. Am Statist. Assoc , 23 : 197 – 202 .
- Robertson , T. and Wegman , E.J. 1978 . Likelihood ratio tests for order restrictions in exponential families . Ann.Statist , 6 : 485 – 505 .
- Robertson , T. and Wright , F.T. 1982 . On measuring the conformity of a parameter set to a trend, with applicaions . Ann.Statist , 10 : 1234 – 1245 .
- Robertson , T. and Wright , F.T. 1983 . On approximation of the level probabilities and associated distributions in order restricted inference . Biometrika , 70 : 397 – 606 .
- Sasabuchi , S. 1980 . A test of a multivariate normal mean with composite hypotheses determined by linear inequalities . Biometrika , 67 : 429 – 439 .
- Shapiro , A. 1985 . Asymptotic distribution of test statistics in the analysis of moment structures under inequality constraints . Biometrika , 72 : 133 – 144 .
- Stoer , J. and Witzgall , C. 1970 . Convexity and Optimization in Finite Dimensions, I , Berlin : Springer-Verlag .
- Warrack , G. and Robertson , T. 1984 . A likelihood ratio test regarding two nested but oblique order-restricted hypotheses . J. Am. Statist. Assoc , 79 : 881 – 886 .
- Wilhelmsen , D.R. 1976 . A nearest point algorithm for convex polyhedral cones and applications to positive linear approximation . Mathematics of Computation , 30 : 48 – 57 .
- Wynn , H.P. 1975 . Integrals for one-sided confidence bounds: a general result . Biometrika , 62 : 393 – 396 .
- Zarantonello , E.H. 1971 . Projections on convex sets in Hilbert space and spectral theory . Contributions to Nonlinear Functional Analysis , 62 : 237 – 424 .