Bibliography
- Bland , R. P. and Owen , D. B. 1966 . “ A note on singular normal distributions ” . In Ann. Inst. Statis. Math. Vol. 18 , 113 – 116 . Tokyo
- Bohrer , R. and Shervish , M. J. 1981 . An error-bounded algorithm for normal probabilities of rectangular regions . Technometrics , 23 ( 3 ) : 297 – 300 .
- Bracken , J. P. and McCormick , G. P. 1968 . Selected Applications of Nonlinear Programming , New York : Wiley .
- Carnahan , B. , Luther , H. A. and Wilkes , J. O. 1969 . Applied Numerical Methods , New York : Wiley .
- Coxeter , H. S. M. 1963 . Regular Polytopes , 2nd , New York : Mcmillan Co .
- David , H. A. 1970 . Order Statistics , New York : Wiley .
- Dawson , D. A. and Sankoff , D. . An inequality for probabilities . Proc. Amer. Math. Soc. . Vol. 18 , pp. 504 – 507 .
- Feller , W. 1968 . An Introduction to Probability Theory and its Applications , 3rd , Vol. 1 , New York : Wiley .
- Galambos , J. 1975 . Methods for proving Bonferroni type inequalities . J. London Math. Soc. , 9 ( 2 ) : 561 – 564 .
- Galambos , J. 1978 . The Asymptotic Theory of Extreme Order Statistics , New York : Wiley .
- Graybill , F. A. 1969 . Introduction to Matrices With Applications in Statistics , Belmont, California : Wadsworth .
- Grubbs , F. E. 1950 . Sample criteria for testing outlying observations . Ann. Math. Statist. , 21 : 27 – 58 .
- Harvard University Computing Laboratory . 1955 . Tables of the Cumulative Binomial Probability Distribution , Cambridge : Harvard Univ. Press . Mass
- Hillier , F. S. and Lieberman , G. J. 1967 . Operations Research , 2nd. , San Francisco : Holden-Day, Inc. .
- John , S. 1966 . On the evaluation of probabilities of convex polyhedra under multivariate normal and t-distributions . J. Roy. Statist.Soc. Ser.B , 28 : 366 – 369 .
- Kotz , S. and Johnson , N. L. , eds. 1982 . Encyclopedia of Statistical Sciences , Vol. 1 , New York : Wiley . editors-in-chief
- Kounias , S. and Marin , J. 1976 . Best Linear Bonferroni Bounds . Siam J. Appl. Math. , 30 : 307 – 323 .
- Lancaster , H. O. 1965 . The Helmert Matrices . Amer. Math. Monthly , 72 : 4 – 11 .
- McCormick , M. J. and Salvadori , M. G. 1964 . Numerical Methods in Fortran , Englewood Cliffs, N. J. : Prentice-Hall, Inc. .
- Milton , R. C. 1972 . Computer evaluation of the multivariate normal integral . Technometrics , 14 ( 4 ) : 88l – 889 .
- National Bureau of Standards . 1959 . Tables of the Bivariate Normal Distribution Function and Related Functions. Appl. Math. Ser. 50 , D. C., Washington : U. S. Government Printing Office .
- Pierre , D. A. and Lowe , M. J. 1975 . Mathematical Programming via Augmented Lagrangians:An Introduction With Computer Programs , Reading : Addison-Wesley . Mass
- Prekopa , A. . On probabilistic constrained programming . Proc. Princeton Symp. Math. Programming . Princeton, N. J.. Edited by: Kuhn , H. W. Princeton Univ. Press .
- Ruben , H. 1960 . Probability content of regions under spherical normal distributions, I . Ann. Math. Statist. , 31 : 598 – 618 .
- Schläfli , L. 1858 . On the multiple integral fn dx dy …dz whose limits are p1a1x+b1y+….+h1z ≥ 0,…p≥0 and x2+y2+….+z2 ≤ 1. Quart. . J. of Pure and Applied Math. , 2 : 269 – 301 . 3(1860):54-68, 97-108
- Sobel , M. and Uppuluri , V. R. R. 1972 . On Bonferroni-type inequalities the same degree for the probability of unions and intersection intersections . Ann. Math. Statist. , 43 : 1549 – 1558 .
- Steck , G. P. and Owen , D. B. 1962 . A note on the uquicorrelated normal distribution . Biometrika , 49 : 269 – 271 .
- Takács , L. 1967 . On the method of inclusion and exclusion . J. Amer. Statist. Assoc. , 62 : 102 – 113 .