References
- Aepamobnu, M., Cthtah, N. (1979). Cnpasorhuk no cneuualbhbim oyhkyuam, Hayka, (Ü.a.d.Engl.).
- Baldesari , B. 1967 . The distribution of a quadratic form of normal random variables . Annals Math.Stat , 38 : 1700 – 1704 .
- Box , G.E.P. 1954 . Some theorems on quadratic forms applied in the study of analysis of variance problems, I. Effect of inequality of variance in the one–way classification . Annals Math.Stat , 25 : 290 – 302 .
- Xehhekeh. II.JI., A.Toptpa (1974). Teopur espormuonceu u menimopble ee npurooscehur. Hayka, (Übers.a.d.Franz).
- Fisz , M. 1968 . Wahrscheinlichkeitsrechnung und mathematische Statistik , Berlin : VEB DVW .
- Fix , E. 1949 . Tables of the noncentral X2 , Vol. 1 , 143 Univ.Calif.Publ.Stat. .
- Gnedenko , B.W. , Beljajew , J.K. and Solowjew , A.D. 1968 . Mathematische Methoden der Zuverlässigkeitstheorie , Berlin : Bd.I. Akademie–Verlag .
- Grad , A. and Solomon , H. 1955 . Distribution of quadratic forms and some applications . Annals Math.Stat , 26 : 464 – 477 .
- Gregory , G.G. 1980 . On efficiency and optimality of [ILM001]quadratic tests . Annals Statistics , 8 : 116 – 131 .
- Gregory , G.G. 1977 . Large sample theory for U–and tests of fit . Annals Statistics , 5 : 197 – 205 .
- Gurland , J. 1953 . Distribuiton of quadratic forms and ratios of quadratic forms . Annals Math.Stat , 24 : 416 – 427 .
- Gurland , J. 1955 . Distribuiton of definite and of indefinite quadratic forms . Annals Math.Stat , 26 : 122 – 127 .
- Hoffmann–Jorgensen , J. , Shepp , L.A. and Dudley , R.M. 1979 . On the lower tail of Gaussian seminorms . Annals Probab , 7 : 319 – 342 .
- Khatri , C.G. 1977 . “ Quadratic forms and extenxions of Cochran's theorem to normal vector variables ” . In Multivariate analysis-IV , Edited by: Krishnaiah , P.R. 79 – 94 . North–Holl. Publ .
- Koopmans , L.H. and Qualls , C. 1972 . An exponential probability bound for the energy of a typ of Gaussian process . Annals Math.Stat , 43 : 1953 – 1960 .
- Kotz , S. , Johnson , N.L. and Boyd , D.W. 1967 . Series representation of distributions of quadratic forms in normal variables II. Non–central case . Annals Math.Stat , 38 : 838 – 848 .
- Patnaick , P.B. 1946 . The noncentral X2 and F–distributions and their applications . Biometrika , 36 : 202 – 232 .
-
Richter
,
M.
1979
.
Berechung der Verteilungsfunktion der Zufallsgröe und deren Anwendungen
.
Wiss.Zeitschr.TH Karl–Marx–Stadt
, 21 : 633 – 643 .
- Richter, M. Sequentielle Approximation Gausscher zufälliger Elemente. In Vorbereitung.
- Robbins , H. and Pitman , E.J.G. 1949 . Applications of the method of mixtures to quadratic forms in normal variables . Annals Math.Stat , 20 : 552 – 560 .
- Robbins , H. and Woodroofe , M. 1972 . A Cramer–von Mises statistic for testing symmetry . Annals Math.Stat , 43 : 2035 – 2038 .
- Shah , B.K. 1963 . Distribution of definite and of indefinite quadratic forms from a non–central normal distribution . Annals Math.Stat , 34 : 186 – 190 .
- Shah , J. and O'Muircheartaigh , I. 1977 . The distribution of nonnegative quadratic forms in normal variables . Applied Statistics , 26 : 92 – 98 .
- Smirnov , N.N. 1936 . Sur la distribution de w2 , Vol. 202 , 449 – 452 . Paris : C.R.Acad.Sci .
- Varberg , D.E. 1966 . Convergence of quadratic forms in independent random variables . Annals Math.Stat , 37 : 567 – 576 .