Distribution of a Sum of Weighted Chi-Square Variables

References

• Amos , Donald E. and Daniel , S. L. 1971 . “Tables of Percentage Points of Standardized Pearson Distributions,” , Albuquerque , New Mexico : Sandia Laboratories . Research Report SC-RR-71 0348
   Google Scholar
• Bouver , Hubert and Bargmann , Rolf E. 1973 . “Tables of the Standardized Percentage Points of the Pearson System of Curves in Terms of β₁ and β₂,” , Department of Statistics and Computer Science, University of Georgia . Technical Report No. 107
   Google Scholar
• Davis , A. W. 1977 . “A Differential Equation Approach to Linear Combinations of Independent Chi-Squares,” . Journal of the American Statistical Association , 72 : 212 – 214 .
   Web of Science ®Google Scholar
• Durbin , James and Knott , Martin . 1972 . “Components of Cramer-von Mises Statistics, I,” . Journal of the Royal Statistical Society , 34 : 290 – 307 . Ser. B
   Google Scholar
• Durbin , James , Knott , Martin and Taylor , C. C. 1975 . “Components of Cramer-von Mises Statistics, II,” . Journal of the Royal Statistical Society , 37 : 216 – 237 . Ser. B
   Google Scholar
• Grad , Arthur and Solomon , Herbert . 1955 . “Distribution of Quadratic Forms and Some Applications,” . Annals of Mathematical Statistics , 26 : 464 – 477 .
   Google Scholar
• Imhof , J. P. 1961 . “Computing the Distribution of Quadratic Forms in Normal Variables,” . Biometrika , 48 : 417 – 426 .
   Web of Science ®Google Scholar
• Jensen , Donald R. and Solomon , Herbert . 1972 . “A Gaussian Approximation to the Distribution of a Definite Quadratic Form,” . Journal of the American Statistical Association , 67 : 898 – 902 .
   Web of Science ®Google Scholar
• Johnson , Norman L. and Kotz , Samuel . 1968 . “Tables of Distributions of Positive Definite Quadratic Forms in Central Normal Variables,” . Sankhy[abar], B , 30 : 303 – 314 .
   Google Scholar
• Johnson , Norman L. , Kotz , Samuel , Nixon , E. , Amos , Donald E. and Pearson , Egon S. 1963 . “Table of Percentage Points of Pearson Curves, for Given β1 and β2, Expressed in Standard Measure,” . Biometrika , 50 : 459 – 498 .
   Web of Science ®Google Scholar
• Moore , David S. 1976 . “Recent Developments in Chi-Square Tests for Goodness-of-Fit,” , Department of Statistics, Purdue University . Technical Report 459
   Google Scholar
• Owen , Donald B. 1962 . Handbook of Statistical Tables , Reading , Mass. : Addison-Wesley .
   Google Scholar
• Patnaik , P. B. 1949 . “The Noncentral x 2 and F-Distributions and Their Applications,” . Biometrika , 36 : 202 – 232 .
   PubMed Web of Science ®Google Scholar
• Pearson , Egon S. 1959 . “Note on an Approximation to the Distribution of Noncentral x 2,” . Biometrika , 46 : 364
   Web of Science ®Google Scholar
• Pearson , Egon S. and Hartley , H. O. 1972 . Biometrika Tables for Statisticians , Vol. 2 , Cambridge : Cambridge University Press .
   Google Scholar
• Pettitt , Anthony N. and Stephens , Michael A. 1976 . “Modified Cramer-von Mises Statistics for Censored Data,” . Biometrika , 63 : 291 – 298 .
   Web of Science ®Google Scholar
• Solomon , Herbert . 1960 . “Distribution of Quadratic Forms—Tables and Applications,” , Stanford , California : Applied Mathematics and Statistics Laboratories, Stanford University . Technical Report 45
   Google Scholar
• Solomon , Herbert and Stephens , Michael A. 1975 . “Pearson Curves Revisited,” , Stanford , California : Department of Statistics, Stanford University . Technical Report No. 226
   Google Scholar