References
- Barndorff-Nielsen , O. E. 1986 . Inference on Full or Partial Parameters Based on the Standardized Signed Log-Likelihood Ratio . Biometrika , 73 : 307 – 322 .
- Barndorff-Nielsen , O. E. 1990 . Approximate Interval Probabilities . Journal of the Royal Statistical Society , 52 : 485 – 496 . Ser. B
- Barndorff-Nielsen , O. E. 1991 . Modified Signed Log-Likelihood Ratio . Biometrika , 78 : 557 – 563 .
- Bleistein , N. 1966 . Uniform Expansion of Integrals With Stationary Points Near Algebraic Singularity . Communications in Pure and Applied Mathematics , 19 : 353 – 370 .
- Buckley , M. J. and Eagleson , G. K. 1988 . An Approximation to the Distribution of Quadratic Forms in Normal Random Variables . Australian Journal of Statistics , 30A : 150 – 159 .
- Daniels , H. E. 1987 . Tail Probability Approximations . International Statistical Review , 55 : 37 – 48 .
- Esscher , F. 1932 . On the Probability Function in the Collective Theory of Risk . Skandinavisk Aktuarietidskrift , 15 : 175 – 195 .
- Feller , W. 1968 . An Introduction to Probability Theory and Its Applications , New York : John Wiley .
- Fraser , D. A. S. 1990 . Tail Probabilities From Observed Likelihoods . Biometrika , 77 : 65 – 76 .
- Fraser , D. A. S. , Reid , N. and Wong , A. 1991 . Exponential Linear Models: A Two-Pass Procedure for Saddlepoint Approximation . Journal of the Royal Statistical Society , 53 : 483 – 492 . Ser. B
- Jensen , J. L. 1988 . Uniform Saddlepoint Approximations . Advances in Applied Probability , 20 : 622 – 634 .
- Jensen , J. L. 1991 . A Large Deviation-Type Approximation for the ‘Box Class’ of Likelihood Ratio Criteria . Journal of the American Statistical Association , 86 : 437 – 444 .
- Johnson , N. L. and Kotz , S. 1970 . Continuous Univariate Distributions 2 , Boston : Houghton Mifflin .
- Lugannani , R. and Rice , S. O. 1980 . Saddlepoint Approximation for the Distribution of the Sum of Independent Random Variables . Advances in Applied Probability , 12 : 475 – 490 .
- McCullagh , P. 1987 . Tensor Methods in Statistics , London : Chapman and Hall .
- Owen , D. B. 1962 . Handbook of Statistical Tables , Reading , MA : Addison-Wesley .
- Skovgaard , I. 1987 . Saddlepoint Expansions for Conditional Distributions . Journal of Applied Probability , 24 : 275 – 287 .
- Rice , S. O. 1980 . Distribution of Quadratic Forms in Normal Random Variables–Evaluation by Numerical Integration . SIAM Journal on Scientific and Statistical Computing , 1 : 438 – 448 .
- Wood , A. T. A. 1989 . An F Approximation to the Distribution of a Linear Combination of Chi-Squared Variables . Communications in Statistics: Simulation and Computation , 18 : 1439 – 1456 .