论文信息 - Saddlepoint approximations for curved exponential families

Saddlepoint approximations for curved exponential families

An approximation of the density of the maximum likelihood estimator in curved exponential families is derived using a saddlepoint expansion. The approximation is particularly simple in nonlinear regression. An example is considered.

Philip Hougaard

[1] Chris Field,et al. Small Sample Asymptotic Expansions for Multivariate $M$-Estimates , 1982 .

[2] H. Daniels. Saddlepoint approximations for estimating equations , 1983 .

[3] D. G. Watts,et al. Parameter Transformations for Improved Approximate Confidence Regions in Nonlinear Least Squares , 1981 .

[4] G. J. S. Ross,et al. The Efficient Use of Function Minimization in Non‐Linear Maximum‐Likelihood Estimation , 1970 .

[5] P. Hougaard. The Appropriateness of the Asymptotic Distribution in a Nonlinear Regression Model in Relation to Curvature , 1985 .

[6] Philip Hougaard,et al. Parametrizations of Non‐Linear Models , 1982 .