SADDLEPOINT APPROXIMATIONS FOR NONCENTRAL QUADRATIC FORMS
非中心二次型统计量的鞍点近似
Many estimators and tests are of the form of a ratio of quadratic forms in normal variables. Excepting a few very special cases little is known about the density or distribution of these ratios, particularly if we allow for noncentrality in the quadratic forms. This paper assumes this generality and derives saddlepoint approximations for this class of statistics. We first derive and prove the existence of an exact inversion based on the joint characteristic function. Then…