The Evaluation of Integrals of the form ∫ +∞ −∞ f ( t )exp(− t 2 ) dt : Application to Logistic-Normal Models
高斯权重积分的计算及其在 Logistic-normal 模型中的应用
Logistic-normal distributions and related functions arise in a variety of statistical applications of current interest, including binary measurement-error models and the analysis of teratogenicity experiments. Analytic intractability has led to the development of numerous approximations to the desired forms, often with consequences that have not been well studied. A method is developed to compute these forms to arbitrary accuracy, and comparative calculations are made that…