Maximum Likelihood and Quasi-Likelihood for Nonlinear Exponential Family Regression Models
该文为非线性指数族和拟似然回归模型提供了一个统一的算法框架，用于计算参数估计和回归诊断，扩展了非线性最小二乘方法，包含迭代加权最小二乘和Hessian矩阵的割线更新。
Abstract Linear and nonlinear exponential family and quasi-likelihood regression models form a class of models with a structure that invites using one algorithmic framework to compute parameter estimates and regression diagnostics. This framework extends our work on nonlinear least squares; it includes iteratively reweighted least squares but also encompasses secant updates for part of the Hessian matrix of the likelihood or quasi-likelihood function along with tests for when to use this information. The framework also provides basic machinery for computing “leave one out”-style regression diagnostics. We describe the framework, discuss some implementation details, and present some numerical experience.