http://yunpengtai.top/tags/linear-models/ Recent content in linear models on Tai's Blog http://yunpengtai.top/%3Clink%20or%20path%20of%20image%20for%20opengraph,%20twitter-cards%3E http://yunpengtai.top/%3Clink%20or%20path%20of%20image%20for%20opengraph,%20twitter-cards%3E Hugo -- gohugo.io en Fri, 17 Feb 2023 14:10:00 +0800 http://yunpengtai.top/posts/generalized-linear-models/ Fri, 17 Feb 2023 14:10:00 +0800 http://yunpengtai.top/posts/generalized-linear-models/ 定义 若一个分布能够以下述方式进行表示，则称之为指数族（ Exponential Family）的一员 $$ \begin{equation} p(y; \eta ) = b(y)\exp(\eta^{\mathbf{T}}T(y) - a(\eta )) \end{equation} $$ 其中$\eta$被称为分布的自然参数（n