数学
应用数学
统计推断
最大熵原理
多项式分布
线性模型
反向
反问题
协方差
熵(时间箭头)
最大熵概率分布
数学优化
统计
数学分析
物理
量子力学
几何学
作者
Amos Golan,George G. Judge,Douglas J. Miller
摘要
The Classical Maximum Entropy Formalism: A Review. PURE INVERSE PROBLEMS. Basic Maximum Entropy Principle: Formulation and Extensions. Formulation and Solution of Pure Inverse Problems. Generalized Pure Inverse Problems. LINEAR INVERSE PROBLEMS WITH NOISE. Generalized Maximum Entropy (GME) and Cross-Entropy (GCE) Formulations. Finite Sample Extensions of GME-GCE. GENERAL LINEAR MODEL APPLICATIONS OF GME-GCE. GME-GCE Solutions to Ill-conditioned Problems. General Linear Statistical Model with a Non-scalar Identity Covariance Matrix Statistical Model Selection. A SYSTEM OF ECONOMIC STATISTICAL RELATIONS. Sets of Linear Statistical Models. Simultaneous Equations Statistical Model. LINEAR AND NON-LINEAR DYNAMIC SYSTEMS. Estimation and Inference of Dynamic Linear Inverse Problems. Linear and Non-linear Dynamic Systems with Control. DISCRETE CHOICE-CENSORED PROBLEMS. Recovering Information from Multinomial Response Data. Recovering Information from Censored Response Data. COMPUTATIONAL NOTES. Computing GME-GCE Solutions. Epilogue. Selected Reading. Index.
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