Linear Models and Generalizations : Least Squares and Alternatives

Linear Models and Generalizations : Least Squares and Alternatives

المؤلف
C. Radhakrishna Rao, Shalabh, Helge Toutenburg, Christian Heumann
سنة النشر
2008
الناشر
Springer
لغة الملف
انكليزي
نوع الملف
Book
تصنيف الكتاب
Mathematics and Statistics

Gives an up-to-date account of the theory and applications of linear models. The book can be used as a text for courses in statistics at the graduate level and as an accompanying text for courses in other areas. Some of the highlights in this book are as follows. A relatively extensive chapter on matrix theory (Appendix A) provides the necessary tools for proving theorems discussed in the text and offers a selection of classical and modern algebraic results that are useful in research work in econometrics, engineering, and optimization theory. The matrix theory of the last ten years has produced a series of fundamental results aboutthe de?niteness ofmatrices,especially forthe di?erences ofmatrices, which enable superiority comparisons of two biased estimates to be made for the ?rst time. We have attempted to provide a uni?ed theory of inference from linear models with minimal assumptions


الكلمات المفتاحية: Mathematics and Statistics / Fitting / Generalized linear model / Least Squares / Likelihood / Optimization Theory / Regression / Best fit / Calculus / Econometrics / Linear regression / Optimization / Statistics