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978-3-540-74227-2 |
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100301s2008 gw | s |||| 0|eng d |
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|a 9783540742272
|9 978-3-540-74227-2
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|a 10.1007/978-3-540-74227-2
|2 doi
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|a QA273.A1-274.9
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|a PBT
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|a PBWL
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|a 519.2
|2 23
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|a Rao, C. Radhakrishna.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Linear Models and Generalizations
|h [electronic resource] :
|b Least Squares and Alternatives /
|c by C. Radhakrishna Rao, Helge Toutenburg, Shalabh, Christian Heumann.
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250 |
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|a 3rd ed. 2008.
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264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2008.
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|a XIX, 572 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Springer Series in Statistics,
|x 2197-568X
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505 |
0 |
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|a The Simple Linear Regression Model -- The Multiple Linear Regression Model and Its Extensions -- The Generalized Linear Regression Model -- Exact and Stochastic Linear Restrictions -- Prediction in the Generalized Regression Model -- Sensitivity Analysis -- Analysis of Incomplete Data Sets -- Robust Regression -- Models for Categorical Response Variables.
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520 |
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|a Thebookisbasedonseveralyearsofexperienceofbothauthorsinteaching linear models at various levels. It 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 o?ers a selectionofclassicalandmodernalgebraicresultsthatareusefulinresearch 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. Besides the usual least-squares theory, alternative methods of estimation and testing based on convex loss fu- tions and general estimating equations are discussed. Special emphasis is given to sensitivity analysis and model selection. A special chapter is devoted to the analysis of categorical data based on logit, loglinear, and logistic regression models. The material covered, theoretical discussion, and a variety of practical applications will be useful not only to students but also to researchers and consultants in statistics.
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650 |
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|a Probabilities.
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650 |
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|a Statistics .
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650 |
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|a Econometrics.
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650 |
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|a Computer science-Mathematics.
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650 |
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|a Mathematical statistics.
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650 |
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|a Operations research.
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650 |
1 |
4 |
|a Probability Theory.
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650 |
2 |
4 |
|a Statistical Theory and Methods.
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650 |
2 |
4 |
|a Quantitative Economics.
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650 |
2 |
4 |
|a Probability and Statistics in Computer Science.
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650 |
2 |
4 |
|a Operations Research and Decision Theory.
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700 |
1 |
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|a Toutenburg, Helge.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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700 |
1 |
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|a Shalabh.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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700 |
1 |
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|a Heumann, Christian.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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710 |
2 |
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|a SpringerLink (Online service)
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773 |
0 |
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|t Springer Nature eBook
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776 |
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8 |
|i Printed edition:
|z 9783540842224
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776 |
0 |
8 |
|i Printed edition:
|z 9783642093531
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776 |
0 |
8 |
|i Printed edition:
|z 9783540742265
|
830 |
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0 |
|a Springer Series in Statistics,
|x 2197-568X
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856 |
4 |
0 |
|u https://doi.uam.elogim.com/10.1007/978-3-540-74227-2
|z Texto Completo
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912 |
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|a ZDB-2-SMA
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912 |
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|a ZDB-2-SXMS
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950 |
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|a Mathematics and Statistics (SpringerNature-11649)
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950 |
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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