Regression Analysis Under A Priori Parameter Restrictions
Authors: Knopov, Pavel S., Korkhin, Arnold S.
Free Preview- Presents four central topics in stochastic optimization: calculation of parameter estimates, the asymptotic theory of estimates, estimation theory for small samples, and prediction theory
- Â Describes applications to practical problems from various areas of study including econometrics, clinical medicine, and several other experimental sciences
- Considers the problems of prediction by means of linear regression in the context of small samples
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- About this book
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This monograph focuses on the construction of regression models with linear and non-linear constrain inequalities from the theoretical point of view. Unlike previous publications, this volume analyses the properties of regression with inequality constrains, investigating the flexibility of inequality constrains and their ability to adapt in the presence of additional a priori information The implementation of inequality constrains improves the accuracy of models, and decreases the likelihood of errors. Based on the obtained theoretical results, a computational technique for estimation and prognostication problems is suggested. This approach lends itself to numerous applications in various practical problems, several of which are discussed in detail The book is useful resource for graduate students, PhD students, as well as for researchers who specialize in applied statistics and optimization. This book may also be useful to specialists in other branches of applied mathematics, technology, econometrics and finance
- Table of contents (6 chapters)
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Estimation of Regression Model Parameters with Specific Constraints
Pages 1-28
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Asymptotic Properties of Parameters in Nonlinear Regression Models
Pages 29-71
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Method of Empirical Means in Nonlinear Regression and Stochastic Optimization Models
Pages 73-120
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Determination of Accuracy of Estimation of Regression Parameters Under Inequality Constraints
Pages 121-181
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Asymptotic Properties of Recurrent Estimates of Parameters of Nonlinear Regression with Constraints
Pages 183-210
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Regression Analysis Under A Priori Parameter Restrictions
- Authors
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- Pavel S. Knopov
- Arnold S. Korkhin
- Series Title
- Springer Optimization and Its Applications
- Series Volume
- 54
- Copyright
- 2012
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer Science+Business Media
- eBook ISBN
- 978-1-4614-0574-0
- DOI
- 10.1007/978-1-4614-0574-0
- Hardcover ISBN
- 978-1-4614-0573-3
- Softcover ISBN
- 978-1-4614-2955-5
- Series ISSN
- 1931-6828
- Edition Number
- 1
- Number of Pages
- XIV, 234
- Topics
