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Maximum Entropy Econometrics: Robust Estimation with Limited Data
 
 
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Maximum Entropy Econometrics: Robust Estimation with Limited Data [Hardcover]

Amos Golan (Author), George G. Judge (Author), Douglas Miller (Author)

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Book Description

0471953113 978-0471953111 April 19, 1996 1
In the theory and practice of econometrics the model, the method and the data are all interdependent links in information recovery-estimation and inference. Seldom, however, are the economic and statistical models correctly specified, the data complete or capable of being replicated, the estimation rules optimal and the inferences free of distortion. Faced with these problems, Maximum Entropy Economeirics provides a new basis for learning from economic and statistical models that may be non-regular in the sense that they are ill-posed or underdetermined and the data are partial or incomplete. By extending the maximum entropy formalisms used in the physical sciences, the authors present a new set of generalized entropy techniques designed to recover information about economic systems. The authors compare the generalized entropy techniques with the performance of the relevant traditional methods of information recovery and clearly demonstrate theories with applications including
* Pure inverse problems that include first order Markov processes, and input-output, multisectoral or SAM models to
* Inverse problems with noise that include statistical models subject to ill-conditioning, non-normal errors, heteroskedasticity, autocorrelation, censored, multinomial and simultaneous response data, as well as model selection and non-stationary and dynamic control problems
Maximum Entropy Econometrics will be of interest to econometricians trying to devise procedures for recovering information from partial or incomplete data, as well as quantitative economists in finance and business, statisticians, and students and applied researchers in econometrics, engineering and the physical sciences.

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Editorial Reviews

From the Publisher

Renowned experts in the field consider the problems of recovering and processing information when the underlying data is limited or partial and the corresponding models that form the basis for estimation and inference are ill-posed or underdetermined. This book presents a nonlinear inversion procedure which provides a foundation for making conservative inferences about an unknown and unobservable number, vector or function. Parts one and two deal with handling pure and noise type stationary and non-stationary inverse problems. The final segment uses entropy techniques to analyze data for a range of underdetermined economic/econometric problems.

From the Back Cover

In the theory and practice of econometrics the model, the method and the data are all interdependent links in information recovery-estimation and inference. Seldom, however, are the economic and statistical models correctly specified, the data complete or capable of being replicated, the estimation rules ?optimal? and the inferences free of distortion. Faced with these problems, Maximum Entropy Economeirics provides a new basis for learning from economic and statistical models that may be non-regular in the sense that they are ill-posed or underdetermined and the data are partial or incomplete. By extending the maximum entropy formalisms used in the physical sciences, the authors present a new set of generalized entropy techniques designed to recover information about economic systems. The authors compare the generalized entropy techniques with the performance of the relevant traditional methods of information recovery and clearly demonstrate theories with applications including
  • Pure inverse problems that include first order Markov processes, and input-output, multisectoral or SAM models to
  • Inverse problems with noise that include statistical models subject to ill-conditioning, non-normal errors, heteroskedasticity, autocorrelation, censored, multinomial and simultaneous response data, as well as model selection and non-stationary and dynamic control problems
Maximum Entropy Econometrics will be of interest to econometricians trying to devise procedures for recovering information from partial or incomplete data, as well as quantitative economists in finance and business, statisticians, and students and applied researchers in econometrics, engineering and the physical sciences.

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Inside This Book (learn more)
First Sentence:
In this book we focus on the problem of recovering and processing information when the underlying sampling model is incompletely or incorrectly known and the data are limited, partial or incomplete. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
normalized entropy measure, pure inverse problems, traditional variable selection procedures, multinomial response data, empirical risk functions, multinomial problem, recovering estimates, dice problem, beer demand, dual objective function, underdetermined problems, recovered parameters, traditional estimators, additivity constraints, entropy formalism, linear inverse problems, entropy objective, entropy formulations, information processing rules, mathematical inversion, ridge estimator, sampling performance, sampling experiment, information recovery, recovering information
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, John Wiley, Journal of the American Statistical Association, Monte Carlo, University of California, Annals of Statistics, Journal of Econometrics, Academic Press, Annals of Mathematical Statistics, Cambridge University Press, Marcel Dekker, Journal of Basic Engineering, Journal of Computational Physics, Model of Fluctuations, Oxford University Press, Physics Review
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