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Finite Sample Econometrics [Pehme köide]

(, Professor of Economics, University of California, Riverside)
  • Formaat: Paperback / softback, 242 pages, kõrgus x laius x paksus: 234x156x14 mm, kaal: 377 g
  • Sari: Advanced Texts in Econometrics
  • Ilmumisaeg: 20-May-2004
  • Kirjastus: Oxford University Press
  • ISBN-10: 0198774486
  • ISBN-13: 9780198774488
Teised raamatud teemal:
  • Formaat: Paperback / softback, 242 pages, kõrgus x laius x paksus: 234x156x14 mm, kaal: 377 g
  • Sari: Advanced Texts in Econometrics
  • Ilmumisaeg: 20-May-2004
  • Kirjastus: Oxford University Press
  • ISBN-10: 0198774486
  • ISBN-13: 9780198774488
Teised raamatud teemal:
This book provides a comprehensive and unified treatment of finite sample statistics and econometrics, a field that has evolved in the last five decades. Within this framework, this is the first book which discusses the basic analytical tools of finite sample econometrics, and explores their applications to models covered in a first year graduate course in econometrics, including repression functions, dynamic models, forecasting, simultaneous equations models, panel data models, and censored models. Both linear and nonlinear models, as well as models with normal and non-normal errors, are studied.

About the Series
Advanced Texts in Econometrics is a distinguished and rapidly expanding series in which leading econometricians assess recent developments in such areas as stochastic probability, panel and time series data analysis, modeling, and cointegration. In both hardback and affordable paperback, each volume explains the nature and applicability of a topic in greater depth than possible in introductory textbooks or single journal articles. Each definitive work is formatted to be as accessible and convenient for those who are not familiar with the detailed primary literature.
Preface ix
Introduction
1(8)
Finite Sample Moments
9(42)
Introduction
9(1)
Exact Moments: Normal Case
9(9)
Exact Moments: Nonnormal Case
18(6)
Binomial Distribution
18(1)
Poisson Distribution
19(1)
Gamma Distribution
19(1)
Exponential Family
20(1)
K-Parameter Exponential Density
21(1)
Mixtures of Distributions
22(1)
Edgeworth Density or Gram-Charlier Density
23(1)
Exact Moments: General Case
24(2)
Approximations of Moments
26(22)
Large Sample Approximations: Normal and Nonnormal
27(9)
Small-σ Approximations: Normal and Nonnormal
36(8)
Results for Non-i.i.d Cases
44(1)
The Laplace Approximation: Normal and Nonnormal
45(3)
Summary and Survey
48(3)
Finite Sample Distributions
51(24)
Introduction
51(1)
Exact Distribution
51(4)
Distribution of Ratio of Quadratic Forms
52(3)
Approximations of the Distribution of Quadratic Forms
55(1)
Limiting Distributions
56(1)
Nonnormal Case
57(1)
Large-n Edgeworth Expansion
57(10)
Small-σ Edgeworth Expansion of h(y) (Normal and Nonnormal)
67(2)
Remarks on the Edgeworth Expansion
69(6)
Regression Model
75(22)
Introduction
75(1)
Model Specification and Least Squares Estimation
75(2)
Properties of Estimators
77(20)
Coefficients Estimators
77(3)
Residuals and Residual Sum of Squares
80(3)
R2 and Adjusted R2
83(3)
The F-Ratio
86(1)
Prediction
87(2)
Exact Moments Under Nonnormal
89(1)
Approximate Moments
90(4)
Hypothesis Testing
94(2)
Nonlinear Regression Models
96(1)
Models with Nonscalar Covariance Matrix of Errors
97(32)
Introduction
97(1)
General Model with Nonscalar Covariance Matrix
97(10)
Exact Moments
97(3)
Approximate Distribution and Moments
100(4)
Hypothesis Testing
104(3)
Specialized Models
107(22)
Heteroskedasticity
107(5)
Heteroskedasticity Testing
112(1)
Model with Autocorrelation
113(3)
Seemingly Unrelated Regressions
116(4)
Limited Dependent Variable Models
120(3)
Panel Data Models
123(6)
Dynamic Time Series Model
129(24)
Introduction
129(1)
Model and Least-Squares Estimator
129(4)
Finite Sample Results for Dynamic Model
133(18)
Review
133(4)
Exact Results for AR(1) model
137(2)
Approximate Methods
139(6)
Probability Distributions
145(2)
Armax model
147(1)
Nonnormal Case
148(1)
Cointegration Model
149(2)
Conclusion
151(2)
Simultaneous Equations Model
153(26)
Introduction
153(1)
Simultaneous Equations Model
154(17)
Model Specification
154(1)
Moments of the Single Equation Estimators
155(7)
Moments of the IV Estimators of β
162(1)
General Case of m Endogenous Variables
162(2)
Approximate Moments
164(1)
Nonlinear Simultaneous Equations Model
164(2)
Density Function of IV Estimator
166(2)
Further Finite Sample Results
168(2)
Summary of Results
170(1)
Analysis of Weak Instruments
171(8)
Effects on the Moments and Distribution
171(4)
Issue of Optimal Instruments
175(4)
Appendix A Statistical Methods
179(20)
A.1 Moments and Cumulants
179(1)
A.2 Gram-Charlier and Edgeworth Series
180(2)
A.3 Asymptotic Expansion and Asymptotic Approximation
182(3)
A.3.1 Asymptotic Expansion (Stochastic)
184(1)
A.4 Moments of the Quadratic Forms Under Normality
185(2)
A.5 Moments of Quadratic Forms Under Nonnormality
187(1)
A.6 Moment of Quadratic Form of a Vector of Squared Nonnormal Random Variables
188(1)
A.7 Moments of Quadratic Forms in Random Matrices
189(3)
A.8 Distribution of Quadratic Forms
192(4)
A.8.1 Density and Moments of a Noncentral Chi-square Variable
193(1)
A.8.2 Moment Generating Function and Characteristic Function
194(1)
A.8.3 Density Function Based on Characteristic Function
195(1)
A.9 Hypergeometric Functions
196(1)
A.9.1 Asymptotic Expansion
197(1)
A.10 Order of Magnitudes (Small o and Large O)
197(2)
References 199(28)
Index 227


Aman Ullah is a Professor in the Department of Economics at the University of California, Riverside. Earlier, he was a Professor at the University of Western Ontario, Canada and also taught at the Southern Methodist University. He received the Ph.D. degree (1971) in economics from Delhi School of Economics and M.A. in Mathematical Statistics form Lucknow University. A Fellow of the National Academy of Sciences (India), he is the co-author, editor, and co-editor of seven books and the author or co-author of over 100 professional resources papers in economics, econometrics and statistics. He is associate editor of the Journal of Nonparametric Statistics, Economic Reviews, and Empirical Economics, among others.