photo Harvard University - Economics Department

Dale Jorgenson

Samuel W. Morris University Professor

Econometrics, Volume One, Table of Contents

Contents

 

List of Tables

xi

Preface

xiii

List of Sources

xxxi

 

 

1

Econometric Methods for Modeling producer Behavior

1

 

Dale W. Jorgenson

 

 

1.1

Introduction

1

 

1.2

Price Functions

8

 

1.3

Statistical Methods

20

 

1.4

Applications of Price Functions

31

 

1.5

Cost Functions

45

 

1.6

Applications of Cost Functions

45

 

1.7

Conclusion

63

 

 

2

Empirical Studies of Depreciations

73

 

Dale W. Jorgenson

 

 

2.1

Econometric Models

75

 

2.2

Studies of Depreciations

81

 

2.3

Applications

87

 

2.4

Conclusion

93

 

 

3 An Economic Theory of Agricultural Household Behavior

97

 

Dale W. Jorgenson and Lawrence J. Lau

 

 

3.1 Introduction

97

 

3.2 The Welfare Function

98

 

3.3 The Utility Functions

108

 

3.4 The Technology

109

 

3.5 The Constraints

112

 

3.6 The Complete Model

115

 

3.7 An Example of Functional Form Econometric Implementation: Utility Function and Cobb-Douglas production Function

122

 

 

4 Transcendental Logarithmic Production Frontiers

125

 

Laurits R. Christensen, Dale W. Jorgenson and Lawrence J. Lau

 

 

4.1 Introduction

125

 

4.2 Additivity and Homogeneity

127

 

4.3 Transcendental Logarithmic Frontiers

134

 

4.4 Testing the Theory of Production

138

 

4.5 Empirical Results

146

 

4.6 Summary and Conclusion

153

 

 

5 The Duality of Technology and Economic Behavior

159

 

Dale W. Jorgenson and James A. Stephenson

 

 

5.1 Introduction

159

 

5.2 Technology

160

 

5.3 Economic Behavior

170

 

5.4 Duality

177

 

5.5 Conclusion

182

 

5.6 Historical Note

185

 

 

6 Duality and Differentiability in Production

189

 

Dale W. Jorgenson and Lawrence J. Lau

 

 

6.1 Introduction

189

 

6.2 Differentiability

190

 

6.3 Duality

194

 

6.4 Production Possibilities

198

 

6.5 Extensions

202

 

 

7 Efficient Estimation of Nonlinear Simultaneous Equations with Additive Disturbances

209

 

Dale W. Jorgenson and Jean-Jacques Laffont

 

 

7.1 Introduction

209

 

7.2 The Model

211

 

7.3 Cramer-Rao Bound

212

 

7.4 Minimum Distance

222

 

7.5 Instrumental Variables

229

 

7.6 Efficiency

232

 

 

8 Tests of a Model of Production for the Federal Republic of Germany, 1950-1973

241

 

Klaus Conrad and Dale W. Jorgenson

 

 

8.1 Introduction

241

 

8.2 Translog Production and Price Functions

242

 

8.3 Integrability

247

 

8.4 Monotonicity and Convexity of Translog Functions

249

 

8.5 Tests of the Theory of Production

252

 

8.6 Estimation and Test Statistics

255

 

8.7 Economic Interpretation

260

 

 

9 The Structure of Technology: Nonjointness and Commodity Augmentation, Federal Republic of Germany, 1950-1973

267

 

Klaus Conrad and Dale W. Jorgenson

 

 

9.1 Introduction

267

 

9.2 Translog Production and price Functions

269

 

9.3 Nonjointness

273

 

9.4 Technical Change

277

 

9.5 Tests

281

 

9.6 Estimation and Test Statistics

283

 

9.7 Conclusion

286

 

 

10 The Structure of Technology and Changes of Technology over Time, Federal Republic of Germany, 1950-1973

291

 

Klaus Conrad and Dale W. Jorgenson

 

 

10.1 Introduction

291

 

10.2 Separability

295

 

10.3 Technical Change

298

 

10.4 Tests

301

 

10.5 Estimation and Test Statistics

303

 

10.6 Conclusion

307

 

10.6 Summary

310

 

 

11 Statistical Inference for a System of Simultaneous, Nonlinear, Implicit Equations in the Context of Instrumental Variable Estimation

311

 

A. Roland Gallant and Dale W. Jorgenson

 

 

11.1 Introduction

311

 

11.I Three-Stage Least-Squares Estimation

313

 

11.2 The Statistical Model Subject to a Maintained Hypothesis

313

 

11.3 The Test Statistics: An Analog of the Likelihood Ratio Test

315

 

11.4 Regularity Conditions

316

 

11.5 The Asymptotic Distribution

317

 

11.6 The Wald Test

323

 

11.7 The Asymptotic Distribution

324

 

11.8 An Example: The Hypothesis of Symmetry

326

 

11.II Two-Stage Least-Squares Estimation

329

 

11.9 The StatisticAL Model

329

 

11.10 The Test Statistic: An Analog of the Likelihood Ratio Test

330

 

11.11 Regularity Conditions

331

 

11.12 The Asymptotic Distribution

332

 

11.13 The Wald Test

333

 

11.14 The Asymptotic Distribution

333

 

11.15 An Example: The Hypothesis of Homogeneity

334

 

Appendix

334

 

 

12 Investment Behavior in U.S. Regulated Industries

341

 

Dale W. Jorgenson and Barbara Fraumeni

 

 

12.1 Introduction

341

 

12.2 Econometric Models

344

 

12.3 Empirical Results

354

 

12.4 Conclusion

369

13 Relative Price Changes and Biases of Technical Change in Japan

373

 

Masahiro Kuroda, Kanji Yoshioka, and Dale W. Jorgenson

 

 

13.1 Introduction

379

 

13.2 Theoretical Framework

379

 

13.3 Design of Experiment and Data Sources

388

 

13.4 Estimated Results

392

14 The Role of Energy in Productivity Growth

403

 

Dale W. Jorgenson

 

 

14.1 Introduction

403

 

14.2 Theoretical Framework

408

 

14.3 Summary and Conclusion

437

 

14.4 Appendix

442

15 Bilateral Models of Production for Japanese and U.S. Industries

457

 

Dale W. Jorgenson, Masahiro Kuroda, Hikaru Sakuramoto, and Kanji Yoshioka

 

 

15.1 Introduction

457

 

15.2 Theoretical Framework

458

 

15.3 Empirical Results

462

 

15.4 Conclusion

472

 

Appendix A

476

 

Appendix B

480

 

 

References

489

Index

527