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Archive/Gerhard Tintner
Handbuch der Ökonometrie

Gerhard Tintner · 1960

Handbuch der Ökonometrie

95 sections
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Gerhard Tintner, Handbuch der Ökonometrie

Gerhard Tintner’s Handbuch der Ökonometrie, originally published in 1960 and republished in 2013, is a systematic methodological handbook linking economic theory, mathematical techniques, and statistical estimation. Its central concern is how theoretically constructed economic relationships can acquire empirically defensible numerical form. Econometrics is neither calculation detached from economics nor the mere accumulation of economic observations: it brings mathematical statistics to bear on models whose conceptual organization comes from economic theory.

Ökonometrie ist eine besondere Methode auf dem Gebiet der Nationalökonomie: Die Anwendung der mathematischen Statistik auf wirtschaftliche Daten, um die Modelle, die mit Hilfe der mathematischen Volkswirtschaftslehre konstruiert sind, zu verifizieren und numerische Resultate zu gewinnen.

English translation: Econometrics is a particular method within economics: the application of mathematical statistics to economic data in order to verify the models constructed with the aid of mathematical economics and to obtain numerical results.

The definition gives econometrics two connected tasks: assessing models empirically and determining their quantitative content. Mathematical economics supplies relationships, but their expression as equations does not itself establish their empirical adequacy. Statistical work must connect those relationships with observations. Conversely, numerical results become economically meaningful through the models that organize them. Tintner’s handbook therefore treats economic reasoning and statistical technique as interdependent, while preserving their distinct functions.

Its methodological position also includes an explicit demand concerning the status of economic inquiry:

Die Ökonometrie, wie überhaupt die Nationalökonomie, muß wertfrei sein.

English translation: Econometrics, like economics generally, must be value-free.

This is a demand for a distinction between empirical analysis and valuation, not a claim that econometrics can dispense with theoretical premises. Numerical precision should not be confused with justification for a particular economic objective. Read alongside the opening definition, the statement locates the discipline’s authority in its analysis of economic relationships rather than in the selection of ends. The handbook’s conception of scientific economics thus combines theoretical commitments with a requirement of value neutrality.

Its structure makes this methodological program practical. The treatment of economic models includes dynamic relationships, illustrated by an Austrian consumption model with lagged income. Such an example gives temporal specification an economic role: consumption is related to income from an earlier period, rather than represented solely through contemporaneous magnitudes. The transition to mathematical and statistical methods then equips the reader to work with models of this kind.

Part II develops matrix algebra, determinants, numerical solution procedures, eigenvalues, and the simplex method. This material supplies a computational language for handling systems of economic relationships and constrained optimization. Part III turns to regression, simultaneous equation systems, and time-series analysis. Worked economic examples and statistical tables connect the exposition of methods with their application. The sequence moves from specifying relationships through the mathematical machinery needed to manipulate them to the statistical problems involved in learning from observations.

The ordering is consistent with Tintner’s insistence that empirical analysis begins from economic assumptions:

In der modernen Ökonometrie gehen wir immer von wirtschaftstheoretischen Voraussetzungen aus.

English translation: In modern econometrics we always proceed from assumptions grounded in economic theory.

Theory therefore enters before estimation, in the construction of the object to be estimated. Choosing a dynamic consumption relationship, for example, already specifies something about how economic behavior unfolds over time. Statistical procedures do not independently supply that interpretation. The handbook’s conceptual move is to make the premises of quantitative inquiry explicit rather than treating observed associations as self-explanatory economic laws.

The identification problem exposes a further difficulty. Before asking how accurately the parameters of a model can be estimated, one must ask whether their estimation is possible at all. In simultaneous systems, recovering the economic relationships represented by the model is a different task from obtaining a numerical fit. Identification consequently concerns the relation between theoretical specification and what observations can establish; it cannot be reduced to a more efficient calculation.

Tintner also distinguishes this problem from forecasting within unchanged circumstances:

Das Problem der Identifikation existiert nicht, wenn wir einfach Voraussagen unter ungeänderten Umständen machen.

English translation: The problem of identification does not exist if we simply make predictions under unchanged circumstances.

The qualification is essential. Prediction under maintained conditions and the recovery of structural economic relationships make different demands on a model. A successful forecast does not, by itself, settle the interpretation of the underlying system. This distinction helps explain why the handbook needs both practical estimation techniques and prior methodological analysis.

The work’s lasting relevance lies in this integration. Its mathematical apparatus serves a broader account of what economic measurement requires: explicit theoretical premises, an appropriate temporal and systemic specification, and attention to whether the desired relationships can actually be recovered. Tintner presents econometrics as a disciplined passage from economic concepts to numerical claims, with identification marking a crucial limit on what calculation alone can accomplish.

Sections

This work was divided into 95 sections when it entered the library's research corpus—an apparatus for search and citation, not necessarily the author's own table of contents. Each title opens its summary.

  1. 1Title Pages, Publication Details, and Dedication▾
  2. 2Preface: Statistical Emphasis, Empirical Examples, and Acknowledgments▾
  3. 3Contents: Econometric Models, Mathematical Tools, and Statistical Methods▾
  4. 4Contents: Econometric Equation Systems, Time Series Analysis, Tables and Indexes▾
  5. 5Defining Econometrics and Its Relationship to Economic Theory▾
  6. 6Econometrics and Economic Policy▾
  7. 7Econometric Methods: Structural Identification and Aggregation▾
  8. 8Interpretations of Probability and Their Econometric Uses▾
  9. 9Probability Rules, Random Variables, Expectations, and Moments▾
  10. 10Joint Distributions, Limit Theorems, Probability Bounds, and Normality▾
  11. 11Normal, Chi-Square, Student's t, and F Distributions: Definitions and Table Examples▾
  12. 12Sampling Theory and Its Limitations in Econometrics▾
  13. 13Parameter Estimation: Least Squares, Maximum Likelihood, and Estimator Properties▾
  14. 14Confidence Limits and Their Fiducial and Frequentist Interpretations▾
  15. 15Confidence Intervals, Degrees of Freedom, and Significance Tests▾
  16. 16Hypothesis Testing, Decision Theory, and Linear Regression▾
  17. 17Regression Inference, Conditional Estimation, and Exactly Identified Systems▾
  18. 18Multicollinearity, Measurement Error, and Testing Independent Relationships▾
  19. 19Time Series, Autocorrelation Tests, and Trend Removal▾
  20. 20Remedies for Autocorrelated Regression Residuals: Differencing, Standard Errors, and Autoregressive Transformations▾
  21. 21Strategic Game Theory and the Solution of Two-Person Zero-Sum Games▾
  22. 22Economic Applications of Game Theory and Its Connection to Linear Programming▾
  23. 23Statistical Decision Functions and the Limits of Wald’s Minimax Principle▾
  24. 24Econometric Models: Purpose and Empirical Cautions▾
  25. 25Demand Functions, Homogeneity, Elasticities, and Austrian Pork Demand Data▾
  26. 26Pork Demand in Austria: Data Sources, Alternative Estimates, and Statistical Reliability▾
  27. 27Veal Demand in Austria: Price Elasticity, Autocorrelation, and Household Survey Evidence▾
  28. 28Whole-Milk Demand in Germany, 1950–1955▾
  29. 29Butter Demand in Germany, 1950–1955▾
  30. 30Supply Functions: Theory and Agricultural Estimates▾
  31. 31Cost Functions and the Foundations of Cobb–Douglas Production Analysis▾
  32. 32Estimating Austria’s Agricultural Production Function from Eight Production Regions, 1954/55▾
  33. 33Agricultural Cross-Section Estimates by Federal State and Farming Type▾
  34. 34Linear Programming: Production Constraints, Slack Variables, and Basic Feasible Solutions▾
  35. 35Agricultural Linear Programming Example: Choosing between Corn and Flax▾
  36. 36Utility Estimation, Wald’s Engel-Curve Method, and Expenditure Elasticities▾
  37. 37Austrian Household Expenditure Elasticities and Linear and Logarithmic Engel Curves▾
  38. 38Estimating and Interpreting Expenditure Elasticities in Austria’s 1954–55 Consumer Survey▾
  39. 39Food Elasticity Tables and Social-Group Differences in Consumption Responses▾
  40. 40Food Expenditure Elasticities by Social Group and Quality-Adjusted Quantity Elasticities▾
  41. 41Closed and Open Leontief Input-Output Systems▾
  42. 42A Closed Four-Sector Leontief Model for Austria in 1955▾
  43. 43An Open Leontief Model: Demand, Labor, and Price Multipliers▾
  44. 44Static Macroeconomic Systems and the Original Classical Model▾
  45. 45Modified Classical, Pigou, and Keynesian Models: Assumptions and Empirical Comparison▾
  46. 46A Static Keynesian Model of Austria, 1948–1956▾
  47. 47Sources for Austrian Consumption, Investment, Savings, Prices, and Population Data, 1948–1956▾
  48. 48Estimating the Austrian Keynesian Model: Consumption, Savings, and the Multiplier▾
  49. 49A Keynesian Model for Germany, 1948–1955: Trends and Statistical Uncertainty▾
  50. 50Dynamic General Equilibrium, Price Expectations, and Business Cycles▾
  51. 51A Dynamic Austrian Macroeconomic Model: Lagged Consumption and Reduced-Form Estimation▾
  52. 52Introduction to Matrix Calculus▾
  53. 53Linear Systems, Matrix Inversion, Determinants, and Eigenvalue Problems▾
  54. 54Numerical Methods: Solving Linear Equation Systems by Crout’s Method▾
  55. 55Computing Determinants from Crout’s Decomposition▾
  56. 56Computing Inverse Matrices with Tabular Elimination▾
  57. 57Iterative Eigenvalue Computation, Deflation, and Trace Shifting▾
  58. 58The Simplex Method: Formulation, Feasible Bases, and Pivot Rules▾
  59. 59Worked Simplex Example with Two Variables and Two Constraints▾
  60. 60Part Three: Introduction to Correlation and Regression▾
  61. 61Simple Correlation and Regression: Estimation, Inference, and Veal Demand▾
  62. 62Multiple Regression: Matrix Estimation, Statistical Tests, and German Butter Demand▾
  63. 63Testing Linear Restrictions and Constant Returns in Austrian Agriculture▾
  64. 64Conditional Regression and Veal Demand Elasticity▾
  65. 65Overview of Systems of Econometric Equations▾
  66. 66The Econometric Problem: Equilibrium, Aggregation, and Stochastic Errors▾
  67. 67The Econometric Problem: Dynamics, Predetermined Variables, and Estimation Limits▾
  68. 68The Cowles Commission Model and Identification▾
  69. 69Identification of Structural Equations: Purpose and Conditions▾
  70. 70Example 1: Unidentified Supply and Demand and Identification through Stability Assumptions▾
  71. 71Example 2: Income Exclusion, Exact Identification, and Overidentification▾
  72. 72Exact Identification and Reduced-Form Estimation of Supply and Demand▾
  73. 73Identifying and Estimating an Austrian Consumption–Saving Model▾
  74. 74Recursive Systems and Austrian Pork-Market Dynamics▾
  75. 75Multicollinearity, Measurement Error, and Eigenvalue Rank Tests▾
  76. 76Weighted Regression with Measurement Errors: Estimation, Inference, and Austrian Pork Demand▾
  77. 77Overview of Applications of Time-Series Analysis▾
  78. 78Estimating Logistic Trends through a Reciprocal Transformation▾
  79. 79Estimating a Logistic Population Trend for Sweden▾
  80. 80Time Trends in Multiple Regression and the Frisch–Waugh Theorem▾
  81. 81The Variate Difference Method: Theory, Tests, and Austrian Economic Applications▾
  82. 82Tests for Autocorrelation and Their Application to Demand Regression Residuals▾
  83. 83First-Order Stochastic Difference Equations and Tests of the Markov Model▾
  84. 84Testing Correlations Between Autocorrelated Time Series▾
  85. 85Simple Regression with Autocorrelated Residuals▾
  86. 86Autoregressive Transformation and First Differencing▾
  87. 87First-difference transformation of the Austrian pork supply regression▾
  88. 88Statistical table directory and source references▾
  89. 89Table 1: Standard normal cumulative probabilities▾
  90. 90Tables 2–3: Chi-square and Student t critical values▾
  91. 91Table 4: F-distribution critical values at five percent▾
  92. 92Table 5: F-distribution critical values at one percent▾
  93. 93Tables 6–8: Cyclic autocorrelation thresholds and difference-method coefficients▾
  94. 94Name Index▾
  95. 95Subject Index▾

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