2.8 Profit Functions2.8.1 Properties; 2.8.2 Marginal Effects; 2.8.3 Example; 2.9 Other Sets and Functions; 2.9.1 Production Functions; 2.9.2 Input Requirement Functions; 2.9.3 Directional Distance Functions; 2.9.4 Hyperbolic Distance Functions; 2.9.5 Technology-and-Environment-Specific Sets and Functions; 2.9.6 Period-Specific Sets and Functions; 2.9.7 State-Contingent Sets and Functions; 2.10 Summary and Further Reading; References; 3 Measures of Productivity Change; 3.1 Output Quantity Indices; 3.1.1 Additive Indices; 3.1.2 Multiplicative Indices; 3.1.3 Primal Indices; 3.1.4 Dual Indices
3.1.5 Benefit-of-the-Doubt Indices3.1.6 Other Indices; 3.1.7 Toy Example; 3.2 Input Quantity Indices; 3.2.1 Additive Indices; 3.2.2 Multiplicative Indices; 3.2.3 Primal Indices; 3.2.4 Dual Indices; 3.2.5 Benefit-of-the-Doubt Indices; 3.2.6 Other Indices; 3.2.7 Toy Example; 3.3 Productivity Indices; 3.3.1 Additive Indices; 3.3.2 Multiplicative Indices; 3.3.3 Primal Indices; 3.3.4 Dual Indices; 3.3.5 Benefit-of-the-Doubt Indices; 3.3.6 Other Indices; 3.3.7 Toy Example; 3.4 Other Indices; 3.4.1 Output Price Indices; 3.4.2 Input Price Indices; 3.4.3 Terms-of-Trade Indices
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This book provides a coherent description of the main concepts and statistical methods used to analyse economic performance. The focus is on measures of performance that are of practical relevance to policy makers. Most, if not all, of these measures can be viewed as measures of productivity and/or efficiency. Linking fields as diverse as index number theory, data envelopment analysis and stochastic frontier analysis, the book explains how to compute measures of input and output quantity change that are consistent with measurement theory. It then discusses ways in which meaningful measures of productivity change can be decomposed into measures of technical progress, environmental change, and different types of efficiency change. The book is aimed at graduate students, researchers, statisticians, accountants and economists working in universities, regulatory authorities, government departments and private firms. The book contains many numerical examples. Computer codes and datasets are available on a companion website.--