## Data Envelopment Analysis: Theory and Techniques for Economics and Operations ResearchUsing the neo-classical theory of production economics as the analytical framework, this book, first published in 2004, provides a unified and easily comprehensible, yet fairly rigorous, exposition of the core literature on data envelopment analysis (DEA) for readers based in different disciplines. The various DEA models are developed as nonparametric alternatives to the econometric models. Apart from the standard fare consisting of the basic input- and output-oriented DEA models formulated by Charnes, Cooper, and Rhodes, and Banker, Charnes, and Cooper, the book covers developments such as the directional distance function, free disposal hull (FDH) analysis, non-radial measures of efficiency, multiplier bounds, mergers and break-up of firms, and measurement of productivity change through the Malmquist total factor productivity index. The chapter on efficiency measurement using market prices provides the critical link between DEA and the neo-classical theory of a competitive firm. The book also covers several forms of stochastic DEA in detail. |

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### Contents

Introduction and Overview | 1 |

Productivity Efficiency and Data Envelopment Analysis | 12 |

Appendix to Chapter 2 | 44 |

Separating Technical and Scale Efficiencies | 46 |

Extensions to the Basic DEA Models | 82 |

Nonradial Models and ParetoKoopmans Measures of Technical Efficiency | 111 |

Free Disposal Hull Analysis | 134 |

Assurance RegionCone Ratio Analysis | 159 |

Efficiency of Merger and Breakup of Firms | 187 |

Efficiency Analysis with Market Prices | 208 |

Nonparametric Approaches in Production Economics | 245 |

Measuring Total Productivity Change over Time | 274 |

Stochastic Approaches to Data Envelopment Analysis | 307 |

Looking Ahead | 327 |

329 | |

339 | |

### Other editions - View all

Data Envelopment Analysis: Theory and Techniques for Economics and ... Subhash C. Ray No preview available - 2004 |

Data Envelopment Analysis: Theory and Techniques for Economics and ... Subhash C. Ray No preview available - 2012 |

### Common terms and phrases

_OBS3_ allocative efficiency assumption average productivity BASIC NON-NEG BCC model bootstrap CCR DEA consider constraints cost efficiency cost minimization Data Envelopment Analysis data set DEA model DEA problem decomposition define disposal convex hull dual economic efficiency measure efficiency of firm example Exhibit factor FDH analysis Figure Fisher indexes free disposal convex Hence inefficiency input bundle input level input price input quantities input-oriented technical efficiency input-output combination inputs and outputs INTEGER isoquant Lovell LP problem Malmquist productivity index measure of technical merger MPSS nonparametric nonradial Note objective function observed input observed input-output bundles optimal solution output and input output bundle output level output quantity output slacks output-oriented Pareto-Koopmans producing output production economics production frontier production function production possibility set profit profit maximization ratio relevant returns to scale scale efficiency shadow prices Similarly single-output Suppose technical efficiency Variable Summary vector VRS frontier WACM weak disposability