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Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity
| Content Provider | Semantic Scholar |
|---|---|
| Author | Briec, Walter Kerstens, Kristiaan Eeckaut, Philippe Vanden |
| Copyright Year | 2002 |
| Abstract | This contribution is the first systematic attempt to develop a series of nonparametric, deterministic technologies and cost functions without maintaining convexity. Specifically, we introduce returns to scale assumptions into an existing non-convex technology and, dual to these technologies, define non-convex cost functions that are never lower than their convex counterparts. Both non-convex technologies and cost functions (total, ray-average and marginal) are characterized by closed form expressions. Furthermore, a local duality result is established between a local cost function and the input distance function. Finally, nonparametric goodness-of-fit tests for convexity are developed as a first step towards making it a statistically testable hypothesis. |
| Starting Page | 155 |
| Ending Page | 192 |
| Page Count | 38 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s00712-003-0620-y |
| Volume Number | 81 |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1007/s00712-003-0620-y |
| Alternate Webpage(s) | https://www.unioviedo.es/oeg/ESP/esp_2002_03.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s00712-003-0620-y |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
