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| Author: | Carey, M. |
| Title: | Estimating nonparametric convex functions using gradient data |
| Journal: | European Journal of Operational Research
1989 : JUL, VOL. 41:1, p.73-85 |
| Index terms: | PRODUCTION FUNCTION DEMAND FUNCTIONS ESTIMATION MATHEMATICAL MODELS STATISTICAL METHODS |
| Language: | eng |
| Abstract: | It is assumed that the data used in the estimation and use of nonparametric convex functions comprise observations of the convex function. An important additional or alternative source of data consists of observations on the subgradient of the function. This allows to estimate nonparametric convex functions when other point observation data are unavailable or unobservable, or unreliable or costly to obtain, and allows an alternative even when other /point observation/ data are available, finally it may improve the estimates by using both types of data. Introduction of other data in addition to the gradient data is also considered. The discussion is illustrated by reference to estimating production functions, benefit functions and demand functions. |
SCIMA