1) Statistic 
In the context of production theory (e,g, hulten 2000 circa p 21) a nonparametric index number would not be derived from a specific functional form of the production function. See also nonparametric estimation.
Type: Term Pronunciation: non′par-ă-met′rik Definitions: 1. A group of statistical maneuvers that can be applied effectively to nonnormal or nongaussian data that is nonnormal or nongaussian in distribution.
[adj] - (statistics) no involving an estimation of the parameters of a statistic
adjective not involving an estimation of the parameters of a statistic
(of a test or method) not requiring assertions about parameters or about the form of the underlying distribution.